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Pedro Ricardo Simão Antunes. I did undergraduate studies in Applied Mathematics and Computation (in 2003), MSc in Applied Mathematics (in 2005) and PhD in Mathematics (in 2008) both at Instituto Superior Técnico - University of Lisbon. After completing the PhD I was a senior technician at National Institute of Statistics (2008-2009) and I held a post-doctoral position at Group of Mathematical Physics (2009-2013). In the period 2014-2018 I held a Research position "Investigador FCT" at Faculty of Sciences - University of Lisbon. I was an assistant professor at Universidade Aberta from 2019 to 2022 and I am an associate professor at Instituto Superior Técnico - University of Lisbon since 2022. I am a member of the Group of Mathematical Physics since 2009. My main scientific interests are: numerical analysis, shape optimization, meshless methods, spectral theory, acoustics and numerical methods for fractional differential equations.
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Identification

Personal identification

Full name
Pedro Ricardo Simão Antunes

Citation names

  • Antunes, Pedro R. S.

Author identifiers

Ciência ID
6710-138C-A69D
ORCID iD
0000-0003-1969-1860
Google Scholar ID
bw5FXYAAAAJ&hl
Researcher Id
M-2406-2015
Scopus Author Id
55346859100

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
French Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2008
Concluded
 PHD in Mathematics (Doutoramento)
Universidade de Lisboa, Portugal
"The Method of Fundamental Solutions Applied to Eigenproblems in Partial Differential Equations" (THESIS/DISSERTATION)
 5/5
2005
Concluded
 MSC in Applied Mathematics (Mestrado)
Universidade de Lisboa, Portugal
"Cálculo Numérico de Frequências de Ressonância e Modos de Vibração Recorrendo ao Método das Soluções Fundamentais" (THESIS/DISSERTATION)
 5/5
2003
Concluded
 Licenciatura em Matemática Aplicada e Computação (Licenciatura)
Universidade de Lisboa, Portugal
"O Método das Soluções Fundamentais Aplicado ao Cálculo de Frequências de Ressonância e Modos de Vibração" (THESIS/DISSERTATION)
 15
Affiliation

Science

Category
Host institution 		Employer
2014/01/01 - 2018/12/31 Contracted Researcher (Research) Universidade de Lisboa Grupo de Física Matemática, Portugal
2014/01/01 - 2018/12/31 Contracted Researcher (Research) Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
2009/07/01 - 2013/12/31 Postdoc (Research) Universidade de Lisboa Grupo de Física Matemática, Portugal

Teaching in Higher Education

Category
Host institution 		Employer
2022/05/01 - Current Associate Professor (University Teacher) Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
2022/05/01 - 2022/09/30 Invited Associate Professor (University Teacher) Universidade Aberta, Portugal
2019/08/14 - 2022/04/30 Assistant Professor (University Teacher) Universidade Aberta, Portugal
2017/09/01 - 2019/08/13 Invited Assistant Professor (University Teacher) Universidade Aberta, Portugal
2017/09/01 - 2018/02/28 Invited Assistant Professor (University Teacher) Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
2011/09/01 - 2013/12/31 Assistant Professor (University Teacher) Universidade Lusófona de Humanidades e Tecnologias, Portugal
2011/02/01 - 2011/09/30 Invited Assistant (Polytechnic Teacher) Instituto Politécnico de Tomar Escola Superior de Tecnologia de Tomar, Portugal
2007/10/01 - 2008/03/31 Invited Assistant (Polytechnic Teacher) Instituto Politécnico de Leiria Escola Superior de Tecnologia e Gestão, Portugal
2003/03/01 - 2007/03/31 Tutor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal
Projects

Contract

Designation Funders
2019/09/01 - Current Mathematical models for interacting dynamics on networks
COST Action 18232 (2019-2022)
Researcher
2019/01/01 - Current Numerical shape optimization
Prémio UL/CGD
Principal investigator
Universidade de Lisboa Grupo de Física Matemática, Portugal
Ongoing
2014/01/01 - 2018/12/31 Shape Optimization in Higher Dimensions
IF/00177/2013
Principal investigator
Universidade de Lisboa Grupo de Física Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2015/01/01 - 2018/01/01 Extremal spectral quantities and related problems
PTDC/MAT-CAL/4334/2014
Researcher
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2009/01/01 - 2012/01/01 Eigenvalues of the Laplacian: analytic, geometric and computational aspects
PTDC/MAT/101007/2008
Researcher
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
2009/01/01 - 2012/01/01 Analysis and Numerical Methods for Direct and Inverse Problems in Mathematical Mechanics
PTDC/MAT/105475/2008
Fundação para a Ciência e a Tecnologia, Portugal
 Universidade de Lisboa Instituto Superior Técnico
2010/01/01 - 2011/06/30 Shape Optimization of Eigenvalues in Partial Differential Equations
Estímulo à Investigação
Principal investigator
Universidade de Lisboa Grupo de Física Matemática, Portugal
 Fundação Calouste Gulbenkian
Concluded
2007/01/01 - 2010/01/01 Mathematical Physics
PTDC/MAT/69635/2006
Researcher
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2005/01/01 - 2007/01/01 Inverse Problems and Meshless Methods in Partial Differential Equations
POCTI/MAT/60863/2004
Researcher
Universidade de Lisboa Instituto Superior Técnico, Portugal
 Fundação para a Ciência e a Tecnologia
Outputs

Publications

Book chapter
  1. Antunes, Pedro R. S.; Oudet, E.. "Numerical optimization of Laplacian eigenvalues". In Shape optimization and spectral theory. De Gruyter Publishers, 2017.
    Published • 10.1515/9783110550887
  2. Antunes, Pedro R. S.; Henrot, A.. "On the range of the first two Dirichlet eigenvalues of the Laplacian with volume and perimeter constraint". In Publ. RIMS, Kyoto University, 66-78. Kyoto, Japan, 2013.
    Published
  3. Alves, Carlos J.S.; Antunes, Pedro R.S.. "NUMERICAL DETERMINATION OF THE RESONANCE FREQUENCIES AND EIGENMODES USING THE MFS". In Computational Methods, 1385-1389. Springer Netherlands, 2006.
    10.1007/978-1-4020-3953-9_58
Journal article
  1. Antunes, Pedro R. S.; Alves, Carlos J. S.. Corresponding author: Antunes, Pedro R. S.. "Wave scattering problems in exterior domains with the method of fundamental solutions". Numerische Mathematik (2024):
    Accepted
  2. Pedro R. S. Antunes. "A well-conditioned method of fundamental solutions for Laplace equation". Numerical Algorithms (2022): https://doi.org/10.1007/s11075-022-01306-x.
    10.1007/s11075-022-01306-x
  3. Antunes, Pedro R. S.; Bogosel, Beniamin. "Parametric shape optimization using the support function". Computational Optimization and Applications 82 1 (2022): 107-138. http://dx.doi.org/10.1007/s10589-022-00360-4.
    10.1007/s10589-022-00360-4
  4. Antunes, Pedro R. S.; da Costa, Fernando P.; Pinto, Joao T.; Sasportes, Rafael. "Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients". Journal of Dynamics and Differential Equations (2022): https://publons.com/wos-op/publon/59582484/.
    10.1007/S10884-022-10213-7
  5. Pedro R.S. Antunes. "Numerical calculation of extremal Steklov eigenvalues in 3D and 4D". Computers & Mathematics with Applications 104 (2021): 50-58. https://doi.org/10.1016/j.camwa.2021.11.008.
    10.1016/j.camwa.2021.11.008
  6. Antunes, Pedro R. S.. "A Variational Formulation for Dirac Operators in Bounded Domains. Applications to Spectral Geometric Inequalities". Communications in Mathematical Physics 386 2 (2021): 781-818. http://dx.doi.org/10.1007/s00220-021-03959-6.
    10.1007/s00220-021-03959-6
  7. Krejcirík, D.; Antunes, P.R.S.. "Bound states in semi-Dirac semi-metals". Physics Letters, Section A: General, Atomic and Solid State Physics 386 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85095432131&partnerID=MN8TOARS.
    10.1016/j.physleta.2020.126991
  8. Carlos J.S. Alves; Pedro R.S. Antunes; Nuno F.M. Martins; Svilen S. Valtchev. "Solving boundary value problems on manifolds with a plane waves method". Applied Mathematics Letters (2020): https://doi.org/10.1016/j.aml.2020.106426.
    10.1016/j.aml.2020.106426
  9. Antunes, Pedro. "Extremal p-Laplacian eigenvalues". Nonlinearity (2019): http://dx.doi.org/10.1088/1361-6544/ab47c5.
    10.1088/1361-6544/ab47c5
  10. Carlos J.S. Alves; Pedro R.S. Antunes. "Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions". Engineering Analysis with Boundary Elements 101 (2019): 330-342. https://doi.org/10.1016/j.enganabound.2019.01.014.
    10.1016/j.enganabound.2019.01.014
  11. Antunes, P.R.S.; Buoso, D.; Freitas, P.. "On the behavior of clamped plates under large compression". SIAM Journal on Applied Mathematics 79 5 (2019): 1872-1891. http://www.scopus.com/inward/record.url?eid=2-s2.0-85073621337&partnerID=MN8TOARS.
    10.1137/19M1249606
  12. Carlos J.S. Alves; Pedro R.S. Antunes. "The method of fundamental solutions applied to boundary value problems on the surface of a sphere". Computers & Mathematics with Applications 75 7 (2018): 2365-2373. https://doi.org/10.1016/j.camwa.2017.12.015.
    10.1016/j.camwa.2017.12.015
  13. Antunes, P.R.S.; Mohammadi, S.A.; Voss, H.. "A nonlinear eigenvalue optimization problem: Optimal potential functions". Nonlinear Analysis: Real World Applications 40 (2018): 307-327. http://www.scopus.com/inward/record.url?eid=2-s2.0-85031014227&partnerID=MN8TOARS.
    10.1016/j.nonrwa.2017.09.003
  14. Antunes, P.R.S.. "Reducing the ill conditioning in the method of fundamental solutions". Advances in Computational Mathematics 44 1 (2018): 351-365. http://www.scopus.com/inward/record.url?eid=2-s2.0-85026811318&partnerID=MN8TOARS.
    10.1007/s10444-017-9548-6
  15. Antunes, P.R.S.. "A numerical algorithm to reduce ill-conditioning in meshless methods for the Helmholtz equation". Numerical Algorithms (2018): 1-19. http://www.scopus.com/inward/record.url?eid=2-s2.0-85040864223&partnerID=MN8TOARS.
    10.1007/s11075-017-0465-z
  16. Antunes, P.R.S.; Gazzola, F.. "Some solutions of minimaxmax problems for the torsional displacements of rectangular plates". ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 98 11 (2018): 1974-1991. http://www.scopus.com/inward/record.url?eid=2-s2.0-85052911710&partnerID=MN8TOARS.
    10.1002/zamm.201800065
  17. Antunes, P.R.S.. "Harmonic configurations of non-homogeneous membranes". Acta Acustica united with Acustica 103 4 (2017): 596-606. http://www.scopus.com/inward/record.url?eid=2-s2.0-85023741191&partnerID=MN8TOARS.
    10.3813/AAA.919088
  18. Antunes, P.R.S.. "Is it possible to tune a drum?". Journal of Computational Physics 338 (2017): 91-106. http://www.scopus.com/inward/record.url?eid=2-s2.0-85015065437&partnerID=MN8TOARS.
    10.1016/j.jcp.2017.02.056
  19. Antunes, P.R.S.; Freitas, P.; Krejcirík, D.. "Bounds and extremal domains for Robin eigenvalues with negative boundary parameter". Advances in Calculus of Variations 10 4 (2017): 357-379. http://www.scopus.com/inward/record.url?eid=2-s2.0-85030701011&partnerID=MN8TOARS.
    10.1515/acv-2015-0045
  20. Antunes, P.R.S.; Barbarosie, C.; Toader, A.-M.. "Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes". Journal of Computational Physics 333 (2017): 352-368. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008384541&partnerID=MN8TOARS.
    10.1016/j.jcp.2016.12.044
  21. Antunes, P.R.S.; Ferreira, R.A.C.. "Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives". Communications in Nonlinear Science and Numerical Simulation 48 (2017): 398-413. http://www.scopus.com/inward/record.url?eid=2-s2.0-85009385392&partnerID=MN8TOARS.
    10.1016/j.cnsns.2017.01.017
  22. Antunes, P.R.S.; Oudet, E.. "Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries". SIAM Journal on Scientific Computing 39 3 (2017): B508-B521. http://www.scopus.com/inward/record.url?eid=2-s2.0-85021837639&partnerID=MN8TOARS.
    10.1137/16M1083773
  23. Antunes, P.R.S.. "Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain". Inverse Problems 32 11 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-85009197941&partnerID=MN8TOARS.
    10.1088/0266-5611/32/11/115003
  24. Antunes, P.R.S.; Freitas, P.. "Optimisation of Eigenvalues of the Dirichlet Laplacian with a Surface Area Restriction". Applied Mathematics and Optimization 73 2 (2016): 313-328. http://www.scopus.com/inward/record.url?eid=2-s2.0-84961116938&partnerID=MN8TOARS.
    10.1007/s00245-015-9304-6
  25. Masoero, D.; Raimondo, A.; Antunes, P.R.S.. "Critical behavior for scalar nonlinear waves". Physica D: Nonlinear Phenomena 292-293 (2015): 1-7. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911496144&partnerID=MN8TOARS.
    10.1016/j.physd.2014.09.007
  26. Antunes, P.R.S.; Ferreira, R.A.C.. "An augmented-RBF method for solving fractional Sturm-Liouville eigenvalue problems". SIAM Journal on Scientific Computing 37 1 (2015): A515-A535. http://www.scopus.com/inward/record.url?eid=2-s2.0-84923876081&partnerID=MN8TOARS.
    10.1137/140954209
  27. Antunes, R.S.. "Optimal bilaplacian eigenvalues". SIAM Journal on Control and Optimization 52 4 (2014): 2250-2260. http://www.scopus.com/inward/record.url?eid=2-s2.0-84906819117&partnerID=MN8TOARS.
    10.1137/130948860
  28. Simão Antunes, P.R.; Gazzola, F.. "Convex shape optimization for the least biharmonic Steklov eigenvalue". ESAIM - Control, Optimisation and Calculus of Variations 19 2 (2013): 385-403. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876560392&partnerID=MN8TOARS.
    10.1051/cocv/2012014
  29. Antunes, P.R.S.; Freitas, P.. "Optimal spectral rectangles and lattice ellipses". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469 2150 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84872328168&partnerID=MN8TOARS.
    10.1098/rspa.2012.0492
  30. Alves, C.J.S.; Antunes, P.R.S.. "The method of fundamental solutions applied to some inverse eigenproblems". SIAM Journal on Scientific Computing 35 3 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84884933343&partnerID=MN8TOARS.
    10.1137/110860380
  31. Simão Antunes, P.R.; Freitas, P.; Kennedy, J.B.. "Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian". ESAIM - Control, Optimisation and Calculus of Variations 19 2 (2013): 438-459. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876514722&partnerID=MN8TOARS.
    10.1051/cocv/2012016
  32. Antunes, P.R.S.. "Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues". Applied Mathematics and Computation 219 9 (2013): 4239-4254. http://www.scopus.com/inward/record.url?eid=2-s2.0-84871201999&partnerID=MN8TOARS.
    10.1016/j.amc.2012.10.095
  33. Antunes, P.R.S.; Freitas, P.. "Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians". Journal of Optimization Theory and Applications 154 1 (2012): 235-257. http://www.scopus.com/inward/record.url?eid=2-s2.0-84862581900&partnerID=MN8TOARS.
    10.1007/s10957-011-9983-3
  34. Antunes, P.R.S.; Freitas, P.. "On the role of spectral markers and stability in spine models". Journal of the Mechanical Behavior of Biomedical Materials 14 (2012): 19-28. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865826663&partnerID=MN8TOARS.
    10.1016/j.jmbbm.2012.04.006
  35. Antunes, P.R.S.. "Numerical calculation of eigensolutions of 3D shapes using the method of fundamental solutions". Numerical Methods for Partial Differential Equations 27 6 (2011): 1525-1550. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052932420&partnerID=MN8TOARS.
    10.1002/num.20594
  36. Antunes, P.R.S.. "On the buckling eigenvalue problem". Journal of Physics A: Mathematical and Theoretical 44 21 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-79955802575&partnerID=MN8TOARS.
    10.1088/1751-8113/44/21/215205
  37. Antunes, P.R.S.; Henrot, A.. "On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467 2130 (2011): 1577-1603. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958254301&partnerID=MN8TOARS.
    10.1098/rspa.2010.0444
  38. Antunes, P.R.S.; Freitas, P.. "On the inverse spectral problem for Euclidean triangles". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467 2130 (2011): 1546-1562. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958266814&partnerID=MN8TOARS.
    10.1098/rspa.2010.0540
  39. Antunes, P.R.S.; Valtchev, S.S.. "A meshfree numerical method for acoustic wave propagation problems in planar domains with corners and cracks". Journal of Computational and Applied Mathematics 234 9 (2010): 2646-2662. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955270651&partnerID=MN8TOARS.
    10.1016/j.cam.2010.01.031
  40. Alves, C.J.S.; Antunes, P.R.S.. "The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates". International Journal for Numerical Methods in Engineering 77 2 (2009): 177-194. http://www.scopus.com/inward/record.url?eid=2-s2.0-60949084048&partnerID=MN8TOARS.
    10.1002/nme.2404
  41. Antunes, P.; Freitas, P.. "A numerical study of the spectral gap". Journal of Physics A: Mathematical and Theoretical 41 5 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-43049124451&partnerID=MN8TOARS.
    10.1088/1751-8113/41/5/055201
  42. Antunes, P.; Freitas, P.. "New bounds for the principal dirichlet eigenvalue of planar regions". Experimental Mathematics 15 3 (2006): 333-342. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750852719&partnerID=MN8TOARS.
  43. Alves, C.J.S.; Antunes, P.R.S.. "The method of fundamental solutions applied to the calculation of eigenfrequencies and eigenmodes of 2D simply connected shapes". Computers, Materials and Continua 2 4 (2005): 251-265. http://www.scopus.com/inward/record.url?eid=2-s2.0-27644564179&partnerID=MN8TOARS.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/09/04 A well-conditioned Method of Fundamental Solutions for Laplace equation The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), Lisbon.
2022/07/18 Numerical calculation of extremal Steklov eigenvalues in 3D and 4D AMS-EMS-SMF Joint International Meeting 2022, Grenoble.
2020/02/26 An overview of the application of the method of fundamental solutions for solving boundary value problems COST Meeting - Zagreb.
2019/08/25 A numerical algorithm to reduce the ill conditioning in meshless methods for the Helmholtz equation Waves - 14th International conference on mathematical and numerical aspects of wave propagation, Vienna, Austria.
2019/07/29 Reducing the ill conditioning in the Method of Fundamental Solutions and Plane Waves Method Trefftz/MFS - Lisbon.
2018/07/07 Is it possible to tune a drum? The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications - Taipei, Taiwan.
2017/12/06 Is it possible to tune a drum? Topics in Applied Analysis and Optimisation - Lisbon.
2017/07/04 Reducing the ill conditioning in the method of fundamental solutions Trefftz/MFS - Poznan, Poland.
2016/06/19 Is it possible to tune a drum? 5th International Conference on Engineering Optimization - Iguassu Falls, Brazil.
2016/06/13 Tunning the membrane of a drum Congress EuroRegio 2016 (9¿ Iberian Congress on Acoustics, Porto.
2015/08/10 Extremal p-Laplacian eigenvalues Workshop on Eigenvalues of Partial Differential Operators and their Applications - 8th Congress on Industrial and Applied Mathematics - Beijing, China.
2015/03/22 Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain Laplacians and Heat Kernels: Theory and Applications - Banff International Research Station - Alberta, Canada.
2014/10/02 Numerical solution of the magnetic Laplacian eigenvalue problem using radial basis functions NumAn 2014 - Chania, Greece.
2013/07/08 Numerical shape optimization of four-dimensional geometries SIAM Annual Meeting 2013, San Diego, USA.
2012/10/27 Numerical shape optimization using the method of fundamental solutions Sectional Meeting of the American Mathematical Society, Tucson, USA.
2012/07/12 Optimal Bilaplacian eigenvalues SIAM Annual Meeting 2012, Minneapolis, USA.
2008/06/25 Determinação das frequências de ressonância de uma membrana National Meeting of Portuguese Mathematical Society - Thematic Session of Numerical Analysis, Coimbra.
2007/07/09 The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates Thematic Conference on Meshless Methods 2007 - Porto.
2007/06/11 Numerical determination of resonance eigenfrequencies using the MFS Method of Fundamental Solutions 2007 - Ayia Napa - Cyprus.
2007/01/07 The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes International Conference on Computational & Experimental Engineering and Sciences (ICCES’07) - Miami - USA.
2006/06/05 The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates III European Conference on Computational Mechanics - LNEC, Lisbon.
2005/12/01 Numerical calculation of eigensolutions of 3D shapes using the Method of Fundamental Solutions International Conference on Computational & Experimental Engineering and Sciences (ICCES¿05) - Chennai - India.
2005/07/11 Numerical calculation of eigensolutions of 3D shapes using the Method of Fundamental Solutions ECCOMAS Thematic Conference on Meshless Methods 2005, LNEC, Lisbon.
2004/12/15 Numerical determination of the resonance frequencies and eigenmodes using the MFS International Conference on Computational Methods - Singapore.

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2021/11/02 - Current Métodos sem Malha Localizados e Aplicações a Problemas de Otimização em Geometrias Complexas
Supervisor
Universidade de Lisboa Grupo de Física Matemática, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
2021/09/27 - Current Mathematical Aspects of Meshless Methods
Supervisor
Universidade Aberta, Portugal
2021/01/10 - Current Otimização de Forma em Problemas de Valores Próprios do Laplaciano
Supervisor
Universidade Aberta, Portugal
2022/01/01 - 2025/12/31 Métodos Espectrais para a Resolução Numérica de Problemas em Elastodinâmica
Co-supervisor
Universidade Aberta, Portugal
2022/10/11 - 2023/10/11 A numerical study of the Dirac spectrum and transmission problems employing the Method of Fundamental Solutions
Supervisor
Universidade de Lisboa, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2021/10/29 - Current 29-30 October 2021 - co-organizer of the event ’VIII Feira da Matemática’, Museu Nacional de História Natural e da Ciência, Lisbon. (2021/10/29)
Conference (Co-organisor)
2022/07/18 - 2022/07/20 18-20 July 2022 - co-organizer of the Annual Meeting of the Portuguese Mathematical Society (2022/07/18 - 2022/07/20)
Conference (Co-organisor)
2021/07/12 - 2021/07/16 12-16 July 2021 - co-organizer of the Annual Meeting of the Portuguese Mathematical Society (online) (2021/07/12 - 2021/07/16)
Conference (Co-organisor)
2021/05/12 - 2021/05/12 12 May 2021 - co-organizer of the event about teaching of mathematics - "Jornadas da Educação - Didática da Matemática" (online) - Universidade Aberta & Sociedade Portuguesa de Matemática (2021/05/12 - 2021/05/12)
2020/10/23 - 2020/10/24 23-24 October 2020 - co-organizer of the event ’VII Feira da Matemática’, Museu Nacional de História Natural e da Ciência, Lisbon. (2020/10/23 - 2020/10/24)
2019/07/29 - 2019/07/31 29-31 July, 2019 - co-organizer and member of the Scientific Committee of International Confer- ence on Trefftz and MFS Methods - IST, Lisbon. (2019/07/29)
Conference (Co-organisor)
2018/07/05 - 2018/07/09 5-9 July, 2018 - co-organizer of the Mini-symposium - "Eigenvalues of Elliptic Operators and Their Applications" - at the Conference The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications - Taipei, Taiwan (2018/07/05 - 2018/07/09)
Conference (Co-organisor)
2005/07/11 - 2005/07/14 July 11-14, 2005 - member of the local organization of the ECCOMAS Thematic Conference on Meshless Methods 2005, LNEC, Lisbon. (2005/07/11 - 2005/07/14)
Conference (Co-organisor)

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2023/12/19 Polyharmonic eigenvalue problems of the Steklov type
(Thesis) Main arguer
 Arthur Alexandre Sahakian (PhD)
Aix-Marseille Université, France
2023/10/11 A numerical study of the Dirac spectrum and transmission problems employing the Method of Fundamental Solutions
Supervisor
 Francisco Alves Bento (Master)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2023/07/28 The Black-Scholes equation modelled through finite differences
(Thesis) Main arguer
 Rui Moreno (Other)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2022/05/03 Spline-based numerical methods for fractional diffusion equations
(Thesis) Main arguer
 Carla Filipa Bessa Morgado de Jesus (PhD)
Universidade de Coimbra, Portugal
2018/07/10 Improvement of the indirect BEM and the MFS for solving ficticious-frequency problems in 2D exterior acoustics
(Thesis) Main arguer
 Chi-Feng Nien (Master)
National Taiwan Ocean University, Taiwan
2018/07/10 A study on the degenerate scale by using the fundamental solution with dimensionless argument for 2D elasticity problems
(Thesis) Main arguer
 Sheng-Kuang Chen (Master)
National Taiwan Ocean University, Taiwan
2017/07/28 Numerical Reconstructions from Reflected Global Navigation Satellite Data
(Thesis) Main arguer
 Jéssica Perfeito (Master)
Universidade de Lisboa Instituto Superior Técnico, Portugal

Association member

Society Organization name Role
2020 - 2022 Portuguese Mathematical Society Member of the Executive Board

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2016/07/11 - 2016/07/12 Mini-course - "Workshop on Partial Differential Equations and Eigenvalue Problems" - IPM- Isfahan, Iran, July 11-12, 2016. (Postgraduate Certificate)

Other jury / evaluation

Activity description Institution / Organization
2023/11/01 - Current Reviewer of a scientific project proposal - Chilean National Science and Technology Commission - Chile - November 2023 Agencia Nacional de Investigación y Desarrollo, Chile
2018/11/01 - Current Reviewer of a scientific project proposal - Chilean National Science and Technology Commission - Chile - November 2018 Agencia Nacional de Investigación y Desarrollo, Chile
2017/03/01 - Current Reviewer of a scientific project proposal - National Science Centre - Poland - March 2017 Narodowe Centrum Nauki, Poland
2023/09/01 - 2023/09/01 Jury of the “Mc Kinsey Prize” for the best student of the IST courses in Computational Mathe- matics, Instituto Superior Técnico - 2023
2022/09/01 - 2022/09/01 Member of the Jury for a position of an Assistant Professor ("Professor Auxiliar") in the scientific area of Mathematics, sub-area of Mathematical Analysis and Numerical Analysis, Universidade Aberta, Lisbon, 2022 Universidade Aberta, Portugal
Distinctions

Award

2018 University of Lisbon / Caixa Geral de Depósitos Prize in Mathematics
2009 Prize for Young Scientists in Mathematics
Technical University of Lisbon, Portugal
2009 Gulbenkian Prize for Young Researchers in Mathematics
Fundação Calouste Gulbenkian, Portugal

Other distinction

2023 Honorable Mention in the University of Lisbon/CGD Prize - mathematics
Universidade de Lisboa, Portugal
2014 FCT Investigator - Research Position
2009 Postdoctoral Scholarship (first rank position in the national call for applications, among 41 candidates with PHD in mathematics)
2005 PHD Scholarship