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Identification

Personal identification

Full name
Stéphane Louis Clain

Citation names

  • Clain, Stéphane

Author identifiers

Ciência ID
D811-3EE8-5EF5
ORCID iD
0000-0003-2295-5118
Education
Degree Classification
2011/11/01 - 2011/11/02
Concluded
 Ciências da Matemática (Título de Agregado)
Major in Matematica aplicada
Universidade do Minho, Portugal
2005/05/01 - 2005/05/01
Concluded
 Habilitation à Diriger les Recherches (HDR) (Postgraduate Certificate)
Major in Mathematiques Appliquées
Université Blaise Pascal Bibliothèque Campus Universitaire des Cézeaux, France
 N/A
1991/09/01 - 1994/05/14
Concluded
 matemática (Doutoramento)
Major in analise numérica
École Polytechnique Fédérale de Lausanne, Switzerland
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2022/09/01 - Current Full Professor (University Teacher) Universidade de Coimbra, Portugal
Universidade de Coimbra, Portugal
2018 - 2019 Full Professor (University Teacher) Universidade do Minho, Portugal
2010/09/01 - 2017/06/30 Associate Professor (University Teacher) Universidade do Minho, Portugal

Positions / Appointments

Category
Host institution 		Employer
2016 - 2017 Coordenação ou direção de centro de investigação, departamento ou equivalente Universidade do Minho, Portugal
2013/07/01 - 2016/06/30 Organic Unit Vice-President Universidade do Minho Escola de Ciências, Portugal
2013 - 2016 Manager of Laboratory, Institute, Museum, Centre or Observatory Universidade do Minho, Portugal
2013 - 2015 Diretor ajunto do centro de Matemática Universidade do Minho, Portugal
Projects

Grant

Designation Funders
2018/06 - 2022/05 Os Desafios Óptimos na Irrigação
Provided by PTCRIS: PTDC/MAT-APL/28247/2017
PTDC/MAT-APL/28247/2017
Universidade do Minho, Portugal

Universidade de Aveiro, Portugal

Universidade de Trás-os-Montes e Alto Douro, Portugal

Universidade do Porto, Portugal
Fundação para a Ciência e a Tecnologia, I.P.

Fundação para a Ciência e a Tecnologia
Concluded
2013/03 - 2016/12 New numerical schemes for extreme geophysical phenomena
124734
Provided by PTCRIS: 124734
 Fundação para a Ciência e a Tecnologia, I.P.

Contract

Designation Funders
2018/12/14 - 2022/12/13 Simulação e Computação eficiente para a Saúde, o Mar e a Indústria
PTDC/MAT-APL/28118/2017
Provided by PTCRIS: PTDC/MAT-APL/28118/2017
Universidade do Minho, Portugal

FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Coimbra, Portugal
Fundação para a Ciência e a Tecnologia

Fundação para a Ciência e a Tecnologia, I.P.
Concluded
2019/01/01 - 2019/12/31 Centro de Física das Universidades do Minho e do Porto
UID/FIS/04650/2019
Centro de Física das Universidades do Minho e do Porto, Portugal

Universidade do Minho, Portugal

Universidade do Porto Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2012/04/02 - 2015/08/01 simulação numérica de um escoamente tridimensional de polimeros e aplicação a o molde
PTDC/MAT/121185/2010
Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal

Universidade do Minho Escola de Ciências, Portugal

Universidade do Minho Instituto de Polímeros e Compósitos, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2014/01/01 - 2015/06/30 VAPS- Abordagem variacional para Cirurgia Plástica
EXPL/MAT-NAN/0606/2013
Universidade de Évora, Portugal

Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal

Universidade do Porto Instituto de Ciências Biomédicas Abel Salazar, Portugal

Centro de Física das Universidades do Minho e do Porto, Portugal

Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Costa, R.; Clain, S.; Machado, G.J.. Finite volume scheme based on cell-vertex reconstructions for anisotropic diffusion problems with discontinuous coefficients. 2014.
    10.1007/978-3-319-09144-0_7
Conference paper
  1. Cláudia Reis; André R. Barbosa; Mário Lopes; Clain, Stéphane; Maria Ana Baptista. "Coupled FV-SPH simulations of tsunami impacting critical infrastructures". Paper presented in Second International Conference On Urban Risks, Lisbon, 2022.
  2. Reis, Cláudia; Lopes, Mário; Clain, Stéphane; Baptista, Maria Ana. "Numerical approach to assess sequential earthquake and tsunami damage on a pile supported quay". Paper presented in 17th World Conference on Earthquake Engineering, Sendai, 2021.
    Published
  3. Reis, C.; Figueiredo, J.; Clain, S.; Omira, R.; Baptista, M.A.; Miranda, J.. "Muscl vs mood techniques to solve the swe in the framework of tsunami events". 2017.
  4. Salgueiro, P.; Abreu, S.; Rolo, J.; Clain, S.. "An interactive web-based tool for breast reduction surgery simulation". 2015.
    10.1109/3DUI.2015.7131760
  5. Figueiredo, Jorge Manuel; Clain, Stéphane. "Second-order finite volume mood method for the shallow water with dry/wet interface". 2015.
  6. Clain, Stéphane; Figueiredo, Jorge Manuel; Loubère, Raphael; Diot, Steven. "An overview on the multidimensional optimal order detection method". 2015.
  7. Costa, Ricardo Daniel Pereira; Clain, Stéphane; Machado, Gaspar J.. "6th-order finite volume approximations for the stokes equations with a curved boundary". 2015.
  8. Machado, Gaspar J.; Clain, Stéphane; Loubère, R.; Diot, S.. "6th-order finite volume approximation for the steady-state burger and euler equations: the mood approach". 2015.
  9. Clain, S.; Machado, G.J.; Pereira, R.M.S.; Smirnov, G.. "Soft tissue modelling for analysis of errors in breast reduction surgery". 2014.
  10. Boularas, A.; Baudoin, F.; Teyssedre, G.; Villeneuve-Faure, C.; Clain, S.. "Multi-dimensional modelling of electrostatic forces between atomic force microscopy tip and dielectric surface". 2013.
    10.1109/ICSD.2013.6619876
  11. Clain, Stéphane; Machado, Gaspar J.. "Very high-order time scheme for the finite volume method". 2013.
  12. Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.. "Bending of a beam with finite volume schemes". 2013.
  13. Clain, Stéphane; Figueiredo, Jorge Manuel; Ribeiro, Carolina Paula Baptista. "A finite volume scheme for the shallow-water system with the polynomial reconstruction". 2012.
  14. Clain, Stéphane; Machado, Gaspar J.; Pereira, Rui M. S.. "A new very high-order finite volume method for the 2D convection diffusion problem on unstructured meshes". 2012.
  15. Machado, Gaspar J.; Clain, Stéphane; Pereira, Rui M. S.. "Very high-order finite volume scheme for 1D convection diffusion problem: the implicit case". 2012.
  16. Clain, Stéphane; Machado, Gaspar J.; Pereira, Rui M. S.. "A finite volume scheme for the convection-diffusion system using the polynomial reconstruction operator". 2012.
  17. Clain, S.; Diot, S.; Loubère, R.. "Multi-dimensional Optimal Order Detection (MOOD) - a Very High-Order Finite Volume Scheme for Conservation Laws on Unstructured Meshes". 2011.
    10.1007/978-3-642-20671-9_28
  18. André, P.; Clain, S.; Dudeck, M.; Izrar, B.; Rochette, D.; Touzani, R.; Vacher, D.. "First step in theoretical approach in study of mars and titan atmospheres with an inductively coupled plasma torch". 2009.
  19. Gentils, F.; Rochette, D.; Bussière, W.; Clain, S.. "Experimental diagnostic and numerical simulation of an internal arc fault in a medium voltage cell". 2007.
  20. Abbaoui, M.; Lefort, A.; Clain, S.. "Influence of the material nature (Ag, Cu, Al, Fe, W, C) on the arc root characteristics at the cathode". 2004.
    10.1109/DEIV.2004.1418648
  21. Lefort, A.; Abbaoui, M.; Clain, S.; Rossignol, J.. "Theoretical elements about cathode arc root". 2000.
Journal article
  1. S. Clain; J. Figueiredo; Clain, Stéphane; Figueiredo, Jorge. "Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method". Mathematics and Computers in Simulation (2024): https://doi.org/10.1016/j.matcom.2023.11.009.
    10.1016/j.matcom.2023.11.009
  2. Cláudia Reis; André R. Barbosa; Maria Ana Baptista; Mário Lopes; Stéphane Clain. "A numerical methodology for estimating site-specific cascading earthquake and tsunami dynamic loading on critical infrastructure". International Journal of Disaster Risk Reduction (2024): https://doi.org/10.1016/j.ijdrr.2023.104163.
    10.1016/j.ijdrr.2023.104163
  3. Clain, Stéphane; Lopes, Diogo; Pereira, Rui M. S.; Pereira, Paulo A.; S. Clain; D. Lopes; Rui M.S. Pereira; Paulo A. Pereira. "Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations". Journal of Computational Physics (2024): https://hdl.handle.net/1822/87450.
    10.1016/j.jcp.2023.112667
  4. Ricardo Costa; Stéphane Clain; Gaspar J. Machado; João M. Nóbrega; Hugo Beirão da Veiga; Francesca Crispo. "Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes". Computer Methods in Applied Mechanics and Engineering (2023): https://doi.org/10.1016/j.cma.2023.116274.
    10.1016/j.cma.2023.116274
  5. Stéphane Clain; Gaspar J. Machado; M.T. Malheiro. "Compact schemes in time with applications to partial differential equations". Computers & Mathematics with Applications (2023): https://doi.org/10.1016/j.camwa.2023.03.011.
    10.1016/j.camwa.2023.03.011
  6. Clain, Stéphane; Pereira, Rui M. S.; Pereira, Paulo A.; Lopes, Diogo; Stéphane Clain; Rui M.S. Pereira; Paulo A. Pereira; Diogo Lopes. "Structural schemes for one dimension stationary equations". Applied Mathematics and Computation (2023): https://hdl.handle.net/1822/86694.
    10.1016/j.amc.2023.128207
  7. Cláudia Reis; Mário Lopes; Maria Ana Baptista; Stéphane Clain. "Towards an integrated framework for the risk assessment of coastal structures exposed to earthquake and tsunami hazards". Resilient Cities and Structures (2022): https://doi.org/10.1016/j.rcns.2022.07.001.
    10.1016/j.rcns.2022.07.001
  8. Gaspar J. Machado; Rui M.S. Pereira; Stéphane Clain; Nuno Araújo; Sofia O. Lopes; Machado, Gaspar J.; Pereira, Rui M. S.; et al. "A new stabilised scheme for the Richards’ equation with evapotranspiration". Groundwater for Sustainable Development (2022): https://doi.org/10.1016/j.gsd.2022.100736.
    10.1016/j.gsd.2022.100736
  9. Reis, Cláudia; Barbosa, André R.; Figueiredo, Jorge; Clain, Stéphane; Lopes, Mário; Baptista, Maria Ana. "Smoothed particle hydrodynamics modeling of elevated structures impacted by tsunami-like waves". (2022): https://hdl.handle.net/1822/80195.
    10.1016/j.engstruct.2022.114851
  10. Costa, Ricardo Daniel Pereira da; Clain, Stéphane; Machado, Gaspar J.; Nóbrega, J. M.. "Very high-order accurate finite volume scheme for the steady-state incompressible navier-stokes equations with polygonal meshes on arbitrary curved boundaries". (2022): https://hdl.handle.net/1822/84220.
    10.1016/j.cma.2022.115064
  11. Reis, Cláudia; ´Baptista, Maria Ana; Lopes, Mário; Oliveira, Carlos Sousa; Clain, Stéphane. "Cascade earthquake and tsunami hazard assessment: A deterministic perspective for engineering purposes.". International Journal of Disaster Risk Reduction (2022):
    Published
  12. M.T. Malheiro; Gaspar J. Machado; Stéphane Clain. "An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations". Computers & Mathematics with Applications 103 (2021): 65-81. https://doi.org/10.1016/j.camwa.2021.10.022.
    10.1016/j.camwa.2021.10.022
  13. Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher. "A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction". Computers & Fluids 230 (2021): 105152-105152. https://doi.org/10.1016/j.compfluid.2021.105152.
    10.1016/j.compfluid.2021.105152
  14. J. Figueiredo; S. Clain; Figueiredo, Jorge; Clain, Stéphane. "A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System". Journal of Scientific Computing 88 1 (2021): https://doi.org/10.1007/s10915-021-01513-z.
    10.1007/s10915-021-01513-z
  15. Costa, R.; Nóbrega, J.M.; Clain, S.; Machado, G.J.; Fernández-Fidalgo, Javier; Clain, Stéphane; Luis Ramírez; et al. "Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains". Journal of Computational Physics 445 (2021): 112782. http://www.scopus.com/inward/record.url?eid=2-s2.0-85112555726&partnerID=MN8TOARS.
    10.1016/j.jcp.2021.110604
  16. Costa, R.; Nóbrega, J.M.; Clain, S.; Machado, G.J.; Costa, Ricardo Daniel Pereira da; Nóbrega, J. M.; Clain, Stéphane; Machado, Gaspar J.. "High-order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing". International Journal for Numerical Methods in Engineering (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85121584214&partnerID=MN8TOARS.
    10.1002/nme.6892
  17. Reis, Cláudia; Clain, Stéphane; Figueiredo, Jorge; Barbosa, Andre R.; Baptista, Maria Ana Carvalho Viana; Lopes, Mário; Barbosa, André R.; et al. "Experimentally validated numerical models to assess tsunami hydrodynamic force on an elevated structure". Engineering Structures 249 (2021): http://hdl.handle.net/10400.21/13937.
    10.1016/j.engstruct.2021.113280
  18. Figueiredo, J.; Clain, S.; Figueiredo, Jorge; Clain, Stéphane. "On the solution of the slope beach problem in the context of shallow-water code benchmarking: Why non-linearization of the initial waveforms is essential". Advances in Water Resources 145 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85090402858&partnerID=MN8TOARS.
    10.1016/j.advwatres.2020.103751
  19. Ricardo Costa; João M. Nóbrega; Stéphane Clain; Gaspar J. Machado. "Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts". Computer Methods in Applied Mechanics and Engineering (2019): https://doi.org/10.1016/j.cma.2019.07.029.
    10.1016/j.cma.2019.07.029
  20. Reis, C.; Figueiredo, J.; Clain, S.; Omira, R.; Baptista, M.A.; Miranda, J.M.. "Comparison between MUSCL and MOOD techniques in a finite volume well-balanced code to solve SWE. the Tohoku-Oki, 2011 example". Geophysical Journal International 216 2 (2019): 958-983. http://www.scopus.com/inward/record.url?eid=2-s2.0-85066746229&partnerID=MN8TOARS.
    10.1093/gji/ggy472
  21. Costa, R.; Nóbrega, J.M.; Clain, S.; Machado, G.J.; Loubère, R.. "Very high-order accurate finite volume scheme for the convection-diffusion equation with general boundary conditions on arbitrary curved boundaries". International Journal for Numerical Methods in Engineering 117 2 (2019): 188-220. http://www.scopus.com/inward/record.url?eid=2-s2.0-85054503412&partnerID=MN8TOARS.
    10.1002/nme.5953
  22. Ricardo Costa; Stéphane Clain; Raphaël Loubère; Gaspar J. Machado. "Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition". Applied Mathematical Modelling 54 (2018): 752-767. https://doi.org/10.1016/j.apm.2017.10.016.
    10.1016/j.apm.2017.10.016
  23. Loja, A.; Clain, S.L.; Barbosa, J.I.; Rodrigues, J.A.. "Foreword to the Special Focus on Advances in Symbolic and Numeric Computation II". Mathematics in Computer Science 12 2 (2018): 107-109. http://www.scopus.com/inward/record.url?eid=2-s2.0-85046783145&partnerID=MN8TOARS.
    10.1007/s11786-018-0341-9
  24. Clain, S.; Loubère, R.; Machado, G.J.. "A posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations". Advances in Computational Mathematics 44 2 (2018): 571-607. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027364845&partnerID=MN8TOARS.
    10.1007/s10444-017-9556-6
  25. Ricardo Costa; Stéphane Clain; Gaspar J. Machado. "A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes". Journal of Computational Physics 349 (2017): 501-527. https://doi.org/10.1016/j.jcp.2017.07.047.
    10.1016/j.jcp.2017.07.047
  26. Filipe Marques; Stéphane Clain; Gaspar J. Machado; Bruno Martins; Olga S. Carneiro; João M. Nóbrega. "A new energy conservation scheme for the numeric study of the heat transfer in profile extrusion calibration". Heat and Mass Transfer (2017): https://doi.org/10.1007%2Fs00231-017-2023-6.
    10.1007/s00231-017-2023-6
  27. Ricardo Costa; Stéphane Clain; Gaspar J. Machado; Raphaël Loubère. "A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier–Stokes and Euler Equations on Unstructured Meshes". Journal of Scientific Computing (2017): https://doi.org/10.1007%2Fs10915-016-0348-9.
    10.1007/s10915-016-0348-9
  28. Diogo Lopes; Stéphane Clain; Rui M. S. Pereira; Gaspar J. Machado; Georgi Smirnov; Igor Vasilevskiy. "Numerical simulation of breast reduction with a new knitting condition". International Journal for Numerical Methods in Biomedical Engineering (2017): https://doi.org/10.1002%2Fcnm.2796.
    10.1002/cnm.2796
  29. A. Boularas; S. Clain; F. Baudoin. "A sixth-order finite volume method for diffusion problem with curved boundaries". Applied Mathematical Modelling 42 (2017): 401-422. https://doi.org/10.1016/j.apm.2016.10.004.
    10.1016/j.apm.2016.10.004
  30. Bussière, W.; Rochette, D.; Clain, S.; André, P.; Renard, J.B.. "Pressure drop measurements for woven metal mesh screens used in electrical safety switchgears". International Journal of Heat and Fluid Flow 65 (2017): 60-72. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016457974&partnerID=MN8TOARS.
    10.1016/j.ijheatfluidflow.2017.02.008
  31. Clain, S.; Figueiredo, J.. "The MOOD method for the non-conservative shallow-water system". Computers and Fluids 145 (2017): 99-128. http://www.scopus.com/inward/record.url?eid=2-s2.0-85006743871&partnerID=MN8TOARS.
    10.1016/j.compfluid.2016.11.013
  32. Michel-Dansac, V.; Berthon, C.; Clain, S.; Foucher, F.; Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher. "A well-balanced scheme for the shallow-water equations with topography". Computers & Mathematics with Applications 72 3 (2016): 568-593. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000380593100008&KeyUID=WOS:000380593100008.
    10.1016/j.camwa.2016.05.015
  33. Marques, F.; Clain, S.; Machado, G. J.; Martins, B.; Carneiro, O. S.; Nobrega, J. M.. "A novel heat transfer coefficient identification methodology for the profile extrusion calibration stage". Applied Thermal Engineering 103 (2016): 102-111. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000379560500011&KeyUID=WOS:000379560500011.
    10.1016/j.applthermaleng.2016.04.013
  34. Boularas, A.; Baudoin, F.; Teyssedre, G.; Villeneuve-Faure, C.; Clain, S.. "3D modeling of electrostatic interaction between atomic force microscopy probe and dielectric surface: Impact of tip shape and cantilever contribution". IEEE Transactions on Dielectrics and Electrical Insulation 23 2 (2016): 705-712. http://www.scopus.com/inward/record.url?eid=2-s2.0-84973484186&partnerID=MN8TOARS.
    10.1109/TDEI.2016.005341
  35. Clain, S.; Reis, C.; Costa, R.; Figueiredo, J.; Baptista, M.A.; Miranda, J.M.. "Second-order finite volume with hydrostatic reconstruction for tsunami simulation". Journal of Advances in Modeling Earth Systems 8 4 (2016): 1691-1713. http://www.scopus.com/inward/record.url?eid=2-s2.0-84995959522&partnerID=MN8TOARS.
    10.1002/2015MS000603
  36. Nogueira, X.; Ramírez, L.; Clain, S.; Loubère, R.; Cueto-Felgueroso, L.; Colominas, I.. "High-accurate SPH method with Multidimensional Optimal Order Detection limiting". Computer Methods in Applied Mechanics and Engineering 310 (2016): 134-155. http://www.scopus.com/inward/record.url?eid=2-s2.0-84979524788&partnerID=MN8TOARS.
    10.1016/j.cma.2016.06.032
  37. Ribeiro, C.; Viaño, J.M.; Figueiredo, J.; Rodríguez-Arós, Á.. "Characterization of the Bernoulli–Navier model for a rectangular section beam as the limit of the Kirchhoff–Love model for a plate". Zeitschrift fur Angewandte Mathematik und Physik 67 5 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84987817740&partnerID=MN8TOARS.
    10.1007/s00033-016-0710-7
  38. Costa, R.; MacHado, G.J.; Clain, S.. "A Sixth-Order Finite Volumemethod for the 1D Biharmonic Operator: Application to Intramedullary Nail Simulation". International Journal of Applied Mathematics and Computer Science 25 3 (2015): 529-537. http://www.scopus.com/inward/record.url?eid=2-s2.0-84943747354&partnerID=MN8TOARS.
    10.1515/amcs-2015-0039
  39. Rochette, D.; Clain, S.; Gonnet, J.-P.; Bussiere, W.. "Numerical study of the impact of filters located in the exhaust duct of a low-voltage circuit breaker". IEEE Transactions on Components, Packaging and Manufacturing Technology 5 1 (2015): 49-56. http://www.scopus.com/inward/record.url?eid=2-s2.0-84921420912&partnerID=MN8TOARS.
    10.1109/TCPMT.2014.2375513
  40. Costa, R.; Clain, S.; Machado, G.J.. "New cell-vertex reconstruction for finite volume scheme: Application to the convection-diffusion-reaction equation". Computers and Mathematics with Applications 68 10 (2014): 1229-1249. http://www.scopus.com/inward/record.url?eid=2-s2.0-84908406327&partnerID=MN8TOARS.
    10.1016/j.camwa.2014.08.015
  41. Clain, S.; Machado, G.J.. "A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher Tableau extension". Computers and Mathematics with Applications 68 10 (2014): 1292-1311. http://www.scopus.com/inward/record.url?eid=2-s2.0-84908430902&partnerID=MN8TOARS.
    10.1016/j.camwa.2014.09.001
  42. Rochette, D.; Clain, S.; Touzani, R.. "Voltage excitation in coil rings using magnetically coupled inductor/load for axisymmetric geometry". IEEE Transactions on Power Delivery 29 1 (2014): 118-125. http://www.scopus.com/inward/record.url?eid=2-s2.0-84893809450&partnerID=MN8TOARS.
    10.1109/TPWRD.2013.2279920
  43. Boularas, A.; Baudoin, F.; Villeneuve-Faure, C.; Clain, S.; Teyssedre, G.. "Multi-dimensional modelling of electrostatic force distance curve over dielectric surface: Influence of tip geometry and correlation with experiment". Journal of Applied Physics 116 8 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84906861066&partnerID=MN8TOARS.
    10.1063/1.4894147
  44. Clain, S.; Machado, G.J.; Nóbrega, J.M.; Pereira, R.M.S.. "A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients". Computer Methods in Applied Mechanics and Engineering 267 (2013): 43-64. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884251437&partnerID=MN8TOARS.
    10.1016/j.cma.2013.08.003
  45. Diot, S.; Loubère, R.; Clain, S.. "The Multidimensional Optimal Order Detection method in the three-dimensional case: Very high-order finite volume method for hyperbolic systems". International Journal for Numerical Methods in Fluids 73 4 (2013): 362-392. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883551488&partnerID=MN8TOARS.
    10.1002/fld.3804
  46. Clain, S.; Ngomanda, M.D.. "The half-planes problem for the level set equation". International Journal of Numerical Analysis and Modeling 10 1 (2013): 99-115. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872360274&partnerID=MN8TOARS.
  47. Clain, S.. "Finite volume maximum principle for hyperbolic scalar problems". SIAM Journal on Numerical Analysis 51 1 (2013): 467-490. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876141538&partnerID=MN8TOARS.
    10.1137/110854278
  48. Rochette, D.; Clain, S.; Bussière, W.. "Unsteady compressible flow in ducts with varying cross-section: Comparison between the nonconservative Euler system and the axisymmetric flow model". Computers and Fluids 53 1 (2012): 53-78. http://www.scopus.com/inward/record.url?eid=2-s2.0-81355160314&partnerID=MN8TOARS.
    10.1016/j.compfluid.2011.09.004
  49. Baudoin, F.; Mills, D.H.; Lewin, P.L.; Le Roy, S.; Teyssedre, G.; Laurent, C.; Clain, S.. "Modelling electroluminescence in insulating polymers under ac stress: Effect of voltage offset and pre-stressing". Journal of Physics D: Applied Physics 45 32 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84864494694&partnerID=MN8TOARS.
    10.1088/0022-3727/45/32/325303
  50. Diot, S.; Clain, S.; Loubère, R.. "Improved detection criteria for the Multi-dimensional Optimal Order Detection (MOOD) on unstructured meshes with very high-order polynomials". Computers and Fluids 64 (2012): 43-63. http://www.scopus.com/inward/record.url?eid=2-s2.0-84861800014&partnerID=MN8TOARS.
    10.1016/j.compfluid.2012.05.004
  51. Clain, S.; Diot, S.; Loubère, R.. "A high-order finite volume method for systems of conservation laws-Multi-dimensional Optimal Order Detection (MOOD)". Journal of Computational Physics 230 10 (2011): 4028-4050. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952898221&partnerID=MN8TOARS.
    10.1016/j.jcp.2011.02.026
  52. Rochette, D.; Clain, S.; Gentils, F.; Wild, J.; Bussire, W.. "Numerical simulation of the porous filter properties for the internal arc mollifying effects". Electric Power Systems Research 81 1 (2011): 66-73. http://www.scopus.com/inward/record.url?eid=2-s2.0-77958051998&partnerID=MN8TOARS.
    10.1016/j.epsr.2010.07.002
  53. Rochette, D.; Clain, S.; Bussiére, W.; André, P.; Besnard, C.. "Erratum: Porous filter optimization to improve the safety of the medium-voltage electrical installations during an internal arc fault (IEEE Transactions on Power Delivery (2010) (2464))". IEEE Transactions on Power Delivery 26 1 (2011): 486-487. http://www.scopus.com/inward/record.url?eid=2-s2.0-78650897141&partnerID=MN8TOARS.
    10.1109/TPWRD.2010.2098750
  54. André, P.; Aubreton, J.; Clain, S.; Dudeck, M.; Duffour, E.; Elchinger, M.F.; Izrar, B.; et al. "Transport coefficients in thermal plasma. Applications to Mars and Titan atmospheres". European Physical Journal D 57 2 (2010): 227-234. http://www.scopus.com/inward/record.url?eid=2-s2.0-77951430496&partnerID=MN8TOARS.
    10.1140/epjd/e2010-00036-5
  55. Rochette, D.; Clain, S.; Bussiére, W.; André, P.; Besnard, C.. "Porous filter optimization to improve the safety of the medium-voltage electrical installations during an internal arc fault". IEEE Transactions on Power Delivery 25 4 (2010): 2464-2471. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957009382&partnerID=MN8TOARS.
    10.1109/TPWRD.2010.2050606
  56. Buffard, T.; Clain, S.. "Monoslope and multislope MUSCL methods for unstructured meshes". Journal of Computational Physics 229 10 (2010): 3745-3776. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952430914&partnerID=MN8TOARS.
    10.1016/j.jcp.2010.01.026
  57. Clain, S.; Clauzon, V.. "L8 stability of the MUSCL methods". Numerische Mathematik 116 1 (2010): 31-64. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954219790&partnerID=MN8TOARS.
    10.1007/s00211-010-0299-2
  58. Clain, S.; Rochette, D.; Touzani, R.. "A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows". Journal of Computational Physics 229 13 (2010): 4884-4906. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952422694&partnerID=MN8TOARS.
    10.1016/j.jcp.2010.03.004
  59. Clain, Stéphane. "Cathode spot emergence on copper and chromium alloy used in vacuum breakers". Journal of High Temperature Material Processes (2010): http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000287717900006&KeyUID=WOS:000287717900006.
    10.1615/HighTempMatProc.v14.i3.60
  60. Clain, S.; Rochette, D.. "First- and second-order finite volume methods for the one-dimensional nonconservative Euler system". Journal of Computational Physics 228 22 (2009): 8214-8248. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349232189&partnerID=MN8TOARS.
    10.1016/j.jcp.2009.07.038
  61. Bouchon, F.; Clain, S.; Touzani, R.. "Perturbation method for the numerical solution of the Bernoulli problem". Journal of Computational Mathematics 26 1 (2008): 23-36. http://www.scopus.com/inward/record.url?eid=2-s2.0-39749141622&partnerID=MN8TOARS.
  62. Rochette, D.; Clain, S.; Gentils, F.. "Numerical investigations on the pressure wave absorption and the gas cooling interacting in a porous filter, during an internal arc fault in a medium-voltage cell". IEEE Transactions on Power Delivery 23 1 (2008): 203-212. http://www.scopus.com/inward/record.url?eid=2-s2.0-37749053658&partnerID=MN8TOARS.
    10.1109/TPWRD.2007.911104
  63. Rochette, D.; Clain, S.; André, P.; Bussière, W.; Gentils, F.. "Two-dimensional modelling of internal arc effects in an enclosed MV cell provided with a protection porous filter". Journal of Physics D: Applied Physics 40 10 (2007): 3137-3144. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250192610&partnerID=MN8TOARS.
    10.1088/0022-3727/40/10/017
  64. Boulay, S.; Colin, C.; Trentesaux, A.; Clain, S.; Liu, Z.; Lauer-Leredde, C.. "Sedimentary responses to the Pleistocene climatic variations recorded in the South China Sea". Quaternary Research 68 1 (2007): 162-172. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250644431&partnerID=MN8TOARS.
    10.1016/j.yqres.2007.03.004
  65. Rochette, D.; Clain, S.. "Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump". Journal of Computational Physics 219 1 (2006): 104-119. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750329331&partnerID=MN8TOARS.
    10.1016/j.jcp.2006.03.013
  66. Abbaoui, M.; Lefort, A.; Clain, S.. "A theoretical evolution analysis of the different anode and cathode electric ARC materials". High Temperature Material Processes 10 1 (2006): 1-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846675546&partnerID=MN8TOARS.
    10.1615/HighTempMatProc.v10.i1.10
  67. Clain, Stéphane. "Numerical scheme to compute a compressible gas flow in variable porous media". International Journal of Computational Fluid Dynamics (2005):
    10.1080/10618560500162702
  68. Bouchon, F.; Clain, S.; Touzani, R.. "Numerical solution of the free boundary Bernoulli problem using a level set formulation". Computer Methods in Applied Mechanics and Engineering 194 36-38 (2005): 3934-3948. http://www.scopus.com/inward/record.url?eid=2-s2.0-20444506416&partnerID=MN8TOARS.
    10.1016/j.cma.2004.09.008
  69. Rochette, D.; Clain, S.. "Local heat transfer of compressible fluid in porous media: Application to the HBC fuse". International Journal of Heat and Fluid Flow 26 2 (2005): 322-333. http://www.scopus.com/inward/record.url?eid=2-s2.0-13844308989&partnerID=MN8TOARS.
    10.1016/j.ijheatfluidflow.2004.09.001
  70. Clain, S.; Dupret, F.. "Capillarity-dissolution system for a two-dimensional geometry". Journal of Colloid and Interface Science 292 2 (2005): 517-536. http://www.scopus.com/inward/record.url?eid=2-s2.0-27744475731&partnerID=MN8TOARS.
    10.1016/j.jcis.2005.05.097
  71. Abbaoui, M.; Lefort, A.; Clain, S.; Rossignol, J.. "A comparative study of the behaviour of silver, copper and nickel submitted to a constant high power flux density". EPJ Applied Physics 31 1 (2005): 45-51. http://www.scopus.com/inward/record.url?eid=2-s2.0-22144459398&partnerID=MN8TOARS.
    10.1051/epjap:2005039
  72. Rochette, D.; Clain, S.. "Mathematical model and simulation of gas flow through a porous medium in high breaking capacity fuses". International Journal of Heat and Fluid Flow 25 1 (2004): 115-126. http://www.scopus.com/inward/record.url?eid=2-s2.0-1642570283&partnerID=MN8TOARS.
    10.1016/j.ijheatfluidflow.2003.09.001
  73. Clain, S.. "Chemical attack simulations using a level set formulation". Computational Materials Science 29 1 (2004): 76-88. http://www.scopus.com/inward/record.url?eid=2-s2.0-0242523729&partnerID=MN8TOARS.
    10.1016/S0927-0256(03)00097-1
  74. Rossignol, J.; Clain, S.; Abbaoui, M.. "The modelling of the cathode sheath of an electrical arc in vacuum". Journal of Physics D: Applied Physics 36 13 (2003): 1495-1503. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037767576&partnerID=MN8TOARS.
    10.1088/0022-3727/36/13/311
  75. Rochette, D.; Clain, S.. "Numerical simulation of Darcy and Forchheimer force distribution in a HBC fuse". Transport in Porous Media 53 1 (2003): 25-37. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037633917&partnerID=MN8TOARS.
    10.1023/A:1023550205171
  76. Rossignol, J.; Abbaoui, M.; Clain, S.. "Numerical modelling of thermal ablation phenomena due to a cathodic spot". Journal of Physics D: Applied Physics 33 16 (2000): 2079-2086. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034248056&partnerID=MN8TOARS.
    10.1088/0022-3727/33/16/322
  77. Clain, S.. "Chemical attack in free boundary domains". Journal of Applied Analysis 5 1 (1999): 35-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867950042&partnerID=MN8TOARS.
    10.1515/JAA.1999.35
  78. Clain, S.; Touzani, R.. "Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients". Mathematical Modelling and Numerical Analysis 31 7 (1997): 845-870. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031317025&partnerID=MN8TOARS.
  79. Clain, S.; Touzani, R.. "A two-dimensional stationary induction heating problem". Mathematical Methods in the Applied Sciences 20 9 (1997): 759-766. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031164078&partnerID=MN8TOARS.
  80. Clain, S.. "Finite element approximations for the laplace operator with a right-hand side measure". Mathematical Models and Methods in Applied Sciences 6 5 (1996): 713-719. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030503658&partnerID=MN8TOARS.
  81. Chaboudez, C.; Clain, S.; Glardon, R.; Rappaz, J.; Swierkosz, M.; Touzani, R.; Ciain, S.; Mari, D.. "Numerical modelling of induction heating of long workpieces". IEEE Transactions on Magnetics 30 6 pt 2 (1994): 5028-5037. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028549123&partnerID=MN8TOARS.
    10.1109/20.334291
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2022/10/01 - 2023/10/14 Polymeric-based ternary solid-state electrolytes for Lithium-ion batteries. Computer modeling of solid-state batteries
Supervisor of Maria do Carmo Mourato Leitão Vinagre Lucas
 mestrado de ambiante (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2000/09/01 - 2022/12/31 Modélisation et simulation de la décharge d’arc électrique dans un fusible moyenne tension
Supervisor
 matématica aplicada (PhD)
Laboratoire de Mathématiques Blaise Pascal, France
2018/10/01 - 2022/11/30 Structural behavior due to sucessive earthquake and tsunami
Co-supervisor
 Ciências de Engenharia - Engenharia Civil (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
2021/10/01 - 2022/11/25 Classificação e otimização de portefólios
Supervisor of Carolina Fernandes Monte
 Mestrado de Estatística para a Ciência dos Dados (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2021/10/01 - 2022/10/28 Aplicação da Árvore de Decisão na Escolha da Área de Atuação numa Oferta de Emprego ou Trabalho
Supervisor of Duque de Bragança Silva Martins
 mestrado em matemática e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2021/10/01 - 2022/10/05 KNN com relevância: uma extensão do classificador de Machine Learning KNN tradicional
Supervisor of Diana Filipa Rodrigues Lopes
 mestrado em estatistica para ciencias de dados (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2021/10/01 - 2022/10/05 Classificador Entrópico
Supervisor of Lucas Dos Santos Mello
 mestrado em matemática e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2019/11/01 - 2021/03/01 Classificação de clientes com aprendizagem automática
Supervisor of Adriana Loureiro Vilas Boas Lopes
 mestrado em matemática e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2019/11/01 - 2020/12/04 Utility Clustering with Ordinal Data
Supervisor of Luís Fernando Cruz Oliveira
 mestrado de estatistica (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2019/10/01 - 2020/12/01 Autoencoders lineares e nãolineares (ReLU)
Supervisor of Rui Pedro Filipe Teixeira
 mestrado em matemática e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2019/10/01 - 2020/10/03 clustering e teoria da utilidade e do risco
Supervisor of Andreai Filipa Marques Costa
 mestrado em matemática e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2017/10/01 - 2020/09/30 Advanced computational methods towards high-performance polymer processing simulations
Co-supervisor
 doutoramento (PhD)
Universidade do Minho Departamento de Engenharia de Polímeros, Portugal
2018/10/01 - 2019/12/02 Estudo e construção de árvores de decisão: aplicação ao ensino
Supervisor of Paulina Suquina,
 mestrado em matematica e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2017/10 - 2018/12 Deteção de Fraude em Telecomunicações através de Machine Learning
Supervisor of Luísa Lopes Caldas
 mestrado em matematica e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2014/10/01 - 2018/09/30 Numerical Surgery: Modeling, Simulation and Visualisation in Real Time
Supervisor
 matematica aplicada (PhD)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2016/10 - 2017/12 Clustering hierárquico numa plataforma de smart cities”
Supervisor of Maria Manuel Alves Soares
 mestrado em matem«atica e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2016/10 - 2017/11 Modelação com técnicas de clustering de participações geoespaciais de cidadãos
Supervisor of Ana Carolina Oliveira de Sousa
 mestrado em matematica e computação (Master)
Universidade do Minho Departamento de Matemática e Aplicações, Portugal
2011/10/01 - 2014/09/30 Mathematical modeling and numerical simulations of the vaccum disjuntor
Supervisor
 Ciências da Matemática (PhD)
Universidade do Minho, Portugal
2011/09/01 - 2013/05/31 Numerical simulation of charge in dielectric material with the finite volume methods
Co-supervisor
 matematica aplicada (PhD)
Institut de Mathématiques de Toulouse, France
2009/09/01 - 2012/08/31 Développement de méthodes numériques de hautes performances en for- mulation ALE (Arbitrary-Lagrangian-Eulerian) 3D pour la mécanique des fluides compressibles. Application à la Fusion par Confinement inertiel
Supervisor
 matematica aplicada (PhD)
Institut de Mathématiques de Toulouse, France
2003/09/01 - 2008/03/31 Nouvelles approximations numériques pour les équations de Navier-Stokes et l’équation level set
Supervisor
 matematica aplicada (PhD)
Laboratoire de Mathématiques Blaise Pascal, France
2004/09/01 - 2007/08/30 Analyse de schémas d’ordre élevé pour les écoulements compressibles. Application à la simulation numérique d’une torche à plasma
Supervisor
 matématica aplicada (PhD)
Laboratoire de Mathématiques Blaise Pascal, France
1999/09/01 - 2001/08/31 Théorie et simulation des phénomènes physiques du pied d’arc cathodique
Supervisor of Jérome Rossignol
matemática aplicada (PhD)
Laboratoire de Mathématiques Blaise Pascal, France

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2014/05 - Current The main purpose of this conference is to strengthen the collaborations between Finite Volume (FV) field actors and to share the burden of research and development of numerical codes of FV type. This workshop brings the opportunity for Researchers from International Universities to discuss the State-of-the-Art of high(er)-order Finite Volume methods for a large range of Physics and Engineering problems. The conference happens every year (see https://shark-fv.eu/home-shark/) (2014/05)
Congress (President of the Organising Committee)
2023/12/01 - 2023/12/01 The objectives of the one-day workshop focus on the recent development of AI in Computational mechanics, and foster the use of ML techniques in the elaboration of numerical schemes and the management of data. https://shark-fv.eu/ai4cm/ (2023/12/01 - 2023/12/01)
Meeting (President of the Organising Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal
2022/04/04 - 2022/04/08 Honom 2022 (https://shark-fv.eu/honom2022/) The aim of this conference is to present new research in the field of high order numerical methods applied to mathematical models based on PDEs to simulate a wide range of physical phenomena. (2022/04/04 - 2022/04/08)
Congress
 Universidade do Minho Departamento de Matemática e Aplicações, Portugal
Distinctions

Other distinction

2010 PES-IEEE Prize Paper Award 2010