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Identification

Personal identification

Full name
Thomas Hughes

Author identifiers

Ciência ID
B71A-5744-2C04
ORCID iD
0000-0001-7024-8368
Education
Degree Classification
1974
Concluded
M.S. Mathematics (Master)
University of California Berkeley, United States
1974
Concluded
Ph.D. Engineering Science (Doctor of Philosophy)
University of California Berkeley, United States
1967
Concluded
M.E. Mechanical Engineering (Master)
Pratt Institute, United States
1965
Concluded
B.E. Mechanical Engineering (Bachelor)
Pratt Institute, United States
Affiliation

Science

Category
Host institution
Employer
1974 - 1976 Research Assistant (Research) University of California Berkeley, United States

Teaching in Higher Education

Category
Host institution
Employer
2002 - Current Full Professor (University Teacher) The University of Texas at Austin - Department of Aerospace Engineering and Engineering Mechanics, United States
1985 - 2002 Full Professor (University Teacher) Stanford University Department of Civil and Environmental Engineering, United States
1983 - 2002 Full Professor (University Teacher) Stanford University Department of Mechanical Engineering, United States
1980 - 1982 Associate Professor (University Teacher) Stanford University Department of Mechanical Engineering, United States
1978 - 1980 Associate Professor (University Teacher) California Institute of Technology, United States
1976 - 1978 Assistant Professor (University Teacher) California Institute of Technology, United States
1975 - 1976 Lecturer (University Teacher) University of California Berkeley, United States

Positions / Appointments

Category
Host institution
Employer
2015 - Current Peter O’Donnell Jr. Chair in Computational and Applied Mathematics University of Texas at Austin, United States
2002 - Current Mary and Gordon Crary Professor of Engineering Emeritus Stanford University School of Engineering, United States
2002 - Current ROSE School Faculty Istituto Universitario di Studi Superiori di Pavia, Italy
2002 - Current Adjunct Professor Rice University, United States
2002 - 2015 Computational and Applied Mathematics Chair III University of Texas at Austin, United States
1998 - 2002 Mary and Gordon Crary Professor of Engineering Stanford University School of Engineering, United States
1996 - 2002 Chairman Stanford University - Division of Mechanics and Computation, United States
1994 - 1996 Chairman Stanford University - Division of Applied Mechanics, United States
1988 - 1989 Chairman Stanford University Department of Mechanical Engineering, United States
1984 - 1988 Chairman Stanford University - Division of Applied Mechanics, United States

Others

Category
Host institution
Employer
2010 - Current Scientific Advisor HeartFlow Inc, United States
1990 - 1999 Chairman of the Board of Directors Centric Engineering Systems, United States
1995 - 1996 Director Aerosonix, United States
1990 - 1992 Founder, President and CEO Centric Engineering Systems, United States
1989 - 1989 Director MARC Analysis Research Corporation, United States
1967 - 1969 Research and Development Engineer General Dynamics Electric Boat, United States
1965 - 1966 Mechanical Design Engineer Grumman Aircraft Engineering, United States
Projects

Grant

Designation Funders
2019/09/01 - 2022/08/31 PFI-RP: Noninvasive Technology to Determine an Individual's Risk of Having a Heart Attack
--
Principal investigator
University of Texas at Austin, United States
National Science Foundation
Ongoing
2016/05/19 - 2020/04/30 Novel Simulation Technologies for BHV Long-Term Durability
--
Principal investigator
University of Texas at Austin, United States
National Institutes of Health
Ongoing
2017/01/01 - 2019/12/31 Development of Phase-Field Modeling for Fatigue / Stress Corrosion Crack Growth & Additive Manufacturing
--
Principal investigator
University of Texas at Austin, United States
Office of Naval Research
Concluded
2017/08/01 - 2019/07/31 Isogeometric Analysis Methods for Design of More Efficient Vehicles
--
Principal investigator
University of Texas at Austin, United States
National Science Foundation

Tank Automotive Research Development and Engineering Center
Concluded
2017/01/01 - 2018/12/31 Instantiating the Vision in Isogeometric Design and Analysis
--
Principal investigator
University of Texas at Austin, United States
Office of Naval Research
Concluded
2016/12/01 - 2018/11/30 Toward Non-invasive Detection of Vulnerable Plaques with Targeted Delivery of Nanoparticles
--
Principal investigator
University of Texas at Austin, United States
William and Ella Owens Medical Research Foundation
Concluded

Contract

Designation Funders
2019/10/01 - 2021/09/30 Innovative Multi-scale/Multi-physics Based Tool for Predicting Fatigue Crack Initiation and Propagation in Aircraft Structural Components using Phase Field Mode – STTR Phase II
--
Principal investigator
University of Texas at Austin, United States
Coreform LLC
Ongoing
Outputs

Publications

Book
  1. Hughes, T.J.R.; Sangalli, G.; Takacs, T.; Toshniwal, D.. Smooth multi-patch discretizations in Isogeometric Analysis. 2021.
    10.1016/bs.hna.2020.09.002
  2. Hughes, T.J.R.. Foreword. 2021.
  3. Hughes, T.J.R.; Takizawa, K.; Bazilevs, Y.; Tezduyar, T.E.; Hsu, M.-C.. Computational Cardiovascular Analysis with the Variational Multiscale Methods and Isogeometric Discretization. 2020.
    10.1007/978-3-030-43736-7_6
  4. Hughes, T.J.R.. Foreword for the proceedings volume. 2015.
  5. de Borst, R.; Hughes, T.J.R.; Scott, M.A.; Verhoosel, C.V.. Isogeometric failure analysis. 2011.
    10.1007/978-3-642-19630-0_29
  6. Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.; Scovazzi, G.. Variational multiscale theory of LES turbulence modeling. 2010.
    10.1007/978-90-481-3652-0_16
  7. Gomez, H.; Calo, V.M.; Hughes, T.J.R.. Isogeometric analysis of phase-field models: Application to the cahn-hilliard equation. 2009.
  8. Cottrell, J.A.; Hughes, T.J.R.; Bazilevs, Y.. Isogeometric Analysis: Toward Integration of CAD and FEA. 2009.
    10.1002/9780470749081
  9. Bochev, P.; Hughes, T.J.R.; Scovazzi, G.. A multiscale discontinuous Galerkin method. 2006.
    10.1007/11666806_8
  10. Ferencz, R.M.; Hughes, T.J.R.. Iterative finite element solutions in nonlinear solid mechanics. 1998.
    10.1016/S1570-8659(98)80007-0
  11. Johan, Z.; Mathur, K.K.; Johnsson, S.L.; Hughes, T.J.R.. Mesh decomposition and communication procedures for finite element applications on the connection machine CM-5 system. 1994.
  12. Johan, Z.; Hughes, T.J.R.. An efficient implementation of the spectral partitioning algorithm on connection machine systems. 1992.
  13. Hughes, T.J.R.; Mallet, M.. HIGH-PRECISION FINITE ELEMENT METHOD FOR SHOCK-TUBE CALCULATIONS.. 1985.
  14. Hughes, T.J.R.; Mallet, M.. A high-precision finite element method for shock-tube calculations.. 1985.
  15. Brooks, Alexander N.; Hughes, Thomas J.R.. ALGORITHM FOR SOLVING THE NAVIER-STOKES EQUATIONS BASED UPON THE STREAMLINE UPWIND/PETROV-GALERKIN FORMULATION.. 1984.
  16. Hughes, Thomas J.R.. ANALYSIS OF TRANSIENT ALGORITHMS WITH PARTICULAR REFERENCE TO STABILITY BEHAVIOR.. 1983.
  17. Prevost, J.H.; Hughes, T.J.R.. Dynamic fluid-structure-soil interaction.. 1983.
  18. Hughes, T.J.R.; Tezduyar, T.E.; Brooks, A.N.. Streamline upwind formulations for advection-diffusion, Navier-Stokes, and first-order hyperbolic equations.. 1982.
  19. Hughes, T.J.R.; Brooks, A.. A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline-upwind procedure.. 1982.
  20. Hughes, T.J.R.; Tezduyar, T.E.; Brooks, A.N.. A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations.. 1982.
  21. Prevost, J.H.; Hughes, T.J.R.. Finite element solution of boundary value problems in soil mechanics.. 1980.
  22. Hughes, T.J.R.; Taylor, R.L.; Levy, J.F.. High Reynolds number, steady, incompressible flows by a finite element method.. 1976.
Book chapter
  1. Hughes, T.J.R.; Sangalli, G.; Tani, M.. "Isogeometric analysis: Mathematical and implementational aspects, with applications". 237-315. 2018.
    10.1007/978-3-319-94911-6_4
  2. Borden, M.J.; Hughes, T.J.R.; Landis, C.M.; Anvari, A.; Lee, I.J.. "Phase-field formulation for ductile fracture". 45-70. 2018.
    10.1007/978-3-319-60885-3_3
  3. Evans, J.A.; Hughes, T.J.R.. "Isogeometric compatible discretizations for viscous incompressible flow". 155-193. 2016.
    10.1007/978-3-319-42309-8_4
  4. Liu, J.; Hughes, T.J.R.. "Isogeometric phase-field simulation of boiling". 217-228. 2016.
    10.1007/978-3-319-40827-9_17
  5. Hughes, T.J.R.. "Laudation at the AFSI 2014 conference banquet celebrating Tayfun Tezduyar’s 60th birthday,Tokyo,Japan,March 2014". 1-3. 2016.
    10.1007/978-3-319-40827-9_1
  6. Reali, A.; Hughes, T.J.R.. "An Introduction to Isogeometric Collocation Methods". 173-204. 2015.
    10.1007/978-3-7091-1843-6_4
  7. Verhoosel, C.V.; Scott, M.A.; Borden, M.J.; Hughes, T.J.R.; de Borst, R.. "Discretization of Higher Order Gradient Damage Models Using Isogeometric Finite Elements". 89-120. 2013.
  8. Hossain, S.S.; Kopacz, A.M.; Zhang, Y.; Lee, S.; Lee, T.; Ferrari, M.; Hughes, T.J.R.; Liu, W.K.; Decuzzi, P.. "Multiscale Modeling for the Vascular Transport of Nanoparticles". 437-459. 2012.
  9. Verhoosel, C.V.; Scott, M.A.; Borden, M.J.; De Borst, R.; Hughes, T.J.R.. "Isogeometric failure analysis". 275-282. 2011.
Conference paper
  1. Urick, B.; Crawford, R.H.; Hughes, T.J.R.; Cohen, E.; Riesenfeld, R.F.. "Reconstruction of gap-free intersections for trimmed nurbs surfaces". 2019.
    10.1115/DETC2019-98372
  2. Woodall, R.T.; Hormuth, D.A.; Abdelmalik, M.R.A.; Wu, C.; Feng, X.; Phillips, W.T.; Bao, A.; et al. "Integrating quantitative imaging and computational modeling to predict the spatiotemporal distribution of 186Re nanoliposomes for recurrent glioblastoma treatment". 2019.
    10.1117/12.2512867
  3. Prevost, Jean H.; Hughes, Thomas J.R.. "ANALYSIS OF GRAVITY OFFSHORE STRUCTURE FOUNDATIONS SUBJECTED TO CYCLIC WAVE LOADING.". 2017.
  4. Schillinger, D.; Scott, M.A.; Evans, J.A.; Borden, M.J.; Dedè, L.; Hughes, T.J.R.; Rank, E.. "Isogeometric analysis and the finite cell method". 2012.
  5. Ahn, H.T.; Motlagh, Y.G.; Hughes, T.J.R.. "Variational multiscale simulation of flow around a circular cylinder with exact geometry". 2012.
  6. Hossain, S.; Hossainy, S.; Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.. "Modeling of drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls to treat vulnerable plaques". 2010.
  7. Ferrari, M.; Decuzzi, P.; Hughes, T.J.R.; Liu, W.K.; Cao, J.. "Welcome from the chairs". 2010.
  8. Hughes, T.J.R.; Evans, J.A.. "Isogeometric analysis". 2010.
  9. Hossain, S.; Hossainy, S.; Prabhu, S.; Brasher, N.; Bazilevs, Y.; Calo, V.; Hughes, T.. "Mathematical modelling of transport of drug and drug-encapsulated nanoparticles in coronary arteries". 2008.
  10. Zhang, Y.; Hughes, T.J.R.; Bajaj, C.L.. "Automatic 3D mesh generation for a domain with multiple materials". 2008.
    10.1007/978-3-540-75103-8_21
  11. Bajaj, C.; Goswami, S.; Yu, Z.; Zhang, Y.; Bazilevs, Y.; Hughes, T.J.R.. "Patient specific heart models from high resolution CT". 2007.
  12. Bazilevs, Y.; Zhang, Y.; Calo, V.M.; Goswami, S.; Bajaj, C.L.; Hughes, T.J.R.. "Isogeometric analysis of blood flow: A NURBS-based approach". 2007.
  13. Zhang, Y.; Bazilevs, Y.; Goswami, S.; Bajaj, C.L.; Hughes, T.J.R.. "Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow". 2006.
    10.1007/978-3-540-34958-7_5
  14. Figueroa, C.A.; Vignon-Clementel, I.E.; Jansen, K.E.; Hughes, T.J.R.; Taylor, C.A.. "A new formulation to model blood flow and vessel motion in large, patient-specific models of the cardiovascular system". 2005.
  15. Figueroa, A.; Vignon-Clementel, I.; Jansen, K.; Hughes, T.J.R.; Taylor, C.A.. "Simulation of blood flow and vessel deformation in three-dimensional, patient-specific models of the cardiovascular system using a novel method for fluid-solid interactions". 2005.
  16. Oberai, A.A.; Hughes, T.J.R.. "The variational multiscale formulation of LES: Channel flow at Rer = 590". 2002.
  17. Steele, B.N.; Taylor, C.A.; Wan, J.; Ku, J.P.; Hughes, T.J.R.. "In vivo validation of a one-dimensional finite element method for simulation-based medical planning for cardiovascular bypass surgery". 2001.
  18. Wang, W.-P.; Rifai, S.M.; Hughes, T.J.R.. "Multiphysics simulation of turbomachinery applications using smart structures". 1999.
  19. Taylor, C.A.; Parker, D.; Hughes, T.J.R.; Zarins, C.K.. "Finite element analysis of pulsatile flow in the human abdominal aorta: Geometric model construction from Spiral CT data". 1997.
  20. Rao, Vinay S.; Hughes, T.J.R.; Kan, Edwin; Dutton, R.W.. "New numerical formulation for thermal oxidation". 1997.
  21. Parker, D.; Taylor, C.A.; Hughes, T.J.R.; Zarins, C.K.. "Visualization of anatomic and physiologic data for computational investigations of human vascular disease". 1997.
  22. Taylor, C.A.; Hughes, T.J.R.; Zarins, C.K.. "Finite element analysis of pulsatile flow in the abdominal aorta under resting and exercise conditions". 1996.
  23. Hughes, T.J.R.; Franca, L.P.; Hulbert, G.M.; Johan, Z.; Skakib, F.. "Galerkin/least-squares method for advective-diffusive equations". 1988.
  24. Simo, J.C.; Kennedy, J.G.; Govindjee, S.; Hughes, T.J.R.. "UNCONDITIONALLY CONVERGENT ALGORITHMS FOR NON-SMOOTH MULTISURFACE PLASTICITY AMENABLE TO EXACT LINEARIZATION.". 1987.
  25. Hughes, T.J.R.; Ferencz, R.M.; Hallquist, J.O.. "LARGE-SCALE VECTORIZED IMPLICIT CALCULATIONS IN SOLID MECHANICS ON A CRAY X-MP/48 UTILIZING EBE PRECONDITIONED CONJUGATE GRADIENTS.". 1986.
  26. Hughes, Thomas J.R.. "FINITE ELEMENT ANALYSIS OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: A SYNOPSIS OF THE STREAMLINE-UPWIND/PETROV-GALERKIN FORMULATION.". 1985.
  27. Winget, J.M.; Hughes, T.J.R.. "ELEMENT-BY-ELEMENT ALGORITHMS FOR HEAT TRANSFER ANALYSIS OF STRUCTURES.". 1984.
  28. Hughes, Thomas J.R.; Winget, James; Levit, Itzhak. "ELEMENT-BY-ELEMENT SOLUTION PROCEDURES FOR NONLINEAR STRUCTURAL ANALYSIS.". 1984.
  29. Muller, Arthur; Hughes, Thomas J.R.. "AUGMENTED WEAK FORMS AND ELEMENT-BY-ELEMENT PRECONDITIONERS: EFFICIENT ITERATIVE STRATEGIES FOR STRUCTURAL FINITE ELEMENTS - A PRELIMINARY STUDY.". 1984.
  30. Winget, J.M.; Hughes, T.J.R.. "ELEMENT-BY-ELEMENT ALGORITHMS FOR HEAT TRANSFER ANALYSIS OF STRUCTURES.". 1984.
    10.2514/6.1984-1744
  31. Hughes, T.J.R.; Winget, J.; Levit, I.; Tezduyar, T.E.. "NEW ALTERNATING DIRECTION PROCEDURES IN FINITE ELEMENT ANALYSIS BASED UPON EBE APPROXIMATE FACTORIZATIONS.". 1983.
  32. Prevost, Jean H.; Hughes, Thomas J.R.. "DYNAMIC FLUID-STRUCTURE-SOIL INTERACTION.". 1983.
  33. Tezduyar, T.E.; Hughes, T.J.R.. "FINITE ELEMENT FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE COMPRESSIBLE EULER EQUATIONS.". 1983.
  34. Tezduyar, T.E.; Hughes, T.J.R.. "FINITE ELEMENT FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE COMPRESSIBLE EULER EQUATIONS.". 1983.
    10.2514/6.1983-125
  35. Hughes, T.J.R.; Brooks, A.. "THEORETICAL FRAMEWORK FOR PETROV-GALERKIN METHODS WITH DISCONTINUOUS WEIGHTING FUNCTIONS: APPLICATION TO THE STREAMLINE-UPWIND PROCEDURE.". 1982.
  36. Hughes, Thomas J.R.; Levit, I.; Winget, J.. "UNCONDITIONALLY STABLE ELEMENT-BY-ELEMENT IMPLICIT ALGORITHMS FOR HEAT CONDUCTION ANALYSIS.". 1982.
  37. Hughes, T.J.R.; Carnoy, E.. "NONLINEAR FINITE ELEMENT SHELL FORMULATION ACCOUNTING FOR LARGE MEMBRANE STRAINS.". 1981.
  38. Hughes, T.J.R.; Teduyar, T.E.. "FINITE ELEMENTS BASED UPON MINDLIN PLATE THEORY WITH PARTICULAR REFERENCE TO THE FOUR-NODE BILINEAR ISOPARAMETRIC ELEMENT.". 1981.
  39. Cohen, M.F.; Hughes, T.J.R.; Jennings, P.C.. "COMPARISON OF PARAXIAL AND VISCOUS SILENT BOUNDARY METHODS IN FINITE ELEMENT ANALYSIS.". 1981.
  40. Prevost, Jean H.; Hughes, Thomas J.R.. "FINITE ELEMENT SOLUTION OF BOUNDARY VALUE PROBLEMS IN SOIL MECHANICS.". 1980.
  41. Hughes, T.J.R.; Brooks, A.. "MULTI-DIMENSIONAL UPWIND SCHEME WITH NO CROSSWIND DIFFUSION.". 1979.
  42. Prévost, J.H.; Hughes, T.J.R.. "Analysis of gravity offshore structure foundations subjected to cyclic wave loading". 1978.
Journal article
  1. Shepherd, K.M.; Gu, X.D.; Hughes, T.J.R.. "Isogeometric model reconstruction of open shells via Ricci flow and quadrilateral layout-inducing energies". Engineering Structures 252 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85120984554&partnerID=MN8TOARS.
    10.1016/j.engstruct.2021.113602
  2. Wei, X.; Li, X.; Qian, K.; Hughes, T.J.R.; Zhang, Y.J.; Casquero, H.. "Analysis-suitable unstructured T-splines: Multiple extraordinary points per face". Computer Methods in Applied Mechanics and Engineering 391 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85122232438&partnerID=MN8TOARS.
    10.1016/j.cma.2021.114494
  3. Zou, Z.; Hughes, T.J.R.; Scott, M.A.; Miao, D.; Sauer, R.A.. "Efficient and robust quadratures for isogeometric analysis: Reduced Gauss and Gauss–Greville rules". Computer Methods in Applied Mechanics and Engineering 392 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85124379772&partnerID=MN8TOARS.
    10.1016/j.cma.2022.114722
  4. Stoter, S.K.F.; Cockburn, B.; Hughes, T.J.R.; Schillinger, D.. "Discontinuous Galerkin methods through the lens of variational multiscale analysis". Computer Methods in Applied Mechanics and Engineering 388 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85117959642&partnerID=MN8TOARS.
    10.1016/j.cma.2021.114220
  5. Viguerie, A.; Lorenzo, G.; Auricchio, F.; Baroli, D.; Hughes, T.J.R.; Patton, A.; Reali, A.; Yankeelov, T.E.; Veneziani, A.. "Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion". Applied Mathematics Letters 111 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85087900818&partnerID=MN8TOARS.
    10.1016/j.aml.2020.106617
  6. Toshniwal, D.; Hughes, T.J.R.. "Isogeometric discrete differential forms: Non-uniform degrees, Bézier extraction, polar splines and flows on surfaces". Computer Methods in Applied Mechanics and Engineering 376 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85099615392&partnerID=MN8TOARS.
    10.1016/j.cma.2020.113576
  7. Casquero, H.; Bona-Casas, C.; Toshniwal, D.; Hughes, T.J.R.; Gomez, H.; Zhang, Y.J.. "The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics". Journal of Computational Physics 425 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85093673834&partnerID=MN8TOARS.
    10.1016/j.jcp.2020.109872
  8. Bukowski, R.; Schulz, K.; Gaither, K.; Stephens, K.K.; Semeraro, D.; Drake, J.; Smith, G.; et al. "Computational medicine, present and the future: obstetrics and gynecology perspective". American Journal of Obstetrics and Gynecology 224 1 (2021): 16-34. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094105552&partnerID=MN8TOARS.
    10.1016/j.ajog.2020.08.057
  9. Toshniwal, D.; Mourrain, B.; Hughes, T.J.R.. "Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension". Advances in Computational Mathematics 47 1 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85100348643&partnerID=MN8TOARS.
    10.1007/s10444-020-09829-4
  10. Zou, Z.; Hughes, T.J.R.; Scott, M.A.; Sauer, R.A.; Savitha, E.J.. "Galerkin formulations of isogeometric shell analysis: Alleviating locking with Greville quadratures and higher-order elements". Computer Methods in Applied Mechanics and Engineering 380 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85103407395&partnerID=MN8TOARS.
    10.1016/j.cma.2021.113757
  11. Woodall, R.T.; Hormuth, D.A.; Wu, C.; Abdelmalik, M.R.A.; Phillips, W.T.; Bao, A.; Hughes, T.J.R.; Brenner, A.J.; Yankeelov, T.E.. "Patient specific, imaging-informed modeling of rhenium-186 nanoliposome delivery via convection-enhanced delivery in glioblastoma multiforme". Biomedical Physics and Engineering Express 7 4 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85107247901&partnerID=MN8TOARS.
    10.1088/2057-1976/ac02a6
  12. Morganti, S.; Fahrendorf, F.; de Lorenzis, L.; Evans, J.A.; Hughes, T.J.R.; Reali, A.. "Isogeometric collocation: A mixed displacement-pressure method for nearly incompressible elasticity". CMES - Computer Modeling in Engineering and Sciences 129 1 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85116491977&partnerID=MN8TOARS.
    10.32604/CMES.2021.016832
  13. Mika, M.L.; Hughes, T.J.R.; Schillinger, D.; Wriggers, P.; Hiemstra, R.R.. "A matrix-free isogeometric Galerkin method for Karhunen–Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature". Computer Methods in Applied Mechanics and Engineering 379 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85102649189&partnerID=MN8TOARS.
    10.1016/j.cma.2021.113730
  14. Hiemstra, R.R.; Hughes, T.J.R.; Reali, A.; Schillinger, D.. "Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions". Computer Methods in Applied Mechanics and Engineering 387 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85115383041&partnerID=MN8TOARS.
    10.1016/j.cma.2021.114115
  15. Toshniwal, D.; Speleers, H.; Hiemstra, R.R.; Manni, C.; Hughes, T.J.R.. "Multi-degree B-splines: Algorithmic computation and properties". Computer Aided Geometric Design 76 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85075201978&partnerID=MN8TOARS.
    10.1016/j.cagd.2019.101792
  16. Lorenzo, G.; Hughes, T.J.R.; Reali, A.; Gomez, H.. "A numerical simulation study of the dual role of 5a-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation". Computer Methods in Applied Mechanics and Engineering 362 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85078117237&partnerID=MN8TOARS.
    10.1016/j.cma.2020.112843
  17. Paul, K.; Zimmermann, C.; Mandadapu, K.K.; Hughes, T.J.R.; Landis, C.M.; Sauer, R.A.. "An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS". Computational Mechanics 65 4 (2020): 1039-1062. http://www.scopus.com/inward/record.url?eid=2-s2.0-85078306965&partnerID=MN8TOARS.
    10.1007/s00466-019-01807-y
  18. Casquero, H.; Wei, X.; Toshniwal, D.; Li, A.; Hughes, T.J.R.; Kiendl, J.; Zhang, Y.J.. "Seamless integration of design and Kirchhoff–Love shell analysis using analysis-suitable unstructured T-splines". Computer Methods in Applied Mechanics and Engineering 360 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85076838555&partnerID=MN8TOARS.
    10.1016/j.cma.2019.112765
  19. Fahrendorf, F.; Morganti, S.; Reali, A.; Hughes, T.J.R.; Lorenzis, L.D.. "Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity". Computer Methods in Applied Mechanics and Engineering 369 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85087273041&partnerID=MN8TOARS.
    10.1016/j.cma.2020.113112
  20. Urick, B.; Crawford, R.H.; Hughes, T.J.R.; Cohen, E.; Riesenfeld, R.F.. "Reconstruction of trimmed NURBS surfaces for gap-free intersections". Journal of Computing and Information Science in Engineering 20 5 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85091116390&partnerID=MN8TOARS.
    10.1115/1.4047427
  21. Hiemstra, R.R.; Hughes, T.J.R.; Manni, C.; Speleers, H.; Toshniwal, D.. "A tchebycheffian extension of multidegree B-splines: Algorithmic computation and properties". SIAM Journal on Numerical Analysis 58 2 (2020): 1138-1163. http://www.scopus.com/inward/record.url?eid=2-s2.0-85084735988&partnerID=MN8TOARS.
    10.1137/19M1263583
  22. Johnson, E.L.; Wu, M.C.H.; Xu, F.; Wiese, N.M.; Rajanna, M.R.; Herrema, A.J.; Ganapathysubramanian, B.; et al. "Thinner biological tissues induce leaflet flutter in aortic heart valve replacements". Proceedings of the National Academy of Sciences of the United States of America 117 32 (2020): 19007-19016. http://www.scopus.com/inward/record.url?eid=2-s2.0-85089615833&partnerID=MN8TOARS.
    10.1073/pnas.2002821117
  23. Viguerie, A.; Veneziani, A.; Lorenzo, G.; Baroli, D.; Aretz-Nellesen, N.; Patton, A.; Yankeelov, T.E.; et al. "Diffusion–reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study". Computational Mechanics (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85089384860&partnerID=MN8TOARS.
    10.1007/s00466-020-01888-0
  24. Hiemstra, R.R.; Shepherd, K.M.; Johnson, M.J.; Quan, L.; Hughes, T.J.R.. "Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization". Computer Methods in Applied Mechanics and Engineering 369 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85087338641&partnerID=MN8TOARS.
    10.1016/j.cma.2020.113227
  25. Wei, X.; Li, X.; Zhang, Y.J.; Hughes, T.J.R.. "Tuned hybrid nonuniform subdivision surfaces with optimal convergence rates". International Journal for Numerical Methods in Engineering (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85101234763&partnerID=MN8TOARS.
    10.1002/nme.6608
  26. Garoni, C.; Speleers, H.; Ekström, S.-E.; Reali, A.; Serra-Capizzano, S.; Hughes, T.J.R.. "Symbol-Based Analysis of Finite Element and Isogeometric B-Spline Discretizations of Eigenvalue Problems: Exposition and Review". Archives of Computational Methods in Engineering 26 5 (2019): 1639-1690. http://www.scopus.com/inward/record.url?eid=2-s2.0-85059660583&partnerID=MN8TOARS.
    10.1007/s11831-018-9295-y
  27. Urick, B.; Sanders, T.M.; Hossain, S.S.; Zhang, Y.J.; Hughes, T.J.R.. "Review of Patient-Specific Vascular Modeling: Template-Based Isogeometric Framework and the Case for CAD". Archives of Computational Methods in Engineering 26 2 (2019): 381-404. http://www.scopus.com/inward/record.url?eid=2-s2.0-85035109923&partnerID=MN8TOARS.
    10.1007/s11831-017-9246-z
  28. Lorenzo, G.; Hughes, T.J.R.; Dominguez-Frojan, P.; Reali, A.; Gomez, H.. "Erratum: Computer simulations suggest that prostate enlargement due to benign prostatic hyperplasia mechanically impedes prostate cancer growth (Proceedings of the National Academy of Sciences of the United States of America (2019) 116 (1152–1161) DOI: 10.1073/pnas.1815735116)". Proceedings of the National Academy of Sciences of the United States of America 116 25 (2019): 12572-12572. http://www.scopus.com/inward/record.url?eid=2-s2.0-85067861492&partnerID=MN8TOARS.
    10.1073/pnas.1908514116
  29. Hiemstra, R.R.; Sangalli, G.; Tani, M.; Calabrò, F.; Hughes, T.J.R.. "Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity". Computer Methods in Applied Mechanics and Engineering 355 (2019): 234-260. http://www.scopus.com/inward/record.url?eid=2-s2.0-85067927325&partnerID=MN8TOARS.
    10.1016/j.cma.2019.06.020
  30. Toshniwal, D.; Hughes, T.J.R.. "Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension". Computer Aided Geometric Design 75 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85072870193&partnerID=MN8TOARS.
    10.1016/j.cagd.2019.07.002
  31. Zimmermann, C.; Toshniwal, D.; Landis, C.M.; Hughes, T.J.R.; Mandadapu, K.K.; Sauer, R.A.. "An isogeometric finite element formulation for phase transitions on deforming surfaces". Computer Methods in Applied Mechanics and Engineering 351 (2019): 441-477. http://www.scopus.com/inward/record.url?eid=2-s2.0-85064328976&partnerID=MN8TOARS.
    10.1016/j.cma.2019.03.022
  32. Urick, B.; Marussig, B.; Cohen, E.; Crawford, R.H.; Hughes, T.J.R.; Riesenfeld, R.F.. "Watertight Boolean operations: A framework for creating CAD-compatible gap-free editable solid models". CAD Computer Aided Design 115 (2019): 147-160. http://www.scopus.com/inward/record.url?eid=2-s2.0-85066250241&partnerID=MN8TOARS.
    10.1016/j.cad.2019.05.034
  33. Lorenzo, G.; Hughes, T.J.R.; Dominguez-Frojan, P.; Reali, A.; Gomez, H.. "Computer simulations suggest that prostate enlargement due to benign prostatic hyperplasia mechanically impedes prostate cancer growth". Proceedings of the National Academy of Sciences of the United States of America 116 4 (2019): 1152-1161. http://www.scopus.com/inward/record.url?eid=2-s2.0-85060314897&partnerID=MN8TOARS.
    10.1073/pnas.1815735116
  34. Taus, M.; Rodin, G.J.; Hughes, T.J.R.; Scott, M.A.. "Isogeometric boundary element methods and patch tests for linear elastic problems: Formulation, numerical integration, and applications". Computer Methods in Applied Mechanics and Engineering 357 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85071889091&partnerID=MN8TOARS.
    10.1016/j.cma.2019.112591
  35. Yu, Y.; Kamensky, D.; Hsu, M.-C.; Lu, X.Y.; Bazilevs, Y.; Hughes, T.J.R.. "Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid-structure interaction". Mathematical Models and Methods in Applied Sciences 28 12 (2018): 2457-2509. http://www.scopus.com/inward/record.url?eid=2-s2.0-85052924241&partnerID=MN8TOARS.
    10.1142/S0218202518500537
  36. Guo, Y.; Heller, J.; Hughes, T.J.R.; Ruess, M.; Schillinger, D.. "Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format". Computer Methods in Applied Mechanics and Engineering 336 (2018): 39-79. http://www.scopus.com/inward/record.url?eid=2-s2.0-85044142579&partnerID=MN8TOARS.
    10.1016/j.cma.2018.02.027
  37. Wei, X.; Zhang, Y.J.; Toshniwal, D.; Speleers, H.; Li, X.; Manni, C.; Evans, J.A.; Hughes, T.J.R.. "Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 341 (2018): 609-639. http://www.scopus.com/inward/record.url?eid=2-s2.0-85050564732&partnerID=MN8TOARS.
    10.1016/j.cma.2018.07.013
  38. Marussig, B.; Hiemstra, R.; Hughes, T.J.R.. "Improved conditioning of isogeometric analysis matrices for trimmed geometries". Computer Methods in Applied Mechanics and Engineering 334 (2018): 79-110. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042256260&partnerID=MN8TOARS.
    10.1016/j.cma.2018.01.052
  39. Marussig, B.; Hughes, T.J.R.. "Erratum to: A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects (Archives of Computational Methods in Engineering, (2018), 25, 4, (1059-1127), 10.1007/s11831-017-9220-9)". Archives of Computational Methods in Engineering 25 4 (2018): 1131-1131. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027683818&partnerID=MN8TOARS.
    10.1007/s11831-017-9236-1
  40. Xu, F.; Morganti, S.; Zakerzadeh, R.; Kamensky, D.; Auricchio, F.; Reali, A.; Hughes, T.J.R.; Sacks, M.S.; Hsu, M.-C.. "A framework for designing patient-specific bioprosthetic heart valves using immersogeometric fluid–structure interaction analysis". International Journal for Numerical Methods in Biomedical Engineering 34 4 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85045105030&partnerID=MN8TOARS.
    10.1002/cnm.2938
  41. Evans, J.A.; Hiemstra, R.R.; Hughes, T.J.R.; Reali, A.. "Explicit higher-order accurate isogeometric collocation methods for structural dynamics". Computer Methods in Applied Mechanics and Engineering 338 (2018): 208-240. http://www.scopus.com/inward/record.url?eid=2-s2.0-85046734806&partnerID=MN8TOARS.
    10.1016/j.cma.2018.04.008
  42. Marussig, B.; Hughes, T.J.R.. "A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects". Archives of Computational Methods in Engineering 25 4 (2018): 1059-1127. http://www.scopus.com/inward/record.url?eid=2-s2.0-85020111318&partnerID=MN8TOARS.
    10.1007/s11831-017-9220-9
  43. Prevost, J.H.; Hughes, T.J.R.; Cohen, M.F.. "Analysis of gravity offshore structure foundations.". J. PET. TECHNOL. 32 2 , Feb. 1 (2017): 199-209. http://www.scopus.com/inward/record.url?eid=2-s2.0-0013725819&partnerID=MN8TOARS.
  44. Hughes, T.J.R.; Taylor, R.L.. "NEW FINITE ELEMENT FOR PLATE BENDING ANALYSIS.". Methods for Struct Anal M (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-0017789016&partnerID=MN8TOARS.
  45. Hughes, T.J.R.; Brooks, A.. "A multi-dimensioal upwind scheme with no crosswind diffusion.". IN: FINITE ELEMENT METHODS FOR CONVECTION DOMINATED FLOWS, ASME WINTER ANNUAL MEETING, T.J.R. HUGHES (ED.), NEW YORK, U.S.A., 34 ). (2017): 19-35. http://www.scopus.com/inward/record.url?eid=2-s2.0-0013724411&partnerID=MN8TOARS.
  46. Hiemstra, R.R.; Calabrò, F.; Schillinger, D.; Hughes, T.J.R.. "Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 316 (2017): 966-1004. http://www.scopus.com/inward/record.url?eid=2-s2.0-85006982133&partnerID=MN8TOARS.
    10.1016/j.cma.2016.10.049
  47. Stoter, S.K.F.; Müller, P.; Cicalese, L.; Tuveri, M.; Schillinger, D.; Hughes, T.J.R.. "A diffuse interface method for the Navier–Stokes/Darcy equations: Perfusion profile for a patient-specific human liver based on MRI scans". Computer Methods in Applied Mechanics and Engineering 321 (2017): 70-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018410925&partnerID=MN8TOARS.
    10.1016/j.cma.2017.04.002
  48. Toshniwal, D.; Speleers, H.; Hiemstra, R.R.; Hughes, T.J.R.. "Multi-degree smooth polar splines: A framework for geometric modeling and isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 316 (2017): 1005-1061. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008227582&partnerID=MN8TOARS.
    10.1016/j.cma.2016.11.009
  49. Wei, X.; Zhang, Y.J.; Hughes, T.J.R.. "Truncated hierarchical tricubic C0 spline construction on unstructured hexahedral meshes for isogeometric analysis applications". Computers and Mathematics with Applications 74 9 (2017): 2203-2220. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027447803&partnerID=MN8TOARS.
    10.1016/j.camwa.2017.07.043
  50. Toshniwal, D.; Speleers, H.; Hughes, T.J.R.. "Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations". Computer Methods in Applied Mechanics and Engineering 327 (2017): 411-458. http://www.scopus.com/inward/record.url?eid=2-s2.0-85028042042&partnerID=MN8TOARS.
    10.1016/j.cma.2017.06.008
  51. Borden, M.J.; Hughes, T.J.R.; Landis, C.M.; Anvari, A.; Lee, I.J.. "Corrigendum to “A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects” [Comput. Methods Appl. Mech. Engrg. 312 (2016) 130–166](S0045782516311069)(10.1016/j.cma.2016.09.005)". Computer Methods in Applied Mechanics and Engineering 324 (2017): 712-713. http://www.scopus.com/inward/record.url?eid=2-s2.0-85025144787&partnerID=MN8TOARS.
    10.1016/j.cma.2017.06.023
  52. Kamensky, D.; Hsu, M.-C.; Yu, Y.; Evans, J.A.; Sacks, M.S.; Hughes, T.J.R.. "Immersogeometric cardiovascular fluid–structure interaction analysis with divergence-conforming B-splines". Computer Methods in Applied Mechanics and Engineering 314 (2017): 408-472. http://www.scopus.com/inward/record.url?eid=2-s2.0-84996482971&partnerID=MN8TOARS.
    10.1016/j.cma.2016.07.028
  53. Wei, X.; Zhang, Y.; Liu, L.; Hughes, T.J.R.. "Truncated T-splines: Fundamentals and methods". Computer Methods in Applied Mechanics and Engineering 316 (2017): 349-372. http://www.scopus.com/inward/record.url?eid=2-s2.0-84994667123&partnerID=MN8TOARS.
    10.1016/j.cma.2016.07.020
  54. Lorenzo, G.; Scott, M.A.; Tew, K.; Hughes, T.J.R.; Gomez, H.. "Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth". Computer Methods in Applied Mechanics and Engineering 319 (2017): 515-548. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016471561&partnerID=MN8TOARS.
    10.1016/j.cma.2017.03.009
  55. Zhu, H.; Petra, N.; Stadler, G.; Isaac, T.; Hughes, T.J.R.; Ghattas, O.. "Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model". Cryosphere 10 4 (2016): 1477-1494. http://www.scopus.com/inward/record.url?eid=2-s2.0-84978405272&partnerID=MN8TOARS.
    10.5194/tc-10-1477-2016
  56. Borden, M.J.; Hughes, T.J.R.; Landis, C.M.; Anvari, A.; Lee, I.J.. "A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects". Computer Methods in Applied Mechanics and Engineering 312 (2016): 130-166. http://www.scopus.com/inward/record.url?eid=2-s2.0-84992317657&partnerID=MN8TOARS.
    10.1016/j.cma.2016.09.005
  57. Lorenzo, G.; Scott, M.A.; Tew, K.; Hughes, T.J.R.; Zhang, Y.J.; Liu, L.; Vilanova, G.; Gomez, H.. "Tissue-scale, personalized modeling and simulation of prostate cancer growth". Proceedings of the National Academy of Sciences of the United States of America 113 48 (2016): E7663-E7671. http://www.scopus.com/inward/record.url?eid=2-s2.0-84999018393&partnerID=MN8TOARS.
    10.1073/pnas.1615791113
  58. Wei, X.; Zhang, Y.J.; Hughes, T.J.R.; Scott, M.A.. "Extended Truncated Hierarchical Catmull-Clark Subdivision". Computer Methods in Applied Mechanics and Engineering 299 (2016): 316-336. http://www.scopus.com/inward/record.url?eid=2-s2.0-84949034331&partnerID=MN8TOARS.
    10.1016/j.cma.2015.10.024
  59. Taus, M.; Rodin, G.J.; Hughes, T.J.R.. "Isogeometric analysis of boundary integral equations: High-order collocation methods for the singular and hyper-singular equations". Mathematical Models and Methods in Applied Sciences 26 8 (2016): 1447-1480. http://www.scopus.com/inward/record.url?eid=2-s2.0-84973867625&partnerID=MN8TOARS.
    10.1142/S0218202516500354
  60. Oberai, A.A.; Hughes, T.J.R.. "A palette of fine-scale eddy viscosity and residual-based models for variational multiscale formulations of turbulence". Computational Mechanics 57 4 (2016): 629-635. http://www.scopus.com/inward/record.url?eid=2-s2.0-84961154603&partnerID=MN8TOARS.
    10.1007/s00466-015-1242-2
  61. Wei, X.; Zhang, Y.; Hughes, T.J.R.; Scott, M.A.. "Truncated hierarchical Catmull-Clark subdivision with local refinement". Computer Methods in Applied Mechanics and Engineering 291 (2015): 1-20. http://www.scopus.com/inward/record.url?eid=2-s2.0-84928159424&partnerID=MN8TOARS.
    10.1016/j.cma.2015.03.019
  62. Kiendl, J.; Auricchio, F.; Hughes, T.J.R.; Reali, A.. "Single-variable formulations and isogeometric discretizations for shear deformable beams". Computer Methods in Applied Mechanics and Engineering 284 (2015): 988-1004. http://www.scopus.com/inward/record.url?eid=2-s2.0-84912035321&partnerID=MN8TOARS.
    10.1016/j.cma.2014.11.011
  63. Hossain, S.S.; Zhang, Y.; Fu, X.; Brunner, G.; Singh, J.; Hughes, T.J.R.; Shah, D.; Decuzzi, P.. "Magnetic resonance imaging-based computational modelling of blood flow and nanomedicine deposition in patients with peripheral arterial disease". Journal of the Royal Society Interface 12 106 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84929500842&partnerID=MN8TOARS.
    10.1098/rsif.2015.0001
  64. Morganti, S.; Auricchio, F.; Benson, D.J.; Gambarin, F.I.; Hartmann, S.; Hughes, T.J.R.; Reali, A.. "Patient-specific isogeometric structural analysis of aortic valve closure". Computer Methods in Applied Mechanics and Engineering 284 (2015): 508-520. http://www.scopus.com/inward/record.url?eid=2-s2.0-84909952737&partnerID=MN8TOARS.
    10.1016/j.cma.2014.10.010
  65. Kruse, R.; Nguyen-Thanh, N.; De Lorenzis, L.; Hughes, T.J.R.. "Isogeometric collocation for large deformation elasticity and frictional contact problems". Computer Methods in Applied Mechanics and Engineering 296 (2015): 73-112. http://www.scopus.com/inward/record.url?eid=2-s2.0-84939617131&partnerID=MN8TOARS.
    10.1016/j.cma.2015.07.022
  66. Adam, C.; Hughes, T.J.R.; Bouabdallah, S.; Zarroug, M.; Maitournam, H.. "Selective and reduced numerical integrations for NURBS-based isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 284 (2015): 732-761. http://www.scopus.com/inward/record.url?eid=2-s2.0-84912000554&partnerID=MN8TOARS.
    10.1016/j.cma.2014.11.001
  67. De Lorenzis, L.; Evans, J.A.; Hughes, T.J.R.; Reali, A.. "Isogeometric collocation: Neumann boundary conditions and contact". Computer Methods in Applied Mechanics and Engineering 284 (2015): 21-54. http://www.scopus.com/inward/record.url?eid=2-s2.0-84907683089&partnerID=MN8TOARS.
    10.1016/j.cma.2014.06.037
  68. Liu, J.; Landis, C.M.; Gomez, H.; Hughes, T.J.R.. "Liquid-vapor phase transition: Thermomechanical theory, entropy stable numerical formulation, and boiling simulations". Computer Methods in Applied Mechanics and Engineering 297 (2015): 476-553. http://www.scopus.com/inward/record.url?eid=2-s2.0-84944907313&partnerID=MN8TOARS.
    10.1016/j.cma.2015.09.007
  69. Kamensky, D.; Hsu, M.-C.; Schillinger, D.; Evans, J.A.; Aggarwal, A.; Bazilevs, Y.; Sacks, M.S.; Hughes, T.J.R.. "An immersogeometric variational framework for fluid-structure interaction: Application to bioprosthetic heart valves". Computer Methods in Applied Mechanics and Engineering 284 (2015): 1005-1053. http://www.scopus.com/inward/record.url?eid=2-s2.0-84920079252&partnerID=MN8TOARS.
    10.1016/j.cma.2014.10.040
  70. Beirão Da Veiga, L.; Hughes, T.J.R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H.. "A locking-free model for Reissner-Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS". Mathematical Models and Methods in Applied Sciences 25 8 (2015): 1519-1551. http://www.scopus.com/inward/record.url?eid=2-s2.0-84928768675&partnerID=MN8TOARS.
    10.1142/S0218202515500402
  71. Elguedj, T.; Hughes, T.J.R.. "Isogeometric analysis of nearly incompressible large strain plasticity". Computer Methods in Applied Mechanics and Engineering 268 (2014): 388-416. http://www.scopus.com/inward/record.url?eid=2-s2.0-84886835510&partnerID=MN8TOARS.
    10.1016/j.cma.2013.09.024
  72. Borden, M.J.; Hughes, T.J.R.; Landis, C.M.; Verhoosel, C.V.. "A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework". Computer Methods in Applied Mechanics and Engineering 273 (2014): 100-118. http://www.scopus.com/inward/record.url?eid=2-s2.0-84894318759&partnerID=MN8TOARS.
    10.1016/j.cma.2014.01.016
  73. Schillinger, D.; Evans, J.A.; Frischmann, F.; Hiemstra, R.R.; Hsu, M.-C.; Hughes, T.J.R.. "A collocated C0 finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics". International Journal for Numerical Methods in Engineering 102 3-4 (2014): 576-631. http://www.scopus.com/inward/record.url?eid=2-s2.0-84987657140&partnerID=MN8TOARS.
    10.1002/nme.4783
  74. Hughes, T.J.R.. "Amplitude-phase decompositions and the growth and decay of solutions of the incompressible Navier-Stokes and Euler equations". Mathematical Models and Methods in Applied Sciences 24 5 (2014): 1017-1035. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897616473&partnerID=MN8TOARS.
    10.1142/S0218202513500759
  75. Hsu, M.-C.; Kamensky, D.; Bazilevs, Y.; Sacks, M.S.; Hughes, T.J.R.. "Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation". Computational Mechanics 54 4 (2014): 1055-1071. http://www.scopus.com/inward/record.url?eid=2-s2.0-84920253456&partnerID=MN8TOARS.
    10.1007/s00466-014-1059-4
  76. Bao, G.; Bazilevs, Y.; Chung, J.-H.; Decuzzi, P.; Espinosa, H.D.; Ferrari, M.; Gao, H.; et al. "USNCTAM perspectives on mechanics in medicine". Journal of the Royal Society Interface 11 97 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84903641326&partnerID=MN8TOARS.
    10.1098/rsif.2014.0301
  77. Ginnis, A.I.; Kostas, K.V.; Politis, C.G.; Kaklis, P.D.; Belibassakis, K.A.; Gerostathis, T.; Scott, M.A.; Hughes, T.J.R.. "Isogeometric boundary-element analysis for the wave-resistance problem using T-splines". Computer Methods in Applied Mechanics and Engineering 279 (2014): 425-439. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904762514&partnerID=MN8TOARS.
    10.1016/j.cma.2014.07.001
  78. De Lorenzis, L.; Wriggers, P.; Hughes, T.J.R.. "Isogeometric contact: A review". GAMM Mitteilungen 37 1 (2014): 85-123. http://www.scopus.com/inward/record.url?eid=2-s2.0-84903980307&partnerID=MN8TOARS.
    10.1002/gamm.201410005
  79. Schillinger, D.; Hossain, S.J.; Hughes, T.J.R.. "Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 277 (2014): 1-45. http://www.scopus.com/inward/record.url?eid=2-s2.0-84900466408&partnerID=MN8TOARS.
    10.1016/j.cma.2014.04.008
  80. Hughes, T.J.R.; Evans, J.A.; Reali, A.. "Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems". Computer Methods in Applied Mechanics and Engineering 272 (2014): 290-320. http://www.scopus.com/inward/record.url?eid=2-s2.0-84893781235&partnerID=MN8TOARS.
    10.1016/j.cma.2013.11.012
  81. Oberai, A.A.; Liu, J.; Sondak, D.; Hughes, T.J.R.. "A residual based eddy viscosity model for the large eddy simulation of turbulent flows". Computer Methods in Applied Mechanics and Engineering 282 (2014): 54-70. http://www.scopus.com/inward/record.url?eid=2-s2.0-84908179256&partnerID=MN8TOARS.
    10.1016/j.cma.2014.08.014
  82. Hossain, S.S.; Hughes, T.J.R.; Decuzzi, P.. "Vascular deposition patterns for nanoparticles in an inflamed patient-specific arterial tree". Biomechanics and Modeling in Mechanobiology 13 3 (2014): 585-597. http://www.scopus.com/inward/record.url?eid=2-s2.0-84905586598&partnerID=MN8TOARS.
    10.1007/s10237-013-0520-1
  83. Schillinger, D.; Evans, J.A.; Reali, A.; Scott, M.A.; Hughes, T.J.R.. "Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations". Computer Methods in Applied Mechanics and Engineering 267 (2013): 170-232. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884378293&partnerID=MN8TOARS.
    10.1016/j.cma.2013.07.017
  84. Ghaffari Motlagh, Y.; Ahn, H.T.; Hughes, T.J.R.; Calo, V.M.. "Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method". Computers and Fluids 71 (2013): 146-155. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868697487&partnerID=MN8TOARS.
    10.1016/j.compfluid.2012.09.006
  85. Evans, J.A.; Hughes, T.J.R.. "Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations". Journal of Computational Physics 241 (2013): 141-167. http://www.scopus.com/inward/record.url?eid=2-s2.0-84874507095&partnerID=MN8TOARS.
    10.1016/j.jcp.2013.01.006
  86. Liu, J.; Dedè, L.; Evans, J.A.; Borden, M.J.; Hughes, T.J.. "Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow". Journal of Computational Physics 242 (2013): 321-350. http://www.scopus.com/inward/record.url?eid=2-s2.0-84875103843&partnerID=MN8TOARS.
    10.1016/j.jcp.2013.02.008
  87. Evans, J.A.; Hughes, T.J.R.. "Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements". Numerische Mathematik 123 2 (2013): 259-290. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872285389&partnerID=MN8TOARS.
    10.1007/s00211-012-0484-6
  88. Evans, J.A.; Hughes, T.J.R.. "Isogeometric divergence-conforming b-splines for the steady navier-stokes equations". Mathematical Models and Methods in Applied Sciences 23 8 (2013): 1421-1478. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876697904&partnerID=MN8TOARS.
    10.1142/S0218202513500139
  89. Liu, J.; Gomez, H.; Evans, J.A.; Hughes, T.J.R.; Landis, C.M.. "Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations". Journal of Computational Physics 248 (2013): 47-86. http://www.scopus.com/inward/record.url?eid=2-s2.0-84877906231&partnerID=MN8TOARS.
    10.1016/j.jcp.2013.04.005
  90. Wang, W.; Zhang, Y.; Liu, L.; Hughes, T.J.R.. "Trivariate solid T-spline construction from boundary triangulations with arbitrary genus topology". CAD Computer Aided Design 45 2 (2013): 351-360. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868215520&partnerID=MN8TOARS.
    10.1016/j.cad.2012.10.018
  91. Scott, M.A.; Simpson, R.N.; Evans, J.A.; Lipton, S.; Bordas, S.P.A.; Hughes, T.J.R.; Sederberg, T.W.. "Isogeometric boundary element analysis using unstructured T-splines". Computer Methods in Applied Mechanics and Engineering 254 (2013): 197-221. http://www.scopus.com/inward/record.url?eid=2-s2.0-84870805346&partnerID=MN8TOARS.
    10.1016/j.cma.2012.11.001
  92. Zhang, Y.; Wang, W.; Hughes, T.J.R.. "Conformal solid T-spline construction from boundary T-spline representations". Computational Mechanics 51 6 (2013): 1051-1059. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878629306&partnerID=MN8TOARS.
    10.1007/s00466-012-0787-6
  93. Liu, L.; Zhang, Y.; Hughes, T.J.R.; Scott, M.A.; Sederberg, T.W.. "Volumetric T-spline construction using Boolean operations". Engineering with Computers 30 4 (2013): 425-439. http://www.scopus.com/inward/record.url?eid=2-s2.0-84887562243&partnerID=MN8TOARS.
    10.1007/s00366-013-0346-6
  94. Hossain, S.S.; Zhang, Y.; Liang, X.; Hussain, F.; Ferrari, M.; Hughes, T.J.; Decuzzi, P.. "In silico vascular modeling for personalized nanoparticle delivery". Nanomedicine 8 3 (2013): 343-357. http://www.scopus.com/inward/record.url?eid=2-s2.0-84874847729&partnerID=MN8TOARS.
    10.2217/nnm.12.124
  95. Evans, J.A.; Hughes, T.J.R.. "Isogeometric divergence-conforming b-splines for the darcy-stokes-brinkman equations". Mathematical Models and Methods in Applied Sciences 23 4 (2013): 671-741. http://www.scopus.com/inward/record.url?eid=2-s2.0-84873030083&partnerID=MN8TOARS.
    10.1142/S0218202512500583
  96. Benson, D.J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T.J.R.. "Blended isogeometric shells". Computer Methods in Applied Mechanics and Engineering 255 (2013): 133-146. http://www.scopus.com/inward/record.url?eid=2-s2.0-84871646975&partnerID=MN8TOARS.
    10.1016/j.cma.2012.11.020
  97. Schillinger, D.; Dedè, L.; Scott, M.A.; Evans, J.A.; Borden, M.J.; Rank, E.; Hughes, T.J.R.. "An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces". Computer Methods in Applied Mechanics and Engineering 249-252 (2012): 116-150. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869887823&partnerID=MN8TOARS.
    10.1016/j.cma.2012.03.017
  98. Borden, M.J.; Verhoosel, C.V.; Scott, M.A.; Hughes, T.J.R.; Landis, C.M.. "A phase-field description of dynamic brittle fracture". Computer Methods in Applied Mechanics and Engineering 217-220 (2012): 77-95. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856768710&partnerID=MN8TOARS.
    10.1016/j.cma.2012.01.008
  99. Chang, K.; Hughes, T.J.R.; Calo, V.M.. "Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall". Computers and Fluids 68 (2012): 94-104. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865540562&partnerID=MN8TOARS.
    10.1016/j.compfluid.2012.06.009
  100. Auricchio, F.; Beirão da Veiga, L.; Hughes, T.J.R.; Reali, A.; Sangalli, G.. "Isogeometric collocation for elastostatics and explicit dynamics". Computer Methods in Applied Mechanics and Engineering 249-252 (2012): 2-14. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869862829&partnerID=MN8TOARS.
    10.1016/j.cma.2012.03.026
  101. Wang, W.; Zhang, Y.; Xu, G.; Hughes, T.J.R.. "Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline". Computational Mechanics 50 1 (2012): 65-84. http://www.scopus.com/inward/record.url?eid=2-s2.0-84862556182&partnerID=MN8TOARS.
    10.1007/s00466-011-0674-6
  102. Zhang, Y.; Wang, W.; Hughes, T.J.R.. "Solid T-spline construction from boundary representations for genus-zero geometry". Computer Methods in Applied Mechanics and Engineering 249-252 (2012): 185-197. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869861871&partnerID=MN8TOARS.
    10.1016/j.cma.2012.01.014
  103. Li, X.; Zheng, J.; Sederberg, T.W.; Hughes, T.J.R.; Scott, M.A.. "On linear independence of T-spline blending functions". Computer Aided Geometric Design 29 1 (2012): 63-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-81855176019&partnerID=MN8TOARS.
    10.1016/j.cagd.2011.08.005
  104. Santos, H.A.F.A.; Evans, J.A.; Hughes, T.J.R.. "Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence". Computer Methods in Applied Mechanics and Engineering 209-212 (2012): 101-114. http://www.scopus.com/inward/record.url?eid=2-s2.0-83455181872&partnerID=MN8TOARS.
    10.1016/j.cma.2011.08.018
  105. Auricchio, F.; Calabrò, F.; Hughes, T.J.R.; Reali, A.; Sangalli, G.. "A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 249-252 (2012): 15-27. http://www.scopus.com/inward/record.url?eid=2-s2.0-84869875125&partnerID=MN8TOARS.
    10.1016/j.cma.2012.04.014
  106. Temizer, I.; Wriggers, P.; Hughes, T.J.R.. "Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS". Computer Methods in Applied Mechanics and Engineering 209-212 (2012): 115-128. http://www.scopus.com/inward/record.url?eid=2-s2.0-83455181790&partnerID=MN8TOARS.
    10.1016/j.cma.2011.10.014
  107. Hossain, S.S.; Hossainy, S.F.A.; Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.. "Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls". Computational Mechanics 49 2 (2012): 213-242. http://www.scopus.com/inward/record.url?eid=2-s2.0-84858440650&partnerID=MN8TOARS.
    10.1007/s00466-011-0633-2
  108. Scott, M.A.; Li, X.; Sederberg, T.W.; Hughes, T.J.R.. "Local refinement of analysis-suitable T-splines". Computer Methods in Applied Mechanics and Engineering 213-216 (2012): 206-222. http://www.scopus.com/inward/record.url?eid=2-s2.0-84862776991&partnerID=MN8TOARS.
    10.1016/j.cma.2011.11.022
  109. Duddu, R.; Lavier, L.L.; Hughes, T.J.; Calo, V.M.. "A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements". International Journal for Numerical Methods in Engineering 89 6 (2012): 762-785. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856342966&partnerID=MN8TOARS.
    10.1002/nme.3262
  110. Dedè, L.; Borden, M.J.; Hughes, T.J.R.. "Isogeometric Analysis for Topology Optimization with a Phase Field Model". Archives of Computational Methods in Engineering 19 3 (2012): 427-465. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865587878&partnerID=MN8TOARS.
    10.1007/s11831-012-9075-z
  111. Petra, N.; Zhu, H.; Stadler, G.; Hughes, T.J.R.; Ghattas, O.. "An inexact Gauss-Newton method for inversion of basal sliding and rheology parameters in a nonlinear Stokes ice sheet model". Journal of Glaciology 58 211 (2012): 889-903. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867214339&partnerID=MN8TOARS.
    10.3189/2012JoG11J182
  112. Evans, J.A.; Hughes, T.J.R.. "Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem". Computational Mechanics 50 6 (2012): 667-674. http://www.scopus.com/inward/record.url?eid=2-s2.0-84889093523&partnerID=MN8TOARS.
    10.1007/s00466-012-0788-5
  113. Brezzi, F.; Evans, J.A.; Hughes, T.J.R.; Marini, L.D.. "New rectangular plate elements based on twist-Kirchhoff theory". Computer Methods in Applied Mechanics and Engineering 200 33-36 (2011): 2547-2561. http://www.scopus.com/inward/record.url?eid=2-s2.0-79957462358&partnerID=MN8TOARS.
    10.1016/j.cma.2011.04.012
  114. Wang, W.; Zhang, Y.; Scott, M.A.; Hughes, T.J.R.. "Converting an unstructured quadrilateral mesh to a standard T-spline surface". Computational Mechanics 48 4 (2011): 477-498. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027950335&partnerID=MN8TOARS.
    10.1007/s00466-011-0598-1
  115. Benson, D.J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T.J.. "A large deformation, rotation-free, isogeometric shell". Computer Methods in Applied Mechanics and Engineering 200 13-16 (2011): 1367-1378. http://www.scopus.com/inward/record.url?eid=2-s2.0-78751648559&partnerID=MN8TOARS.
    10.1016/j.cma.2010.12.003
  116. Verhoosel, C.V.; Scott, M.A.; De Borst, R.; Hughes, T.J.R.. "An isogeometric approach to cohesive zone modeling". International Journal for Numerical Methods in Engineering 87 1-5 (2011): 336-360. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958740731&partnerID=MN8TOARS.
    10.1002/nme.3061
  117. Gomez, H.; Hughes, T.J.R.. "Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models". Journal of Computational Physics 230 13 (2011): 5310-5327. http://www.scopus.com/inward/record.url?eid=2-s2.0-79955469960&partnerID=MN8TOARS.
    10.1016/j.jcp.2011.03.033
  118. Verhoosel, C.V.; Scott, M.A.; Hughes, T.J.R.; de Borst, R.. "An isogeometric analysis approach to gradient damage models". International Journal for Numerical Methods in Engineering 86 1 (2011): 115-134. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952222903&partnerID=MN8TOARS.
    10.1002/nme.3150
  119. Borden, M.J.; Scott, M.A.; Evans, J.A.; Hughes, T.J.R.. "Isogeometric finite element data structures based on Bézier extraction of NURBS". International Journal for Numerical Methods in Engineering 87 1-5 (2011): 15-47. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958718260&partnerID=MN8TOARS.
    10.1002/nme.2968
  120. Scott, M.A.; Borden, M.J.; Verhoosel, C.V.; Sederberg, T.W.; Hughes, T.J.R.. "Isogeometric finite element data structures based on Bézier extraction of T-splines". International Journal for Numerical Methods in Engineering 88 2 (2011): 126-156. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052882561&partnerID=MN8TOARS.
    10.1002/nme.3167
  121. Temizer, I.; Wriggers, P.; Hughes, T.J.R.. "Contact treatment in isogeometric analysis with NURBS". Computer Methods in Applied Mechanics and Engineering 200 9-12 (2011): 1100-1112. http://www.scopus.com/inward/record.url?eid=2-s2.0-78650974743&partnerID=MN8TOARS.
    10.1016/j.cma.2010.11.020
  122. Hughes, T.J.R.; Scovazzi, G.; Tezduyar, T.E.. "Stabilized methods for compressible flows". Journal of Scientific Computing 43 3 (2010): 343-368. http://www.scopus.com/inward/record.url?eid=2-s2.0-77953019800&partnerID=MN8TOARS.
    10.1007/s10915-008-9233-5
  123. Bazilevs, Y.; Calo, V.M.; Cottrell, J.A.; Evans, J.A.; Hughes, T.J.R.; Lipton, S.; Scott, M.A.; Sederberg, T.W.. "Isogeometric analysis using T-splines". Computer Methods in Applied Mechanics and Engineering 199 5-8 (2010): 229-263. http://www.scopus.com/inward/record.url?eid=2-s2.0-72549115635&partnerID=MN8TOARS.
    10.1016/j.cma.2009.02.036
  124. Auricchio, F.; Da Veiga, L.B.; Hughes, T.J.R.; Reali, A.; Sangalli, G.. "Isogeometric collocation methods". Mathematical Models and Methods in Applied Sciences 20 11 (2010): 2075-2107. http://www.scopus.com/inward/record.url?eid=2-s2.0-78649560293&partnerID=MN8TOARS.
    10.1142/S0218202510004878
  125. Hsu, M.-C.; Bazilevs, Y.; Calo, V.M.; Tezduyar, T.E.; Hughes, T.J.R.. "Improving stability of stabilized and multiscale formulations in flow simulations at small time steps". Computer Methods in Applied Mechanics and Engineering 199 13-16 (2010): 828-840. http://www.scopus.com/inward/record.url?eid=2-s2.0-74049159510&partnerID=MN8TOARS.
    10.1016/j.cma.2009.06.019
  126. Hughes, T.J.R.; Reali, A.; Sangalli, G.. "Efficient quadrature for NURBS-based isogeometric analysis". Computer Methods in Applied Mechanics and Engineering 199 5-8 (2010): 301-313. http://www.scopus.com/inward/record.url?eid=2-s2.0-72549114621&partnerID=MN8TOARS.
    10.1016/j.cma.2008.12.004
  127. Gomez, H.; Hughes, T.J.R.; Nogueira, X.; Calo, V.M.. "Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations". Computer Methods in Applied Mechanics and Engineering 199 25-28 (2010): 1828-1840. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952553498&partnerID=MN8TOARS.
    10.1016/j.cma.2010.02.010
  128. Zhang, Y.; Hughes, T.J.R.; Bajaj, C.L.. "An automatic 3D mesh generation method for domains with multiple materials". Computer Methods in Applied Mechanics and Engineering 199 5-8 (2010): 405-415. http://www.scopus.com/inward/record.url?eid=2-s2.0-72549092454&partnerID=MN8TOARS.
    10.1016/j.cma.2009.06.007
  129. Bazilevs, Y.; Michler, C.; Calo, V.M.; Hughes, T.J.R.. "Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes". Computer Methods in Applied Mechanics and Engineering 199 13-16 (2010): 780-790. http://www.scopus.com/inward/record.url?eid=2-s2.0-74049137363&partnerID=MN8TOARS.
    10.1016/j.cma.2008.11.020
  130. Bazilevs, Y.; Bajaj, C.L.; Calo, V.M.; Hughes, T.J.R.. "Special issue on computational geometry and analysis". Computer Methods in Applied Mechanics and Engineering 199 5-8 (2010): 223-223. http://www.scopus.com/inward/record.url?eid=2-s2.0-72549117821&partnerID=MN8TOARS.
    10.1016/j.cma.2009.10.006
  131. Benson, D.J.; Bazilevs, Y.; Hsu, M.C.; Hughes, T.J.R.. "Isogeometric shell analysis: The Reissner-Mindlin shell". Computer Methods in Applied Mechanics and Engineering 199 5-8 (2010): 276-289. http://www.scopus.com/inward/record.url?eid=2-s2.0-72549097830&partnerID=MN8TOARS.
    10.1016/j.cma.2009.05.011
  132. Benson, D.J.; Bazilevs, Y.; de Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T.J.R.; Belytschko, T.. "A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM". International Journal for Numerical Methods in Engineering 83 6 (2010): 765-785. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955098423&partnerID=MN8TOARS.
    10.1002/nme.2864
  133. Calo, V.M.; Bazilevs, Y.; Hughes, T.J.R.; Moser, R.. "Turbulence modeling for large eddy simulations". Computer Methods in Applied Mechanics and Engineering 199 13-16 (2010): 779-779. http://www.scopus.com/inward/record.url?eid=2-s2.0-74049162843&partnerID=MN8TOARS.
    10.1016/j.cma.2009.09.016
  134. Lipton, S.; Evans, J.A.; Bazilevs, Y.; Elguedj, T.; Hughes, T.J.R.. "Robustness of isogeometric structural discretizations under severe mesh distortion". Computer Methods in Applied Mechanics and Engineering 199 5-8 (2010): 357-373. http://www.scopus.com/inward/record.url?eid=2-s2.0-72549094241&partnerID=MN8TOARS.
    10.1016/j.cma.2009.01.022
  135. Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.; Taylor, C.A.. "Preface to the special issue on models and methods in computational vascular and cardiovascular mechanics". Computer Methods in Applied Mechanics and Engineering 198 45-46 (2009): 3513-3513. http://www.scopus.com/inward/record.url?eid=2-s2.0-69949132954&partnerID=MN8TOARS.
    10.1016/j.cma.2009.07.004
  136. Kim, H.J.; Figueroa, C.A.; Hughes, T.J.R.; Jansen, K.E.; Taylor, C.A.. "Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow". Computer Methods in Applied Mechanics and Engineering 198 45-46 (2009): 3551-3566. http://www.scopus.com/inward/record.url?eid=2-s2.0-67651152451&partnerID=MN8TOARS.
    10.1016/j.cma.2009.02.012
  137. Bazilevs, Y.; Gohean, J.R.; Hughes, T.J.R.; Moser, R.D.; Zhang, Y.. "Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device". Computer Methods in Applied Mechanics and Engineering 198 45-46 (2009): 3534-3550. http://www.scopus.com/inward/record.url?eid=2-s2.0-67649770719&partnerID=MN8TOARS.
    10.1016/j.cma.2009.04.015
  138. Evans, J.A.; Hughes, T.J.R.; Sangalli, G.. "Enforcement of constraints and maximum principles in the variational multiscale method". Computer Methods in Applied Mechanics and Engineering 199 1-4 (2009): 61-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-70449341469&partnerID=MN8TOARS.
    10.1016/j.cma.2009.09.019
  139. Evans, J.A.; Bazilevs, Y.; Babuška, I.; Hughes, T.J.R.. "n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method". Computer Methods in Applied Mechanics and Engineering 198 21-26 (2009): 1726-1741. http://www.scopus.com/inward/record.url?eid=2-s2.0-63249121158&partnerID=MN8TOARS.
    10.1016/j.cma.2009.01.021
  140. Hughes, T.J.R.; Reali, A.; Sangalli, G.. "Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS". Computer Methods in Applied Mechanics and Engineering 197 49-50 (2008): 4104-4124. http://www.scopus.com/inward/record.url?eid=2-s2.0-52749086594&partnerID=MN8TOARS.
    10.1016/j.cma.2008.04.006
  141. Akkerman, I.; Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.; Hulshoff, S.. "The role of continuity in residual-based variational multiscale modeling of turbulence". Computational Mechanics 41 3 (2008): 371-378. http://www.scopus.com/inward/record.url?eid=2-s2.0-36749054591&partnerID=MN8TOARS.
    10.1007/s00466-007-0193-7
  142. Gómez, H.; Calo, V.M.; Bazilevs, Y.; Hughes, T.J.R.. "Isogeometric analysis of the Cahn-Hilliard phase-field model". Computer Methods in Applied Mechanics and Engineering 197 49-50 (2008): 4333-4352. http://www.scopus.com/inward/record.url?eid=2-s2.0-52749093955&partnerID=MN8TOARS.
    10.1016/j.cma.2008.05.003
  143. Calo, V.M.; Brasher, N.F.; Bazilevs, Y.; Hughes, T.J.R.. "Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow". Computational Mechanics 43 1 (2008): 161-177. http://www.scopus.com/inward/record.url?eid=2-s2.0-52549095602&partnerID=MN8TOARS.
    10.1007/s00466-008-0321-z
  144. Elguedj, T.; Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.. "over(B, -) and over(F, -) projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements". Computer Methods in Applied Mechanics and Engineering 197 33-40 (2008): 2732-2762. http://www.scopus.com/inward/record.url?eid=2-s2.0-44749085922&partnerID=MN8TOARS.
    10.1016/j.cma.2008.01.012
  145. Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.; Zhang, Y.. "Isogeometric fluid-structure interaction: Theory, algorithms, and computations". Computational Mechanics 43 1 (2008): 3-37. http://www.scopus.com/inward/record.url?eid=2-s2.0-52549126993&partnerID=MN8TOARS.
    10.1007/s00466-008-0315-x
  146. Elguedj, T.; Bazilevs, Y.; Calo, V.M.; Hughes, T.J.R.. "F-bar projection method for finite deformation elasticity and plasticity using NURBS based isogeometric analysis". International Journal of Material Forming 1 SUPPL. 1 (2008): 1091-1094. http://www.scopus.com/inward/record.url?eid=2-s2.0-78651591676&partnerID=MN8TOARS.
    10.1007/s12289-008-0209-7
  147. Bazilevs, Y.; Hughes, T.J.R.. "NURBS-based isogeometric analysis for the computation of flows about rotating components". Computational Mechanics 43 1 (2008): 143-150. http://www.scopus.com/inward/record.url?eid=2-s2.0-52549119450&partnerID=MN8TOARS.
    10.1007/s00466-008-0277-z
  148. Bazilevs, Y.; Calo, V.M.; Tezduyar, T.E.; Hughes, T.J.R.. "YZß discontinuity capturing for advection-dominated processes with application to arterial drug delivery". International Journal for Numerical Methods in Fluids 54 6-8 (2007): 593-608. http://www.scopus.com/inward/record.url?eid=2-s2.0-34347362891&partnerID=MN8TOARS.
    10.1002/fld.1484
  149. Bazilevs, Y.; Calo, V.M.; Cottrell, J.A.; Hughes, T.J.R.; Reali, A.; Scovazzi, G.. "Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows". Computer Methods in Applied Mechanics and Engineering 197 1-4 (2007): 173-201. http://www.scopus.com/inward/record.url?eid=2-s2.0-35348895586&partnerID=MN8TOARS.
    10.1016/j.cma.2007.07.016
  150. Hughes, T.J.R.; Sangalli, G.. "Variational multiscale analysis: The fine-scale green's function, projection, optimization, localization, and stabilized methods". SIAM Journal on Numerical Analysis 45 2 (2007): 539-557. http://www.scopus.com/inward/record.url?eid=2-s2.0-34948876124&partnerID=MN8TOARS.
    10.1137/050645646
  151. Bazilevs, Y.; Hughes, T.J.R.. "Weak imposition of Dirichlet boundary conditions in fluid mechanics". Computers and Fluids 36 1 (2007): 12-26. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750384397&partnerID=MN8TOARS.
    10.1016/j.compfluid.2005.07.012
  152. Zhang, Y.; Bazilevs, Y.; Goswami, S.; Bajaj, C.L.; Hughes, T.J.R.. "Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow". Computer Methods in Applied Mechanics and Engineering 196 29-30 (2007): 2943-2959. http://www.scopus.com/inward/record.url?eid=2-s2.0-34247647396&partnerID=MN8TOARS.
    10.1016/j.cma.2007.02.009
  153. Bazilevs, Y.; Michler, C.; Calo, V.M.; Hughes, T.J.R.. "Weak Dirichlet boundary conditions for wall-bounded turbulent flows". Computer Methods in Applied Mechanics and Engineering 196 49-52 (2007): 4853-4862. http://www.scopus.com/inward/record.url?eid=2-s2.0-34548746927&partnerID=MN8TOARS.
    10.1016/j.cma.2007.06.026
  154. Cottrell, J.A.; Hughes, T.J.R.; Reali, A.. "Studies of refinement and continuity in isogeometric structural analysis". Computer Methods in Applied Mechanics and Engineering 196 41-44 (2007): 4160-4183. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547629767&partnerID=MN8TOARS.
    10.1016/j.cma.2007.04.007
  155. Scovazzi, G.; Christon, M.A.; Hughes, T.J.R.; Shadid, J.N.. "Stabilized shock hydrodynamics: I. A Lagrangian method". Computer Methods in Applied Mechanics and Engineering 196 4-6 (2007): 923-966. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750457004&partnerID=MN8TOARS.
    10.1016/j.cma.2006.08.008
  156. Tezduyar, T.E.; Matsumoto, Y.; Hughes, T.J.R.; Hafez, M.. "Editorial". Computers and Fluids 36 1 (2007): 1-1. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750423616&partnerID=MN8TOARS.
    10.1016/j.compfluid.2005.10.001
  157. Hughes, T.J.R.; Scovazzi, G.; Bochev, P.B.; Buffa, A.. "A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method". Computer Methods in Applied Mechanics and Engineering 195 19-22 (2006): 2761-2787. http://www.scopus.com/inward/record.url?eid=2-s2.0-33644584742&partnerID=MN8TOARS.
    10.1016/j.cma.2005.06.006
  158. Bazilevs, Y.; Beirão Da Veiga, L.; Cottrell, J.A.; Hughes, T.J.R.; Sangalli, G.. "Isogeometric analysis: Approximation, stability and error estimates for h-refined meshes". Mathematical Models and Methods in Applied Sciences 16 7 (2006): 1031-1090. http://www.scopus.com/inward/record.url?eid=2-s2.0-33746101034&partnerID=MN8TOARS.
    10.1142/S0218202506001455
  159. Hughes, T.J.R.; Masud, A.; Wan, J.. "A stabilized mixed discontinuous Galerkin method for Darcy flow". Computer Methods in Applied Mechanics and Engineering 195 25-28 (2006): 3347-3381. http://www.scopus.com/inward/record.url?eid=2-s2.0-33645911505&partnerID=MN8TOARS.
    10.1016/j.cma.2005.06.018
  160. Figueroa, C.A.; Vignon-Clementel, I.E.; Jansen, K.E.; Hughes, T.J.R.; Taylor, C.A.. "A coupled momentum method for modeling blood flow in three-dimensional deformable arteries". Computer Methods in Applied Mechanics and Engineering 195 41-43 (2006): 5685-5706. http://www.scopus.com/inward/record.url?eid=2-s2.0-33746830062&partnerID=MN8TOARS.
    10.1016/j.cma.2005.11.011
  161. Hughes, T.J.R.; Wells, G.N.. "Erratum: "Conservation properties for the Galerkin and stabilised forms of the advection-diffusion and incompressible Navier-Stokes equations" (Computer Methods in Applied Mechanics and Engineering (2005) vol. 194 (1141-1159) 10.1016/j.cma.2004.06.034)". Computer Methods in Applied Mechanics and Engineering 195 9-12 (2006): 1277-1278. http://www.scopus.com/inward/record.url?eid=2-s2.0-28444459909&partnerID=MN8TOARS.
    10.1016/j.cma.2005.04.005
  162. Cottrell, J.A.; Reali, A.; Bazilevs, Y.; Hughes, T.J.R.. "Isogeometric analysis of structural vibrations". Computer Methods in Applied Mechanics and Engineering 195 41-43 (2006): 5257-5296. http://www.scopus.com/inward/record.url?eid=2-s2.0-33746838484&partnerID=MN8TOARS.
    10.1016/j.cma.2005.09.027
  163. Hughes, T.J.R.; Tinsley Oden, J.; Papadrakakis, M.. "Editorial". Computer Methods in Applied Mechanics and Engineering 195 37-40 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-33744898832&partnerID=MN8TOARS.
    10.1016/j.cma.2006.01.003
  164. Buffa, A.; Hughes, T.J.R.; Sangalli, G.. "Analysis of a multiscale discontinuous Galerkin method for convection-diffusion problems". SIAM Journal on Numerical Analysis 44 4 (2006): 1420-1440. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547960551&partnerID=MN8TOARS.
    10.1137/050640382
  165. Bazilevs, Y.; Calo, V.M.; Zhang, Y.; Hughes, T.J.R.. "Isogeometric fluid-structure interaction analysis with applications to arterial blood flow". Computational Mechanics 38 4-5 (2006): 310-322. http://www.scopus.com/inward/record.url?eid=2-s2.0-33745677813&partnerID=MN8TOARS.
    10.1007/s00466-006-0084-3
  166. Hughes, T.J.R.; Cottrell, J.A.; Bazilevs, Y.. "Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement". Computer Methods in Applied Mechanics and Engineering 194 39-41 (2005): 4135-4195. http://www.scopus.com/inward/record.url?eid=2-s2.0-21044443461&partnerID=MN8TOARS.
    10.1016/j.cma.2004.10.008
  167. Brezzi, F.; Hughes, T.J.R.; Marini, L.D.; Masud, A.. "Mixed discontinuous Galerkin methods for darcy flow". Journal of Scientific Computing 22-23 (2005): 119-145. http://www.scopus.com/inward/record.url?eid=2-s2.0-17444410335&partnerID=MN8TOARS.
    10.1007/s10915-004-4150-8
  168. Hughes, T.J.R.; Wells, G.N.. "Conservation properties for the Galerkin and stabilised forms of the advection-diffusion and incompressible Navier-Stokes equations". Computer Methods in Applied Mechanics and Engineering 194 9-11 (2005): 1141-1159. http://www.scopus.com/inward/record.url?eid=2-s2.0-12344290459&partnerID=MN8TOARS.
    10.1016/j.cma.2004.06.034
  169. Oberai, A.A.; Roknaldin, F.; Hughes, T.J.R.. "Computation of trailing-edge noise due to turbulent flow over an airfoil". Noise and Vibration Worldwide 35 6 (2004): 33-33. http://www.scopus.com/inward/record.url?eid=2-s2.0-4344664089&partnerID=MN8TOARS.
  170. Holmen, J.; Hughes, T.J.R.; Oberai, A.A.; Wells, G.N.. "Sensitivity of the scale partition for variational multiscale large-eddy simulation of channel flow". Physics of Fluids 16 3 (2004): 824-827. http://www.scopus.com/inward/record.url?eid=2-s2.0-1842865045&partnerID=MN8TOARS.
    10.1063/1.1644573
  171. Hughes, T.J.R.; Wells, G.N.; Wray, A.A.. "Energy transfers and spectral eddy viscosity in large-eddy simulations of homogeneous isotropic turbulence: Comparison of dynamic Smagorinsky and multiscale models over a range of discretizations". Physics of Fluids 16 11 (2004): 4044-4052. http://www.scopus.com/inward/record.url?eid=2-s2.0-8844233574&partnerID=MN8TOARS.
    10.1063/1.1789157
  172. Tezduyar, T.E.; Hughes, T.J.R.. "Journal of Applied Mechanics, Transactions ASME: Preface". Journal of Applied Mechanics, Transactions ASME 70 1 (2003): 1-1. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037233698&partnerID=MN8TOARS.
    10.1115/1.1530638
  173. Steele, B.N.; Wan, J.; Ku, J.P.; Hughes, T.J.R.; Taylor, C.A.. "In vivo validation of a one-dimensional finite-element method for predicting blood flow in cardiovascular bypass grafts". IEEE Transactions on Biomedical Engineering 50 6 (2003): 649-656. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037599301&partnerID=MN8TOARS.
    10.1109/TBME.2003.812201
  174. Tinsley Oden, J.; Belytschko, T.; Babuska, I.; Hughes, T.J.R.. "Research directions in computational mechanics". Computer Methods in Applied Mechanics and Engineering 192 7-8 (2003): 913-922. http://www.scopus.com/inward/record.url?eid=2-s2.0-0242684605&partnerID=MN8TOARS.
    10.1016/S0045-7825(02)00616-3
  175. Hughes, T.J.R.; Oberai, A.A.. "Calculation of shear stresses in the Fourier-Galerkin formulation of turbulent channel flows: Projection, the Dirichlet filter and conservation". Journal of Computational Physics 188 1 (2003): 281-295. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038008340&partnerID=MN8TOARS.
    10.1016/S0021-9991(03)00167-0
  176. Engel, G.; Garikipati, K.; Hughes, T.J.R.; Larson, M.G.; Mazzei, L.; Taylor, R.L.. "Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity". Computer Methods in Applied Mechanics and Engineering 191 34 (2002): 3669-3750. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037025251&partnerID=MN8TOARS.
    10.1016/S0045-7825(02)00286-4
  177. Draney, M.T.; Herfkens, R.J.; Hughes, T.J.R.; Pelc, N.J.; Wedding, K.L.; Zarins, C.K.; Taylor, C.A.. "Quantification of vessel wall cyclic strain using cine phase contrast magnetic resonance imaging". Annals of Biomedical Engineering 30 8 (2002): 1033-1045. http://www.scopus.com/inward/record.url?eid=2-s2.0-1842869922&partnerID=MN8TOARS.
    10.1114/1.1513566
  178. Oberai, A.A.; Roknaldin, F.; Hughes, T.J.R.. "Computation of trailing-edge noise due to turbulent flow over an airfoil". AIAA Journal 40 11 (2002): 2206-2216. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036849629&partnerID=MN8TOARS.
    10.2514/2.1582
  179. Masud, A.; Hughes, T.J.R.. "A stabilized mixed finite element method for Darcy flow". Computer Methods in Applied Mechanics and Engineering 191 39-40 (2002): 4341-4370. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037200458&partnerID=MN8TOARS.
    10.1016/S0045-7825(02)00371-7
  180. Wan, J.; Steele, B.; Spicer, S.A.; Strohband, S.; Feijóo, G.R.; Hughes, T.J.R.; Taylor, C.A.. "A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease". Computer Methods in Biomechanics and Biomedical Engineering 5 3 (2002): 195-206. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036597942&partnerID=MN8TOARS.
    10.1080/10255840290010670
  181. Brezzi, F.; Hughes, T.J.R.; Süli, E.; Magenes, D.S.E.. "Analisi numerica. -Variational approximation afflux in conforming finite element methods for elliptic partial differential equations: A model problem". Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni 12 3 (2001): 159-166. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035733751&partnerID=MN8TOARS.
  182. Hughes, T.J.R.; Oberai, A.A.; Mazzei, L.. "Large eddy simulation of turbulent channel flows by the variational multiscale method". Physics of Fluids 13 6 (2001): 1784-1799. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035367170&partnerID=MN8TOARS.
    10.1063/1.1367868
  183. Hughes, T.J.R.; Mazzei, L.; Oberai, A.A.; Wray, A.A.. "The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence". Physics of Fluids 13 2 (2001): 505-512. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035065963&partnerID=MN8TOARS.
    10.1063/1.1332391
  184. Rao, V.S.; Hughes, T.J.R.; Garikipati, K.. "On modelling thermal oxidation of silicon II: Numerical aspects". International Journal for Numerical Methods in Engineering 47 1-3 (2000): 359-377. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033897651&partnerID=MN8TOARS.
  185. Rifai, S.M.; Buell, J.C.; Johan, Z.; Hughes, T.J.R.. "Automotive design applications of fluid flow simulation on parallel computing platforms". Computer Methods in Applied Mechanics and Engineering 184 2-4 (2000): 449-466. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034647030&partnerID=MN8TOARS.
    10.1016/S0045-7825(99)00239-X
  186. Hughes, T.J.R.; Engel, G.; Mazzei, L.; Larson, M.G.. "The Continuous Galerkin Method Is Locally Conservative". Journal of Computational Physics 163 2 (2000): 467-488. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000132756&partnerID=MN8TOARS.
    10.1006/jcph.2000.6577
  187. Hughes, T.J.R.; Mazzei, L.; Jansen, K.E.. "Large Eddy Simulation and the variational multiscale method". Computing and Visualization in Science 3 1-2 (2000): 47-59. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001769879&partnerID=MN8TOARS.
    10.1007/s007910050051
  188. Rao, V.S.; Hughes, T.J.R.. "On modelling thermal oxidation of Silicon I: Theory". International Journal for Numerical Methods in Engineering 47 1-3 (2000): 341-358. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033881843&partnerID=MN8TOARS.
    10.1002/(SICI)1097-0207(20000110/30)47:1/3<341::AID-NME774>3.0.CO;2-Z
  189. Oberai, A.A.; Roknaldin, F.; Hughes, T.J.R.. "Computational procedures for determining structural-acoustic response due to hydrodynamic sources". Computer Methods in Applied Mechanics and Engineering 190 3-4 (2000): 345-361. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034287402&partnerID=MN8TOARS.
    10.1016/S0045-7825(00)00206-1
  190. Taylor, C.A.; Hughes, T.J.R.; Zarins, C.K.. "Effect of exercise on hemodynamic conditions in the abdominal aorta". Journal of Vascular Surgery 29 6 (1999): 1077-1089. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033051275&partnerID=MN8TOARS.
    10.1016/S0741-5214(99)70249-1
  191. Rifai, S.M.; Johan, Z.; Wang, W.-P.; Grisval, J.-P.; Hughes, T.J.R.; Ferencz, R.M.. "Multiphysics simulation of flow-induced vibrations and aeroelasticity on parallel computing platforms". Computer Methods in Applied Mechanics and Engineering 174 3-4 (1999): 393-417. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033602782&partnerID=MN8TOARS.
    10.1016/S0045-7825(98)00306-5
  192. Brezzi, F.; Hughes, T.J.R.; Marini, L.D.; Russo, A.; Süli, E.. "A priori error analysis of residual-free bubbles for advection-diffusion problems". SIAM Journal on Numerical Analysis 36 6 (1999): 1933-1948. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000522727&partnerID=MN8TOARS.
    10.1137/S0036142998342367
  193. Stewart, J.R.; Hughes, T.J.R.. "A tutorial in elementary finite element error analysis: A systematic presentation of a priori and a posteriori error estimates". Computer Methods in Applied Mechanics and Engineering 158 1-2 (1998): 1-22. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032072830&partnerID=MN8TOARS.
  194. Taylor, C.A.; Hughes, T.J.R.; Zarins, C.K.. "Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: Relevance to atherosclerosis". Annals of Biomedical Engineering 26 6 (1998): 975-987. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032199174&partnerID=MN8TOARS.
    10.1114/1.140
  195. Taylor, C.A.; Hughes, T.J.R.; Zarins, C.K.. "Finite element modeling of blood flow in arteries". Computer Methods in Applied Mechanics and Engineering 158 1-2 (1998): 155-196. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032565576&partnerID=MN8TOARS.
    10.1016/S0045-7825(98)80008-X
  196. Hughes, T.J.R.; Feijóo, G.R.; Mazzei, L.; Quincy, J.-B.. "The variational multiscale method - A paradigm for computational mechanics". Computer Methods in Applied Mechanics and Engineering 166 1-2 (1998): 3-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032203197&partnerID=MN8TOARS.
    10.1016/S0045-7825(98)00079-6
  197. Garikipati, K.; Hughes, T.J.R.. "A study of strain localization in a multiple scale framework - The one-dimensional problem". Computer Methods in Applied Mechanics and Engineering 159 3-4 (1998): 193-222. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032496865&partnerID=MN8TOARS.
    10.1016/S0045-7825(97)00271-5
  198. Oshima, M.; Hughes, T.J.R.; Jansen, K.. "Consistent finite element calculations of boundary and internal fluxes". International Journal of Computational Fluid Dynamics 9 3-4 (1998): 227-235. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032372213&partnerID=MN8TOARS.
    10.1080/10618569808940855
  199. Hauke, G.; Hughes, T.J.R.. "A comparative study of different sets of variables for solving compressible and incompressible flows". Computer Methods in Applied Mechanics and Engineering 153 1-2 (1998): 1-44. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031926098&partnerID=MN8TOARS.
    10.1016/S0045-7825(97)00043-1
  200. Stewart, J.R.; Hughes, T.J.R.. "An a posteriori error estimator and hp-adaptive strategy for finite element discretizations of the Helmholtz equation in exterior domains". Finite Elements in Analysis and Design 25 1-2 SPEC. (1997): 1-26. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031100781&partnerID=MN8TOARS.
  201. Eldredge, M.; Hughes, T.J.R.; Ferencz, R.M.; Rifai, S.M.; Raefsky, A.; Herndon, B.. "High-performance parallel computing in industry". Parallel Computing 23 9 (1997): 1217-1233. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031221517&partnerID=MN8TOARS.
    10.1016/S0167-8191(97)00049-5
  202. Brezzi, F.; Franca, L.P.; Hughes, T.J.R.; Russo, A.. "b = ¿ g". Computer Methods in Applied Mechanics and Engineering 145 3-4 (1997): 329-339. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031163368&partnerID=MN8TOARS.
    10.1016/S0045-7825(96)01221-2
  203. Stewart, J.R.; Hughes, T.J.R.. "h-Adaptive finite element computation of time-harmonic exterior acoustics problems in two dimensions". Computer Methods in Applied Mechanics and Engineering 146 1-2 (1997): 65-89. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031554592&partnerID=MN8TOARS.
    10.1016/S0045-7825(96)01225-X
  204. Masud, A.; Hughes, T.J.R.. "A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems". Computer Methods in Applied Mechanics and Engineering 146 1-2 (1997): 91-126. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031554613&partnerID=MN8TOARS.
    10.1016/S0045-7825(96)01222-4
  205. Stewart, J.R.; Hughes, T.J.R.. "A posteriori error estimation and adaptive finite element computation of the Helmholtz equation in exterior domains". Finite Elements in Analysis and Design 22 1 (1996): 15-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030149255&partnerID=MN8TOARS.
    10.1016/0168-874X(95)00058-2
  206. Hughes, T.J.R.; Stewart, J.R.. "A space-time formulation for multiscale phenomena". Journal of Computational and Applied Mathematics 74 1-2 (1996): 217-229. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030571234&partnerID=MN8TOARS.
    10.1016/0377-0427(96)00025-8
  207. Stewart, J.R.; Hughes, T.J.R.. "Explicit residual-based a posteriori error estimation for finite element discretizations of the Helmholtz equation: Computation of the constant and new measures of error estimator quality". Computer Methods in Applied Mechanics and Engineering 131 3-4 (1996): 335-363. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030149760&partnerID=MN8TOARS.
    10.1016/0045-7825(95)00953-1
  208. Harari, I.; Grosh, K.; Hughes, T.J.R.; Malhotra, M.; Pinsky, P.M.; Stewart, J.R.; Thompson, L.L.. "Recent developments in finite element methods for structural acoustics". Archives of Computational Methods in Engineering 3 2-3 (1996): 131-309. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000704326&partnerID=MN8TOARS.
    10.1007/BF03041209
  209. Hughes, T.J.R.. "Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods". Computer Methods in Applied Mechanics and Engineering 127 1-4 (1995): 387-401. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029405472&partnerID=MN8TOARS.
    10.1016/0045-7825(95)00844-9
  210. Johan, Z.; Mathur, K.K.; Johnsson, S.L.; Hughes, T.J.R.. "A case study in parallel computation: Viscous flow around an ONERA M6 wing". International Journal for Numerical Methods in Fluids 21 10 (1995): 877-884. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029111232&partnerID=MN8TOARS.
    10.1002/fld.1650211008
  211. Hughes, T.J.R.; Masud, A.; Harari, I.. "Dynamic analysis and drilling degrees of freedom". International Journal for Numerical Methods in Engineering 38 19 (1995): 3193-3210. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029394279&partnerID=MN8TOARS.
    10.1002/nme.1620381902
  212. Hughes, T.J.R.; Masud, A.; Harari, I.. "Numerical assessment of some membrane elements with drilling degrees of freedom". Computers and Structures 55 2 (1995): 297-314. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029287699&partnerID=MN8TOARS.
    10.1016/0045-7949(94)00438-9
  213. Tezduyar, T.E.; Kawahara, M.; Hughes, T.J.R.. "Preface". International Journal for Numerical Methods in Fluids 21 10 (1995): iii-iii. http://www.scopus.com/inward/record.url?eid=2-s2.0-84984487297&partnerID=MN8TOARS.
    10.1002/fld.1650211002
  214. Tezduyar, T.E.; Mutsuto, K.; Hughes, T.J.R.. "Preface". Computer Methods in Applied Mechanics and Engineering 112 1-4 (1994): 1-1. http://www.scopus.com/inward/record.url?eid=2-s2.0-43949148557&partnerID=MN8TOARS.
    10.1016/0045-7825(94)90015-9
  215. Johan, Z.; Mathur, K.K.; Johnsson, S.L.; Hughes, T.J.R.. "An efficient communications strategy for finite element methods on the Connection Machine CM-5 system". Computer Methods in Applied Mechanics and Engineering 113 3-4 (1994): 363-387. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028391926&partnerID=MN8TOARS.
    10.1016/0045-7825(94)90054-X
  216. Hauke, G.; Hughes, T.J.R.. "A unified approach to compressible and incompressible flows". Computer Methods in Applied Mechanics and Engineering 113 3-4 (1994): 389-395. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028389044&partnerID=MN8TOARS.
    10.1016/0045-7825(94)90055-8
  217. Chalot, F.; Hughes, T.J.R.. "A consistent equilibrium chemistry algorithm for hypersonic flows". Computer Methods in Applied Mechanics and Engineering 112 1-4 (1994): 25-40. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028381687&partnerID=MN8TOARS.
    10.1016/0045-7825(94)90017-5
  218. Droux, J.-J.; Hughes, T.J.R.. "A boundary integral modification of the Galerkin least squares formulation for the Stokes problem". Computer Methods in Applied Mechanics and Engineering 113 1-2 (1994): 173-182. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028384960&partnerID=MN8TOARS.
    10.1016/0045-7825(94)90217-8
  219. Harari, I.; Hughes, T.J.R.. "Stabilized finite element methods for steady advection-diffusion with production". Computer Methods in Applied Mechanics and Engineering 115 1-2 C (1994): 165-191. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028431239&partnerID=MN8TOARS.
    10.1016/0045-7825(94)90193-7
  220. Harari, I.; Hughes, T.J.R.. "Studies of domain-based formulations for computing exterior problems of acoustics". International Journal for Numerical Methods in Engineering 37 17 (1994): 2935-2950. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028499154&partnerID=MN8TOARS.
    10.1002/nme.1620371706
  221. Johan, Z.; Mathur, K.K.; Johnsson, S.L.; Hughes, T.J.R.. "Scalability of finite element applications on distributed-memory parallel computers". Computer Methods in Applied Mechanics and Engineering 119 1-2 (1994): 61-72. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028534256&partnerID=MN8TOARS.
    10.1016/0045-7825(94)00076-X
  222. Hughes, T.J.R.; Jansen, K.. "Finite element methods in wind engineering". Journal of Wind Engineering and Industrial Aerodynamics 46-47 C (1993): 297-313. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027643276&partnerID=MN8TOARS.
    10.1016/0167-6105(93)90296-Z
  223. Hughes, T.J.R.. "Discussions of numerical methods. Finite Element Methods in Wind Engineering". Journal of Wind Engineering and Industrial Aerodynamics 46-47 C (1993): 401-405. http://www.scopus.com/inward/record.url?eid=2-s2.0-50749133097&partnerID=MN8TOARS.
    10.1016/0167-6105(93)90306-9
  224. Jansen, K.; Johan, Z.; Hughes, T.J.R.. "Implementation of a one-equation turbulence model within a stabilized finite element formulation of a symmetric advective-diffusive system". Computer Methods in Applied Mechanics and Engineering 105 3 (1993): 405-433. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027609167&partnerID=MN8TOARS.
    10.1016/0045-7825(93)90066-7
  225. Franca, L.P.; Hughes, T.J.R.. "Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations". Computer Methods in Applied Mechanics and Engineering 105 2 (1993): 285-298. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027611385&partnerID=MN8TOARS.
    10.1016/0045-7825(93)90126-I
  226. Harari, I.; Hughes, T.J.R.. "Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains". Computer Methods in Applied Mechanics and Engineering 98 3 (1992): 411-454. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000288806&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90006-6
  227. Harari, I.; Hughes, T.J.R.. "What are C and h?: Inequalities for the analysis and design of finite element methods". Computer Methods in Applied Mechanics and Engineering 97 2 (1992): 157-192. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026872324&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90162-D
  228. Simo, J.C.; Fox, D.D.; Hughes, T.J.R.. "Formulations of finite elasticity with independent rotations". Computer Methods in Applied Mechanics and Engineering 95 2 (1992): 277-288. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026834721&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90144-9
  229. Barbosa, H.J.C.; Hughes, T.J.R.. "Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities". Computer Methods in Applied Mechanics and Engineering 97 2 (1992): 193-210. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026876283&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90163-E
  230. Harari, I.; Hughes, T.J.R.. "Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains". Computer Methods in Applied Mechanics and Engineering 97 1 (1992): 103-124. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026862372&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90109-W
  231. Johan, Z.; Hughes, T.J.R.; Mathur, K.K.; Johnsson, S.L.. "A data parallel finite element method for computational fluid dynamics on the Connection Machine system". Computer Methods in Applied Mechanics and Engineering 99 1 (1992): 113-134. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026910144&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90124-3
  232. Franca, L.P.; Frey, S.L.; Hughes, T.J.R.. "Stabilized finite element methods: I. Application to the advective-diffusive model". Computer Methods in Applied Mechanics and Engineering 95 2 (1992): 253-276. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026835579&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90143-8
  233. Takashi, N.; Hughes, T.J.R.. "An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body". Computer Methods in Applied Mechanics and Engineering 95 1 (1992): 115-138. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026813302&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90085-X
  234. Harari, I.; Hughes, T.J.R.. "A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics". Computer Methods in Applied Mechanics and Engineering 97 1 (1992): 77-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026863111&partnerID=MN8TOARS.
    10.1016/0045-7825(92)90108-V
  235. Barbosa, H.J.C.; Hughes, T.J.R.. "Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms". Numerische Mathematik 62 1 (1992): 1-15. http://www.scopus.com/inward/record.url?eid=2-s2.0-0002423829&partnerID=MN8TOARS.
    10.1007/BF01396217
  236. Shakib, F.; Hughes, T.J.R.; Johan, Z.. "A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations". Computer Methods in Applied Mechanics and Engineering 89 1-3 (1991): 141-219. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026206734&partnerID=MN8TOARS.
    10.1016/0045-7825(91)90041-4
  237. Harari, I.; Hughes, T.J.R.. "Finite element methods for the helmholtz equation in an exterior domain: Model problems". Computer Methods in Applied Mechanics and Engineering 87 1 (1991): 59-96. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026153971&partnerID=MN8TOARS.
    10.1016/0045-7825(91)90146-W
  238. Shakib, F.; Hughes, T.J.R.. "A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms". Computer Methods in Applied Mechanics and Engineering 87 1 (1991): 35-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026155973&partnerID=MN8TOARS.
    10.1016/0045-7825(91)90145-V
  239. Johan, Z.; Hughes, T.J.R.. "A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids". Computer Methods in Applied Mechanics and Engineering 87 2-3 (1991): 281-304. http://www.scopus.com/inward/record.url?eid=2-s2.0-0026169824&partnerID=MN8TOARS.
    10.1016/0045-7825(91)90009-U
  240. Barbosa, H.J.C.; Hughes, T.J.R.. "The finite element method with Lagrange multipliers on the boundary: circumventing the Babuška-Brezzi condition". Computer Methods in Applied Mechanics and Engineering 85 1 (1991): 109-128. http://www.scopus.com/inward/record.url?eid=2-s2.0-0025886026&partnerID=MN8TOARS.
    10.1016/0045-7825(91)90125-P
  241. Hughes, T.J.R.; Tucker, A.. "Structural acoustics and fluid-structure interaction". Applied Mechanics Reviews 43 5 (1990): S353-S353. http://www.scopus.com/inward/record.url?eid=2-s2.0-85024642423&partnerID=MN8TOARS.
    10.1115/1.3120839
  242. Harari, I.; Hughes, T.J.R.. "Design and analysis of finite element methods for the helmholtz equation in exterior domains". Applied Mechanics Reviews 43 5 (1990): S366-S373. http://www.scopus.com/inward/record.url?eid=2-s2.0-85006760530&partnerID=MN8TOARS.
    10.1115/1.3120842
  243. Chalot, F.; Hughes, T.J.R.; Shakib, F.. "Symmetrization of conservation laws with entropy for high-temperature hypersonic computations". Computing Systems in Engineering 1 2-4 (1990): 495-521. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001328952&partnerID=MN8TOARS.
    10.1016/0956-0521(90)90032-G
  244. Hulbert, G.M.; Hughes, T.J.R.. "Space-time finite element methods for second-order hyperbolic equations". Computer Methods in Applied Mechanics and Engineering 84 3 (1990): 327-348. http://www.scopus.com/inward/record.url?eid=2-s2.0-0025693468&partnerID=MN8TOARS.
    10.1016/0045-7825(90)90082-W
  245. Hughes, T.J.R.. "Letter to the editor". International Journal for Numerical Methods in Engineering 28 6 (1989): 1485-1485. http://www.scopus.com/inward/record.url?eid=2-s2.0-84986938791&partnerID=MN8TOARS.
    10.1002/nme.1620280621
  246. Miranda, I.; Ferencz, R.M.; Hughes, T.J.R.. "An improved implicit-explicit time integration method for structural dynamics". Earthquake Engineering & Structural Dynamics 18 5 (1989): 643-653. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024475957&partnerID=MN8TOARS.
    10.1002/eqe.4290180505
  247. Loula, A.F.D.; Miranda, I.; Hughes, T.J.R.; Franca, L.P.. "On mixed finite element methods for axisymmetric shell analysis". Computer Methods in Applied Mechanics and Engineering 72 2 (1989): 201-231. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024607329&partnerID=MN8TOARS.
    10.1016/0045-7825(89)90161-8
  248. Hoff, C.; Hughes, T.J.R.; Hulbert, G.; Pahl, P.J.. "Extended comparison of the Hilber-Hughes-Taylor a-method and the T1-method". Computer Methods in Applied Mechanics and Engineering 76 1 (1989): 87-93. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024770393&partnerID=MN8TOARS.
    10.1016/0045-7825(89)90142-4
  249. Hughes, T.J.R.; Franca, L.P.; Hulbert, G.M.. "A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations". Computer Methods in Applied Mechanics and Engineering 73 2 (1989): 173-189. http://www.scopus.com/inward/record.url?eid=2-s2.0-45149144830&partnerID=MN8TOARS.
    10.1016/0045-7825(89)90111-4
  250. Shakib, F.; Hughes, T.J.R.; Johan, Z.. "A multi-element group preconditioned GMRES algorithm for nonsymmetric systems arising in finite element analysis". Computer Methods in Applied Mechanics and Engineering 75 1-3 (1989): 415-456. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024752479&partnerID=MN8TOARS.
    10.1016/0045-7825(89)90040-6
  251. Hughes, T.J.R.; Brezzi, F.. "On drilling degrees of freedom". Computer Methods in Applied Mechanics and Engineering 72 1 (1989): 105-121. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024304211&partnerID=MN8TOARS.
    10.1016/0045-7825(89)90124-2
  252. Hughes, T.J.R.. "New directions in computational mechanics". Nuclear Engineering and Design 114 2 (1989): 197-210. http://www.scopus.com/inward/record.url?eid=2-s2.0-38249023695&partnerID=MN8TOARS.
    10.1016/0029-5493(89)90191-X
  253. Franca, L.P.; Hughes, T.J.R.; Loula, A.F.D.; Miranda, I.. "A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation". Numerische Mathematik 53 1-2 (1988): 123-141. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000281608&partnerID=MN8TOARS.
    10.1007/BF01395881
  254. Hughes, Thomas J.R.; Franca, Leopoldo P.. "CONVERGENCE OF TRANSVERSE SHEAR STRESSES IN THE FINITE ELEMENT ANALYSIS OF PLATES.". Communications in Applied Numerical Methods 4 2 (1988): 185-187. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023978648&partnerID=MN8TOARS.
    10.1002/cnm.1630040208
  255. Hughes, T.J.R.; Hulbert, G.M.. "Space-time finite element methods for elastodynamics: Formulations and error estimates". Computer Methods in Applied Mechanics and Engineering 66 3 (1988): 339-363. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023960856&partnerID=MN8TOARS.
    10.1016/0045-7825(88)90006-0
  256. Franca, L.P.; Hughes, T.J.R.. "Two classes of mixed finite element methods". Computer Methods in Applied Mechanics and Engineering 69 1 (1988): 89-129. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024047885&partnerID=MN8TOARS.
    10.1016/0045-7825(88)90168-5
  257. Hughes, T.J.R.; Franca, L.P.. "A mixed finite element formulation for Reissner-mindlin plate theory: Uniform convergence of all higher-order spaces". Computer Methods in Applied Mechanics and Engineering 67 2 (1988): 223-240. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023978526&partnerID=MN8TOARS.
    10.1016/0045-7825(88)90127-2
  258. Loula, A.F.D.; Hughes, T.J.R.; Franca, L.P.. "Petrov-Galerkin formulations of the Timoshenko beam problem". Computer Methods in Applied Mechanics and Engineering 63 2 (1987): 115-132. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023384709&partnerID=MN8TOARS.
    10.1016/0045-7825(87)90167-8
  259. Loula, A.F.D.; Franca, L.P.; Hughes, T.J.R.; Miranda, I.. "Stability, convergence and accuracy of a new finite element method for the circular arch problem". Computer Methods in Applied Mechanics and Engineering 63 3 (1987): 281-303. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023387435&partnerID=MN8TOARS.
    10.1016/0045-7825(87)90074-0
  260. Loula, A.F.D.; Hughes, T.J.R.; Franca, L.P.; Miranda, I.. "Mixed Petrov-Galerkin methods for the Timoshenko beam problem". Computer Methods in Applied Mechanics and Engineering 63 2 (1987): 133-154. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023382437&partnerID=MN8TOARS.
    10.1016/0045-7825(87)90168-X
  261. Hughes, T.J.R.; Belytschko, T.; Liu, W.K.. "Convergence of an element-partitioned subcycling algorithm for the semi-discrete heat equation". Numerical Methods for Partial Differential Equations 3 2 (1987): 131-137. http://www.scopus.com/inward/record.url?eid=2-s2.0-84985385958&partnerID=MN8TOARS.
    10.1002/num.1690030205
  262. Hulbert, G.M.; Hughes, T.J.R.. "An error analysis of truncated starting conditions in step-by-step time integration: Consequences for structural dynamics". Earthquake Engineering & Structural Dynamics 15 7 (1987): 901-910. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023434424&partnerID=MN8TOARS.
    10.1002/eqe.4290150710
  263. Hughes, T.J.R.. "Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations". International Journal for Numerical Methods in Fluids 7 11 (1987): 1261-1275. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023525478&partnerID=MN8TOARS.
    10.1002/fld.1650071108
  264. Hughes, T.J.R.; Franca, L.P.; Mallet, M.. "A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems". Computer Methods in Applied Mechanics and Engineering 63 1 (1987): 97-112. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023366684&partnerID=MN8TOARS.
    10.1016/0045-7825(87)90125-3
  265. Hughes, T.J.R.; Ferencz, R.M.; Hallquist, J.O.. "Large-scale vectorized implicit calculations in solid mechanics on a Cray X-MP/48 utilizing EBE preconditioned conjugate gradients". Computer Methods in Applied Mechanics and Engineering 61 2 (1987): 215-248. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023314898&partnerID=MN8TOARS.
    10.1016/0045-7825(87)90005-3
  266. Hughes, T.J.R.; Franca, L.P.. "A new finite element formulation for computational fluid dynamics: VII. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces". Computer Methods in Applied Mechanics and Engineering 65 1 (1987): 85-96. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023450642&partnerID=MN8TOARS.
    10.1016/0045-7825(87)90184-8
  267. Hughes, T.J.R.; Mallet, M.. "A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems". Computer Methods in Applied Mechanics and Engineering 58 3 (1986): 329-336. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022811673&partnerID=MN8TOARS.
    10.1016/0045-7825(86)90153-2
  268. Hughes, T.J.R.; Mallet, M.. "A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems". Computer Methods in Applied Mechanics and Engineering 58 3 (1986): 305-328. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022807116&partnerID=MN8TOARS.
    10.1016/0045-7825(86)90152-0
  269. Simo, J.C.; Hughes, T.J.R.. "On the variational foundations of assumed strain methods". Journal of Applied Mechanics, Transactions ASME 53 1 (1986): 51-54. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022676227&partnerID=MN8TOARS.
    10.1115/1.3171737
  270. Hughes, T.J.R.; Franca, L.P.; Balestra, M.. "A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations". Computer Methods in Applied Mechanics and Engineering 59 1 (1986): 85-99. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022810283&partnerID=MN8TOARS.
    10.1016/0045-7825(86)90025-3
  271. Hughes, T.J.R.; Franca, L.P.; Mallet, M.. "A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics". Computer Methods in Applied Mechanics and Engineering 54 2 (1986): 223-234. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022663140&partnerID=MN8TOARS.
    10.1016/0045-7825(86)90127-1
  272. Hughes, T.J.R.; Mallet, M.; Akira, M.. "A new finite element formulation for computational fluid dynamics: II. Beyond SUPG". Computer Methods in Applied Mechanics and Engineering 54 3 (1986): 341-355. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022681271&partnerID=MN8TOARS.
    10.1016/0045-7825(86)90110-6
  273. Hughes, T.J.R.; Shakib, F.. "Pseudo-corner theory: A simple enhancement of J2-flow theory for applications involving non-proportional loading". Engineering Computations 3 2 (1986): 116-120. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022738367&partnerID=MN8TOARS.
    10.1108/eb023649
  274. Winget, J.M.; Hughes, T.J.R.. "Solution algorithms for nonlinear transient heat conduction analysis employing element-by-element iterative strategies". Computer Methods in Applied Mechanics and Engineering 52 1-3 (1985): 711-815. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000253769&partnerID=MN8TOARS.
    10.1016/0045-7825(85)90015-5
  275. Mizukami, A.; Hughes, T.J.R.. "A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle". Computer Methods in Applied Mechanics and Engineering 50 2 (1985): 181-193. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022108140&partnerID=MN8TOARS.
    10.1016/0045-7825(85)90089-1
  276. Tessler, A.; Hughes, T.J.R.. "A three-node mindlin plate element with improved transverse shear". Computer Methods in Applied Mechanics and Engineering 50 1 (1985): 71-101. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022097749&partnerID=MN8TOARS.
    10.1016/0045-7825(85)90114-8
  277. Hughes, T.J.R.; Tezduyar, T.E.. "Analysis of some fully-discrete algorithms for the one-dimensional heat equation". International Journal for Numerical Methods in Engineering 21 1 (1985): 163-168. http://www.scopus.com/inward/record.url?eid=2-s2.0-0021788044&partnerID=MN8TOARS.
    10.1002/nme.1620210113
  278. Hughes, T.J.R.. "Discussion of a numerical study of localized deformation in bi-crystals". Mechanics of Materials 4 3-4 (1985): 437-438. http://www.scopus.com/inward/record.url?eid=2-s2.0-46549092744&partnerID=MN8TOARS.
    10.1016/0167-6636(85)90038-9
  279. Hughes, T.J.R.; Tezduyar, T.E.. "Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations". Computer Methods in Applied Mechanics and Engineering 45 1-3 (1984): 217-284. http://www.scopus.com/inward/record.url?eid=2-s2.0-0021497923&partnerID=MN8TOARS.
    10.1016/0045-7825(84)90157-9
  280. Hughes, T.J.R.; Tezduyar, T.E.. "Stability and accuracy analysis of some fully-discrete algorithms for the one-dimensional second-order wave equation". Computers and Structures 19 4 (1984): 665-668. http://www.scopus.com/inward/record.url?eid=2-s2.0-0021605503&partnerID=MN8TOARS.
    10.1016/0045-7949(84)90113-5
  281. Hughes, T.J.R.. "Preface". Computer Methods in Applied Mechanics and Engineering 45 1-3 (1984): 1-2. http://www.scopus.com/inward/record.url?eid=2-s2.0-48549111350&partnerID=MN8TOARS.
    10.1016/0045-7825(84)90149-X
  282. Tessler, A.; Hughes, T.J.R.. "An improved treatment of transverse shear in the mindlin-type four-node quadrilateral element". Computer Methods in Applied Mechanics and Engineering 39 3 (1983): 311-335. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020822125&partnerID=MN8TOARS.
    10.1016/0045-7825(83)90096-8
  283. Hughes, T.J.R.; Levit, I.; Winget, J.. "An element-by-element solution algorithm for problems of structural and solid mechanics". Computer Methods in Applied Mechanics and Engineering 36 2 (1983): 241-254. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020704341&partnerID=MN8TOARS.
    10.1016/0045-7825(83)90115-9
  284. Carnoy, E.G.; Hughes, T.J.R.. "Finite element analysis of the secondary buckling of a flat plate under uniaxial compression". International Journal of Non-Linear Mechanics 18 2 (1983): 167-175. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020550044&partnerID=MN8TOARS.
    10.1016/0020-7462(83)90043-4
  285. Hughes, T.J.R.; Levit, I.; Winget, J.. "Element-by-element implicit algorithms for heat conduction". Journal of Engineering Mechanics 109 2 (1983): 576-585. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020736972&partnerID=MN8TOARS.
    10.1061/(ASCE)0733-9399(1983)109:2(576)
  286. Hughes, T.J.R.; Belytschko, T.. "A précis of developments in computational methods for transient analysis". Journal of Applied Mechanics, Transactions ASME 50 4 (1983): 1033-1041. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020949934&partnerID=MN8TOARS.
    10.1115/1.3167186
  287. Hughes, T.J.R.; Carnoy, E.. "Nonlinear finite element shell formulation accounting for large membrane strains". Computer Methods in Applied Mechanics and Engineering 39 1 (1983): 69-82. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020777087&partnerID=MN8TOARS.
    10.1016/0045-7825(83)90074-9
  288. Brooks, A.N.; Hughes, T.J.R.. "Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations". Computer Methods in Applied Mechanics and Engineering 32 1-3 (1982): 199-259. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019607241&partnerID=MN8TOARS.
    10.1016/0045-7825(82)90071-8
  289. Winget, J.M.; Hughes, T.J.R.. "A profile solver for specially structured symmetric-unsymmetric equation systems". Advances in Engineering Software (1978) 4 2 (1982): 64-67. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020112656&partnerID=MN8TOARS.
    10.1016/S0141-1195(82)80055-7
  290. Hughes, T.J.R.; Tezduyar, T.E.. "Finite elements based upon mindlin plate theory with particular reference to the four-node bilinear isoparametric element". Journal of Applied Mechanics, Transactions ASME 48 3 (1981): 587-596. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019610759&partnerID=MN8TOARS.
    10.1115/1.3157679
  291. Prevost, Jean H.; Cuny, Bernard; Hughes, Thomas J.R.. "OFFSHORE GRAVITY STRUCTURES: ANALYSIS". Journal of the Geotechnical Engineering Division 107 2 (1981): 143-165. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019526687&partnerID=MN8TOARS.
  292. Prevost, J.H.; Hughes, T.J.R.. "FINITE-ELEMENT SOLUTION OF ELASTIC-PLASTIC BOUNDARY-VALUE PROBLEMS.". American Society of Mechanical Engineers (Paper) 81 -APM-17 (1981): http://www.scopus.com/inward/record.url?eid=2-s2.0-85069361983&partnerID=MN8TOARS.
  293. Hughes, T.J.R.; Stephenson, R.A.. "Convergence of implicit-explicit algorithms in nonlinear transient analysis". International Journal of Engineering Science 19 2 (1981): 295-302. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019398522&partnerID=MN8TOARS.
    10.1016/0020-7225(81)90030-6
  294. Kanok-Nukulchai, W.; Taylor, R.L.; Hughes, T.J.R.. "A large deformation formulation for shell analysis by the finite element method". Computers and Structures 13 1-3 (1981): 19-27. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019282791&partnerID=MN8TOARS.
    10.1016/0045-7949(81)90105-X
  295. Prevost, J.H.; Hughes, T.J.R.. "Finite-element solution of elastic-plastic boundary-value problems". Journal of Applied Mechanics, Transactions ASME 48 1 (1981): 69-74. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019546489&partnerID=MN8TOARS.
    10.1115/1.3157594
  296. Hughes, T.J.R.; Liu, W.K.. "Nonlinear finite element analysis of shells: Part I. three-dimensional shells". Computer Methods in Applied Mechanics and Engineering 26 3 (1981): 331-362. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019574991&partnerID=MN8TOARS.
    10.1016/0045-7825(81)90121-3
  297. Hughes, T.J.R.; Liu, W.K.; Zimmermann, T.K.. "Lagrangian-Eulerian finite element formulation for incompressible viscous flows". Computer Methods in Applied Mechanics and Engineering 29 3 (1981): 329-349. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019718251&partnerID=MN8TOARS.
    10.1016/0045-7825(81)90049-9
  298. Hughes, T.J.R.; Liu, W.K.. "Nonlinear finite element analysis of shells-part II. two-dimensional shells". Computer Methods in Applied Mechanics and Engineering 27 2 (1981): 167-181. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019584313&partnerID=MN8TOARS.
    10.1016/0045-7825(81)90148-1
  299. Brooks, A.; Hughes, T.J.R.. "Streamline-upwind/Petrov-Galerkin methods for advection dominated flows.". IN: PROC. 3RD INT. CONF. ON FINITE ELEMENTS IN FLOW PROBLEMS, , D.H. NORRIE (ED.) 2 , Calgar (Banff, Ca (1980): 283-292. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018933654&partnerID=MN8TOARS.
  300. Hughes, T.J.R.. "Recent developments in computer methods for structural analysis". Nuclear Engineering and Design 57 2 (1980): 427-439. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018465335&partnerID=MN8TOARS.
    10.1016/0029-5493(80)90116-8
  301. Hughes, Thomas J.R.. "SOME CURRENT TRENDS IN FINITE ELEMENT RESEARCH.". Applied Mechanics Reviews 33 11 (1980): 1467-1477. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019080167&partnerID=MN8TOARS.
  302. Hughes, T.J.R.. "Generalization of selective integration procedures to anisotropic and nonlinear media". International Journal for Numerical Methods in Engineering 15 9 (1980): 1413-1418. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019057349&partnerID=MN8TOARS.
    10.1002/nme.1620150914
  303. Hughes, T.J.R.; Winget, J.. "Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis". International Journal for Numerical Methods in Engineering 15 12 (1980): 1862-1867. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019229765&partnerID=MN8TOARS.
    10.1002/nme.1620151210
  304. Prevost, Jean H.; Hughes, Thomas J.R.; Cohen, Martin F.. "ANALYSIS OF GRAVITY OFFSHORE STRUCTURE FOUNDATIONS.". JPT, Journal of Petroleum Technology 32 2 (1980): 199-209. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018986110&partnerID=MN8TOARS.
    10.2118/7239-PA
  305. Hughes, T.J.R.. "Letter to the editor". Computers and Structures 12 5 (1980): 775-775. http://www.scopus.com/inward/record.url?eid=2-s2.0-84985309174&partnerID=MN8TOARS.
    10.1016/0045-7949(80)90180-7
  306. Hughes, T.J.R.; Akin, J.E.. "Techniques for developing ‘special’ finite element shape functions with particular reference to singularities". International Journal for Numerical Methods in Engineering 15 5 (1980): 733-751. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019017734&partnerID=MN8TOARS.
    10.1002/nme.1620150509
  307. Hughes, T.J.R.. "Finite Element Methods for Convection Dominated Flows, ASME Winter Annual Meeting, held at New York, U.S.A. on December 2-7, 1979.". NEW YORK, U.S.A., AM. SOC. MECH. ENGRS., 1979 34 ). (1979): http://www.scopus.com/inward/record.url?eid=2-s2.0-0018314534&partnerID=MN8TOARS.
  308. Hughes, Thomas J.R.; Cohen, Martin. "¿HETEROSIS¿ FAMILY OF PLATE FINITE ELEMENTS.". Marine Geology (1979): 608-617. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018731608&partnerID=MN8TOARS.
  309. Hughes, T.J.R.; Pister, K.S.; Taylor, R.L.. "Implicit-explicit finite elements in nonlinear transient analysis". Computer Methods in Applied Mechanics and Engineering 17-18 PART 1 (1979): 159-182. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017831112&partnerID=MN8TOARS.
    10.1016/0045-7825(79)90086-0
  310. Hughes, T.J.R.; Liu, W.K.; Brooks, A.. "Finite element analysis of incompressible viscous flows by the penalty function formulation". Journal of Computational Physics 30 1 (1979): 1-60. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018329975&partnerID=MN8TOARS.
    10.1016/0021-9991(79)90086-X
  311. Hughes, T.J.R.; Pister, K.S.. "Consistent linearization in mechanics of solids and structures". Computers and Structures 8 3-4 (1978): 391-397. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017968994&partnerID=MN8TOARS.
    10.1016/0045-7949(78)90183-9
  312. Hughes, T.J.R.; Cohen, M.. "The "heterosis" finite element for plate bending". Computers and Structures 9 5 (1978): 445-450. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018038554&partnerID=MN8TOARS.
    10.1016/0045-7949(78)90041-X
  313. Prevost, Jean H.; Hughes, Thomas J.R.. "MATHEMATICAL MODELING OF CYCLIC SOIL BEHAVIOR.". v 2 (1978): 746-761. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018156051&partnerID=MN8TOARS.
  314. Chorin, A.J.; Hughes, T.J.R.; McCracken, M.F.; Marsden, J.E.. "Product formulas and numerical algorithms". Communications on Pure and Applied Mathematics 31 2 (1978): 205-256. http://www.scopus.com/inward/record.url?eid=2-s2.0-84980184883&partnerID=MN8TOARS.
    10.1002/cpa.3160310205
  315. Hughes, T.J.R.; Cohen, M.; Haroun, M.. "Reduced and selective integration techniques in the finite element analysis of plates". Nuclear Engineering and Design 46 1 (1978): 203-222. http://www.scopus.com/inward/record.url?eid=2-s2.0-43349096144&partnerID=MN8TOARS.
    10.1016/0029-5493(78)90184-X
  316. Hughes, T.J.R.; Marsden, J.E.. "Classical elastodynamics as a linear symmetric hyperbolic system". Journal of Elasticity 8 1 (1978): 97-110. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017909099&partnerID=MN8TOARS.
    10.1007/BF00044512
  317. Hughes, T.J.R.; Taylor, R.L.. "Unconditionally stable algorithms for quasi-static elasto/visco-plastic finite element analysis". Computers and Structures 8 2 (1978): 169-173. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001107641&partnerID=MN8TOARS.
    10.1016/0045-7949(78)90019-6
  318. Hughes, T.J.R.; Liu, W.K.. "IMPLICIT-EXPLICIT FINITE ELEMENTS IN TRANSIENT ANALYSIS: IMPLEMENTATION AND NUMERICAL EXAMPLES.". Journal of Applied Mechanics, Transactions ASME 45 2 (1978): 375-378. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017982090&partnerID=MN8TOARS.
    10.1115/1.3424305
  319. Prevost, J.H.; Hughes, J.R.. "Analysis of gravity offshore structure foundations subjected to cyclic wave loading.". IN: PROC. 1978 OFFSHORE TECHNOLOGY CONF., (HOUSTON, U.S.A. : MAY 8-10, 1978) 3 , Dallas (1978): 1809-1818. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017890750&partnerID=MN8TOARS.
  320. Hilber, H.M.; Hughes, T.J.R.. "Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics". Earthquake Engineering & Structural Dynamics 6 1 (1978): 99-117. http://www.scopus.com/inward/record.url?eid=2-s2.0-84952130600&partnerID=MN8TOARS.
    10.1002/eqe.4290060111
  321. Hughes, T.J.R.; Liu, W.K.. "IMPLICIT-EXPLICIT FINITE ELEMENTS IN TRANSIENT ANALYSIS: STABILITY THEORY.". Journal of Applied Mechanics, Transactions ASME 45 2 (1978): 371-374. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017983276&partnerID=MN8TOARS.
    10.1115/1.3424304
  322. Malkus, D.S.; Hughes, T.J.R.. "Mixed finite element methods - Reduced and selective integration techniques: A unification of concepts". Computer Methods in Applied Mechanics and Engineering 15 1 (1978): 63-81. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017984529&partnerID=MN8TOARS.
    10.1016/0045-7825(78)90005-1
  323. Hughes, T.J.R.; Caughey, T.K.; Liu, W.K.. "FINITE-ELEMENT METHODS FOR NONLINEAR ELASTODYNAMICS WHICH CONSERVE ENERGY.". Journal of Applied Mechanics, Transactions ASME 45 2 (1978): 366-370. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017983297&partnerID=MN8TOARS.
    10.1115/1.3424303
  324. Hughes, T.J.R.. "A simple scheme for developing ‘upwind’ finite elements". International Journal for Numerical Methods in Engineering 12 9 (1978): 1359-1365. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018056277&partnerID=MN8TOARS.
    10.1002/nme.1620120904
  325. Hughes, T.J.R.. "Unconditionally stable algorithms for nonlinear heat conduction". Computer Methods in Applied Mechanics and Engineering 10 2 (1977): 135-139. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001644519&partnerID=MN8TOARS.
    10.1016/0045-7825(77)90001-9
  326. Hilber, H.M.; Hughes, T.J.R.; Taylor, R.L.. "Improved numerical dissipation for time integration algorithms in structural dynamics". Earthquake Engineering & Structural Dynamics 5 3 (1977): 283-292. http://www.scopus.com/inward/record.url?eid=2-s2.0-84985759019&partnerID=MN8TOARS.
    10.1002/eqe.4290050306
  327. Hughes, T.J.R.. "Equivalence of finite elements for nearly incompressible elasticity". Journal of Applied Mechanics, Transactions ASME 44 1 (1977): 181-183. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017466347&partnerID=MN8TOARS.
    10.1115/1.3423994
  328. Hughes, T.J.R.. "A note on the stability of Newmark's algorithm in nonlinear structural dynamics". International Journal for Numerical Methods in Engineering 11 2 (1977): 383-386. http://www.scopus.com/inward/record.url?eid=2-s2.0-84985409648&partnerID=MN8TOARS.
    10.1002/nme.1620110212
  329. Hughes, T.J.R.; Marsden, J.E.. "Some applications of geometry is continuum mechanics". Reports on Mathematical Physics 12 1 (1977): 35-44. http://www.scopus.com/inward/record.url?eid=2-s2.0-33745445899&partnerID=MN8TOARS.
    10.1016/0034-4877(77)90044-1
  330. Hughes, T.J.R.; Kato, T.; Marsden, J.E.. "Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity". Archive for Rational Mechanics and Analysis 63 3 (1977): 273-294. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017428498&partnerID=MN8TOARS.
    10.1007/BF00251584
  331. Hughes, T.J.R.; Taylor, R.L.; Kanoknukulchai, W.. "A simple and efficient finite element for plate bending". International Journal for Numerical Methods in Engineering 11 10 (1977): 1529-1543. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017737295&partnerID=MN8TOARS.
    10.1002/nme.1620111005
  332. Hughes, T.J.R.. "Stability, convergence and growth and decay of energy of the average acceleration method in nonlinear structural dynamics". Computers and Structures 6 4-5 (1976): 313-324. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016991814&partnerID=MN8TOARS.
    10.1016/0045-7949(76)90007-9
  333. Hughes, T.J.R.; Taylor, R.L.; Sackman, J.L.; Curnier, A.; Kanoknukulchai, W.. "A finite element method for a class of contact-impact problems". Computer Methods in Applied Mechanics and Engineering 8 3 (1976): 249-276. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016983076&partnerID=MN8TOARS.
    10.1016/0045-7825(76)90018-9
  334. Hughes, T.J.R.. "Reduction scheme for some structural eigenvalue problems by a variational theorem". International Journal for Numerical Methods in Engineering 10 4 (1976): 845-852. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016880743&partnerID=MN8TOARS.
    10.1002/nme.1620100411
  335. Hughes, Thomas J.R.; Taylor, Robert L.; Kanoknukulchai, Worsak. "NUMERICAL PREDICTION OF HEAD/HELMET SYSTEM RESPONSE.". (1976): 151-165. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017217684&partnerID=MN8TOARS.
  336. Hughes, T.J.R.; Hilber, H.M.; Taylor, R.L.. "A reduction scheme for problems of structural dynamics". International Journal of Solids and Structures 12 11 (1976): 749-767. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017240733&partnerID=MN8TOARS.
    10.1016/0020-7683(76)90040-8
  337. Hughes, T.J.R.; Taylor, R.L.; Curnier, A.; Kanoknukulchai, W.. "FINITE ELEMENT FORMULATION AND SOLUTION OF A CLASS OF CONTACT-IMPACT PROBLEMS IN CONTINUUM MECHANICS.". (1975): http://www.scopus.com/inward/record.url?eid=2-s2.0-85069368262&partnerID=MN8TOARS.
  338. Hughes, T.J.R.; Lubliner, J.. "On the one-dimensional theory of blood flow in the larger vessels". Mathematical Biosciences 18 1-2 (1973): 161-170. http://www.scopus.com/inward/record.url?eid=2-s2.0-0015819837&partnerID=MN8TOARS.
    10.1016/0025-5564(73)90027-8
  339. Allik, H.; Hughes, T.J.R.. "Finite element method for piezoelectric vibration". International Journal for Numerical Methods in Engineering 2 2 (1970): 151-157. http://www.scopus.com/inward/record.url?eid=2-s2.0-0014767052&partnerID=MN8TOARS.
    10.1002/nme.1620020202

Intellectual property

Patent
  1. Thomas J. R. Hughes. 2001. "Method for Predictive Modeling for Planning Medical Interventions and Simulating Physiological Conditions". United States.

Other

Other output
  1. Analysis-suitable unstructured T-splines: Multiple extraordinary points per face. 2021. Wei, X.; Li, X.; Qian, K.; Hughes, T.J.R.; Zhang, Y.J.; Casquero, H.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85104044009&partnerID=MN8TOARS.
  2. A comparison of matrix-free isogeometric galerkin and collocation methods for karhunen–loève expansion. 2021. Mika, M.L.; Hiemstra, R.R.; Hughes, T.J.R.; Schillinger, D.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85101228891&partnerID=MN8TOARS.
  3. Quantitative in vivo imaging to enable tumor forecasting and treatment optimization. 2021. Lorenzo, G.; Hormuth, D.A.; Jarrett, A.M.; Lima, E.A.B.F.; Subramanian, S.; Biros, G.; Oden, J.T.; Hughes, T.J.R.; Yankeelov, T.E.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85102549199&partnerID=MN8TOARS.
  4. A matrix-free isogeometric Galerkin method for karhunen-loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. 2020. Mika, M.L.; Hughes, T.J.R.; Schillinger, D.; Wriggers, P.; Hiemstra, R.R.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098870985&partnerID=MN8TOARS.
  5. The quad layout immersion: A mathematically equivalent representation of a surface quadrilateral layout. 2020. Shepherd, K.M.; Hiemstra, R.R.; Hughes, T.J.R.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85100365146&partnerID=MN8TOARS.
  6. A tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties. 2020. Hiemstra, R.R.; Hughes, T.J.R.; Manni, C.; Speleers, H.; Toshniwal, D.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094695236&partnerID=MN8TOARS.
  7. The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics. 2020. Casquero, H.; Bona-Casas, C.; Toshniwal, D.; Hughes, T.J.R.; Gomez, H.; Zhang, Y.J.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094745809&partnerID=MN8TOARS.
  8. Tuned hybrid non-uniform subdivision surfaces with optimal convergence rates. 2020. Wei, X.; Li, X.; Zhang, Y.J.; Hughes, T.J.R.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094342475&partnerID=MN8TOARS.
  9. Simulating the spread of covid-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (seird) model with heterogeneous diffusion. 2020. Viguerie, A.; Lorenzo, G.; Auricchio, F.; Baroli, D.; Hughes, T.J.R.; Patton, A.; Reali, A.; Yankeelov, T.E.; Veneziani, A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095104019&partnerID=MN8TOARS.
  10. Polynomial spline spaces of non-uniform bi-degree on T-meshes: Combinatorial bounds on the dimension. 2019. Toshniwal, D.; Mourrain, B.; Hughes, T.J.R.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095201612&partnerID=MN8TOARS.
  11. An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. 2019. Paul, K.; Zimmermann, C.; Mandadapu, K.K.; Hughes, T.J.R.; Landis, C.M.; Sauer, R.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094290687&partnerID=MN8TOARS.
  12. An isogeometric finite element formulation for phase transitions on deforming surfaces. 2017. Zimmermann, C.; Toshniwal, D.; Landis, C.M.; Hughes, T.J.R.; Mandadapu, K.K.; Sauer, R.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093575115&partnerID=MN8TOARS.
  13. Variational multiscale approach to strain localization - formulation for multidimensional problems. 2000. Garikipati, K.; Hughes, T.J.R.. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034226528&partnerID=MN8TOARS.
    10.1016/S0045-7825(99)00156-5
  14. Revolution fueled by fast computers. 1990. Hughes, Thomas J.R.; Hatt, Fritz. http://www.scopus.com/inward/record.url?eid=2-s2.0-0025702753&partnerID=MN8TOARS.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2020 Since 2002, TJRH has been author/coauthor of more than 580 oral presentations and presenting author of more than 120 keynote, plenary, and semiplenary lectures at international conferences, renowed institutions and major scientific events in the field of computational mechanics worldwide.

Association member

Society Organization name Role
2020 - Current U.S. National Academy of Sciences
2020 - Current U.S. National Academy of Engineering
2020 - Current American Academy of Arts and Sciences
2020 - Current The Academy of Medicine, Engineering and Science of Texas (TAMEST)
2020 - Current Royal Society of London Foreign Member
2020 - Current Austrian Academy of Sciences Foreign Member
2020 - Current Istituto Lombardo Accademie di Scienze e Lettere (Mathematics Section) Foreign member
2020 - Current International Association for Computational Mechanics (IACM) Fellow
2020 - Current American Society of Mechanical Engineers (ASME) Fellow
2020 - Current American Society of Civil Engineers (ASCE) Fellow & Distinguished member
2020 - Current American Institute of Aeronautics and Astronautics (AIAA) Fellow
2020 - Current American Academy of Mechanics (AAM) Fellow
2020 - Current American Association for the Advancement of Science (AAAS) Fellow
2020 - Current Society for Industrial and Applied Mathematics (SIAM) Fellow
2020 - Current United States Association for Computational Mechanics (USACM) Fellow
2020 - Current Engineering Mechanics Research Institute (ASCE) Fellow
2020 - Current New York Academy of Sciences
2020 - Current American Mathematics Society (AMS)
2020 - Current Society of Engineering Science (SES)
2020 - Current Association for Structural Mechanics in Reactor Technology (IASMiRT)

Committee member

Activity description
Role
Institution / Organization
2021 - Current TJRH has served as member, chairman or president in 49 committees of major governmental agencies/panels, scientific societies, and renowned institutions worldwide.

Conference scientific committee

Conference name Conference host
2020 - Current Since 2002, TJRH has participated in the organization of >160 conferences and scientific events worldwide.

Consulting

Activity description Institution / Organization
2020 - Current TJRH has provided consulting services to more than 41 companies and research centres worldwide, including ANSYS (US), General Motors (US), Sandia National Laboratory (US), Hutchinson (France), ZACE Services (Switzerland), and Hitachi-Zosen Shipbuilding and Engineering (Japan).

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2020 - Current Since 2002, TJRH has been lecturer in more than 30 short courses and workshops at renowned institutions and scientific events worldwide

Journal scientific committee

Journal title (ISSN) Publisher
2020 - Current Computer Methods in Applied Mechanics and Engineering (0045-7825) Elsevier
2020 - Current Encyclopedia of Computational Mechanics
2020 - Current Journal of Visualization (1875-8975) Springer-Verlag
2020 - Current International Journal for Multiscale Computational Engineering (1543-1649) Begell House Inc.
2020 - Current International Journal of Computational Methods
2020 - Current Numerische Mathematik (0945-3245) Springer-Verlag
2020 - Current International Journal for Numerical Methods in Engineering (1097-0207) Wiley (John Wiley & Sons)
2020 - Current International Journal for Numerical Methods in Fluids (1097-0363) Wiley (John Wiley & Sons)
2020 - Current Future Generation Computer Systems (0167-739X) Elsevier
2020 - Current Engineering Computations (0264-4401) Emerald (MCB UP )
2020 - Current Numerical Methods for Partial Differential Equations (1098-2426) Wiley (John Wiley & Sons)
2020 - Current Archives on Computational Methods in Engineering
2020 - Current Theory and Engineering Applications of Computational Methods
2020 - Current Computers & Structures (0045-7949) Elsevier
2020 - Current International Journal of Computational and Numerical Analysis and Applications
2020 - Current International Journal of Biomechanics and Modeling in Mechanobiology
2020 - Current Engineering With Computers (1435-5663) Springer-Verlag
2020 - Current International Journal of Computational Vision and Biomechanics
2020 - Current Computational Mechanics (1432-0924) Springer-Verlag
2020 - Current Interaction and Multiscale Mechanics: an International Journal
2020 - Current Mathematical Models and Methods in Applied Sciences (0218-2025) World Scientific
2020 - Current Journal of the Serbian Society for Computational Mechanics (2620-1941) "Faculty of Engineering, University of Kragujevac"
2020 - Current Mechanics Research Communications (0093-6413) Elsevier
2020 - Current CIMNE-Springer Series on Lecture Notes in Numerical Methods in Engineering and Science
2020 - Current International Journal for Numerical Methods in Biomedical Engineering (2040-7947) Wiley (John Wiley & Sons)
2020 - Current Computing and Visualization in Science (1433-0369) Springer-Verlag
2020 - Current Lecture Notes in Computational Vision and Biomechanics
2020 - Current Advanced Modelling and Simulation in Engineering Sciences
2020 - Current Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization
2020 - Current Modeling and Simulation in Science
2020 - Current Engineering and Technology book series
2020 - Current Strojnícky casopis - Journal of Mechanical Engineering (2450-5471) Walter de Gruyter GmbH
2020 - Current Proceedings of the National Academy of Sciences (1091-6490) Proceedings of the National Academy of Sciences
Distinctions

Award

2020 A.C. Eringen Medal
Society for Engineering Science, United States
2020 Oden Institute Moncrief Grand Challenge Faculty Award
The University of Texas at Austin Oden Institute for Computational Engineering and Sciences, United States
2019 O.C. Zienkiewicz Medal
Polish Association for Computational Mechanics , Poland
2019 Highly Cited Researcher
Clarivate Analytics Inc, United States
2018 ASME Medal
The American Society of Mechanical Engineers, United States
2018 Highly Cited Researcher
Clarivate Analytics Inc, United States
2018 Alumni Achievement Award
Pratt Institute, United States
2017 SIAM/ACM Prize in Computational Science and Engineering
Society for Industrial and Applied Mathematics, United States
2017 Southeastern Universities Research Association (SURA) Distinguished Scientist Award
Southeastern Universities Research Association, United States
2017 Highly Cited Researcher
Clarivate Analytics Inc, United States
2016 University Co-op Career Research Excellence Award
University of Texas at Austin, United States
2016 Thompson-Reuters Highly Cited Researcher
Clarivate Analytics Inc, United States
2016 Slovak University of Technology Medal
Slovenská technická univerzita v Bratislave, Slovakia
2015 International Scientific Career Award
Asociación Argentina de Mecánica Computacional, Argentina
2015 Distinguished Membership
American Society of Civil Engineers, United States
2015 Billy and Claude R. Hocott Distinguished Centennial Engineering Research Award
University of Texas at Austin, United States
2015 Thompson-Reuters Highly Cited Researcher
Clarivate Analytics Inc, United States
2014 Computational Mechanics Award
Japanese Association for Computational Mechanics , Japan
2014 Wilhelm Exner Medal
Öesterreichischer Gewerbeverein, Austria
2014 Thompson-Reuters Highly Cited Researcher
Clarivate Analytics Inc, United States
2011 Joe J. King Professional Engineering Achievement Award
University of Texas at Austin, United States
2009 Theodore von Karman Medal
American Society of Civil Engineers, United States
2009 Alexander von Humboldt Research Award for Senior Scientists
Alexander von Humboldt-Stiftung, Germany
2009 Most Cited Author Award
Elsevier GmbH, Germany
2008 JSCES Grand Prize
The Japan Society for Computational Engineering and Science, Japan
2007 Timoshenko Medal
The American Society of Mechanical Engineers, United States
2003 ISI Highly Cited Researcher
Clarivate Analytics Inc, United States
2001 ISI Highly Cited Researcher
Clarivate Analytics Inc, United States
1998 Worcester Reed Warner Medal
The American Society of Mechanical Engineers, United States
1998 Gauss-Newton Medal
International Association of Computational Mechanics, Spain
1997 Von Neumann Medal
Unites States Association for Computational Mechanics, United States
1997 Dean’s Award for Academic Accomplishment
Stanford University Department of Mechanical Engineering, United States
1993 Computational Mechanics Award
The Japan Society of Mechanical Engineers, Japan
1979 Melville Medal
The American Society of Mechanical Engineers, United States
1978 Walter L. Huber Civil Engineering Research Prize
American Society of Civil Engineers, United States
1975 Bernard Friedman Memorial Prize in Applied Mathematics
University of California Berkeley, United States

Title

2013 Doctorate Honoris Causa
Universidade da Coruña, Spain
2010 Honorary Doctorate
Northwestern University , United States
2009 Doctorate honoris causa
Norwegian University of Science and Technology, Norway
2007 Doctorate honoris causa
Università degli Studi di Pavia, Italy
2007 Doctorate honoris causa
Università degli Studi di Padova, Italy
2003 Doctorate honoris causa
Université Catholique de Louvain, Belgium
2000 Eshbach Professorship
Northwestern University - Eshbach Professorship , United States
1999 Cattedra Galileiana
Scuola Normale Superiore, Italy