Victor Péron

Responsabilities

Member of the International Science Council’s Global Roster of Experts 

Expert at the High Council for Evaluation of Research and Higher Education  

Member of expert commissions at INRIA Bordeaux - South West, 2011-2023

Manager of an engineering programme in Mathematics and computer science in 5 years, University of Pau and Pays de l'Adour, 2017-2022

Skills

• Mathematical modeling
• Numerical analysis
• Scientific computing 
• Transfer towards electromagnetism

Research interests

• Subjects: Mathematical modeling, numerical analysis, partial differential equations, scientific computing
• Topics

Mathematical modeling of complex phenomena related to physics 

Singular perturbations: asymptotic analysis, boundary layers, thin domains, small holes, impedance conditions 

Asymptotic techniques in computational mathematics

Numerical treatment of corner/edge singularities in elliptic systems: asymptotics, singular functions and coefficients  

Numerical methods for PDEs and integral equations: finite elements, spectral methods, polynomial solutions

• Application areas

Electromagnetism: eddy currents, skin effects, electromagnetic shielding, modeling of biological cells  

Mechanics, acoustics, seismology, scattering

Supervision

• PhD supervision

Aralar Erdozain, 2013-2016

Justine Labat, 2016-2019

Dima Abou, 2020-2023 

• Teaching in Master degree

Numerical analysis 

Asymptotic analysis 

Projects

European, ANR, and I-SITE projects: 

• I-SITE E2S UPPA. PhD project: Numerical resolution of magnetic diffusion issues in ferromagnetic materials https://e2s-uppa.eu/en/index.html 

• Project MATHROCKS (Marie Curie RISE action), https://cordis.europa.eu/project/id/777778 

• Project GEAGAM (Marie Curie RISE action), 2015-2017, https://cordis.europa.eu/project/id/644202 

• Project ANR ARAMIS, Analysis of Robust Asymptotic Methods In numerical Simulation in mechanics, 2012-2017. https://anr.fr/Projet-ANR-12-BS01-0021 

• Project HPC-GA, Marie Curie Action, 2012-2014. 

• Hubert Curien partnership Procope, 2012. https://www.campusfrance.org/fr/procope 

Interdisciplinary projects on numerical modeling problems in electromagnetism for the design of industrial systems. We develop numerical methods for solving pertubation problems in collaboration with researchers in the fields of electrical engineering and electromagnetism.  

Permanent member of Magique 3D, joint project-team between Inria, and the Department of Applied Mathematics of the University of Pau, in partnership with CNRS, 2010-2019. 

Collaborations abroad: 

Basque Center for Applied Mathematics, Ikerbasque, and University of the Basque Country, Bilbao (Spain)

Ben-Gurion University of the Negev, Beer Sheva (Israel)

Colorado School of Mines, Denver (USA)

KU Leuven (Belgium)

Pontificia Universidad Católica de Valparaíso (Chile)

Technische Universitat Berlin (Germany)

Universidade Federal do Rio Grande do Sul, Porto Alegre (Brazil)

University of Liège (Belgium)

Publications

• Preprint

Uniform estimates for transmission problems in electromagnetism with high contrast in magnetic permeabilities 

• Articles in peer reviewed journals 

33. Asymptotic modelling of a skin effect in magnetic conductors SIAM Journal on Applied Mathematics, to appear

32. The Airfoil Integral Equation over Disjoint Intervals: Analytic Solutions and Asymptotic Expansions (with Leandro Farina and Marcos Ferreira) European Journal of Mathematics 10, 46 (2024) 

31. On Ventcel-type transmission conditions for a Helmholtz problem with a non-uniform thin layer (with Khaled Boutarene and Sami Galleze) SeMA Journal, 1-34, 2024

30. Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials (with Dima Abou El Nasser El Yafi) Computers & Mathematics with Applications, 151, pp. 335-345 (2023)

29. Numerical study of the magnetic skin effect: efficient parameterization of 2D surface-impedance solutions for linear ferromagnetic materials (with Dima Abou El Nasser El Yafi, Ronan Perrussel, and Laurent Krähenbühl) International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 36(3), e3051, John Wiley & Sons, Inc., 2023/5

28. Semi-analytical solutions for the problem of the electric potential set in a borehole with a highly conductive casing (with Aralar Erdozain, Ignacio Muga, and Gabriel Pinochet) GEM - International Journal on Geomathematics, 13, 6 (2022)

27. On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials Z. Angew. Math. Phys. 72, 164 (2021) 

26. Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations (with Justine Labat, and Sébastien Tordeux) Wave Motion, Vol. 92, 102409 (2020)

25. Asymptotic Models and Impedance Conditions for Highly Conductive Sheets in the Time-Harmonic Eddy Current Model SIAM Journal on Applied Mathematics, Vol. 79, No. 6, pp. 2242-2264 (2019)

24. Equivalent boundary conditions for acoustic media with exponential densities. Application to the atmosphere in helioseismology (with Juliette Chabassier, and Marc Duruflé) Applied Mathematics and Computation, Vol. 361, pp. 177-197 (2019)

23. Boundary element method for 3D conductive thin layer in eddy current problems (with Olivier Chadebec, Mohammad Issa, Ronan Perrussel, and Jean-René Poirier) COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 38, No. 2, pp. 502-521 (2019)

22. Asymptotic Models for the Electric Potential across a Highly Conductive Casing (with Aralar Erdozain, and David Pardo) Computers & Mathematics with Applications, Vol. 76, No. 8, pp. 1975-2000 (2018)

21. Equivalent transmission conditions for the time-harmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet (with Kersten Schmidt, and Marc Duruflé) SIAM Journal on Applied Mathematics, Vol. 76, No. 3, pp. 1031-1052 (2016) 

20. Equivalent Robin Boundary Conditions for Acoustic and Elastic Media Mathematical Models and Methods in Applied Sciences, 26, 1531 (2016)

19. The Airfoil equation on near disjoint intervals: Approximate models and polynomial solutions (with Leandro Farina, and Marcos R.S. Ferreira) Journal of Computational and Applied Mathematics, 298, 97-104 (2016)

18. Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions (with Philippe Angot, and Gilles Carbou) Asymptotic Analysis, Vol. 96, No. 3-4, pp. 223-249 (2016) 

17. The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions (with Samuel Shannon, and Zohar Yosibash) Mathematical Methods in the Applied Sciences, Vol. 39, No. 17, pp. 4931-5112, (2016) 

16. Singular asymptotic solution along an elliptical edge for the Laplace equation in 3-D (with Samuel Shannon, and Zohar Yosibash) Engineering Fracture Mechanics, 134, pp. 174-185, (2015)

15. Subproblem Finite-Element Refinement of Inductors From Wire to Static and Dynamic Volume Models (with Patrick Dular, Christophe Geuzaine, and Laurent Krähenbühl) IEEE Transactions on Magnetics, 2015, 51 (3), pp. 7402704

14. Equivalent Boundary Conditions for Heterogeneous Acoustic Media (with Manuela Longoni de Castro, and Julien Diaz) Trends in Applied and Computational Mathematics, 2014, 15, (3), pp. 1-10

13. Progressive eddy current modeling via a finite element subproblem method (with Patrick Dular, Laurent Krähenbühl, and Christophe Geuzaine) International Journal of Applied Electromagnetics and Mechanics, 2014, 46, (2), pp. 341-348

12. Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method (with Patrick Dular, Christophe Geuzaine, Laurent Krähenbühl, and Ronan Perrussel) EEE Transactions on Magnetics, 2014, 50 (2), pp. 7000504

11. Corner asymptotics of the magnetic potential in the eddy-current model (with Monique Dauge, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, and Clair Poignard) Mathematical Methods in the Applied Sciences, 2014, 37 (13), pp. 1924-1955

10. Thin Layer Models For Electromagnetism (with Marc Duruflé, and Clair Poignard) Communications in Computational Physics, 16, 1 (2014) 213-238

9. Equivalent boundary conditions for an elasto-acoustic problem set in a domain with a thin layer ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (5), pp. 1431-1449

8. Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method (with Leandro Farina, and Paul A. Martin) Journal of Computational and Applied Mathematics, 2014, 269, pp. 118-131 

7. Upscaling for the Laplace problem using a discontinuous Galerkin method (with Hélène Barucq, Théophile Chaumont-Frelet, and Julien Diaz) Journal of Computational and Applied Mathematics, 240 (2013) 192-203

6. Eddy currents and corner singularities (with François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, Clair Poignard, and Damien Voyer) IEEE Transactions on Magnetics, 48, 2 (2012) 679-682 

5. Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields (with François Buret, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, Clair Poignard, and Damien Voyer) Journal of Microwaves, Optoelectronics and Electromagnetic Applications, 10, 1 (2011) 66-81

4. Time-harmonic Maxwell equations in biological cells. The differential form formalism to treat the thin layer (with Marc Duruflé, and Clair Poignard) Confluentes Mathematici 3 (2011), no. 2, 325-357

3. On the influence of the geometry on skin effect in electromagnetism (with Gabriel Caloz, Monique Dauge, and Erwan Faou) Computer Methods in Applied Mechanics and Engineering 200 (2011) 1053-1068

2. Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism (with Gabriel Caloz, and Monique Dauge) Journal of Mathematical Analysis and Applications 370, 2 (2010) 555-572

1. Comportement asymptotique à haute conductivité de l'épaisseur de peau en électromagnétisme (with Monique Dauge, and Erwan Faou) Comptes Rendus. Mathématique, 2010, 348 (7-8), pp. 385-390    

• Communications at international conferences

On a Skin Effect in Magnetic Conductors. In 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Lisbon, Portugal, June 2024

Efficient Asymptotic Models for 3D Linear Ferromagnetic Materials in Eddy Current Problems (Dima Abou El Nasser El Yafi, Victor Péron, Ronan Perrussel, and Laurent Krähenbühl). In The 8th international conference on “Advanced Computational Methods in Engineering” (ACOMEN2022), Liège, Belgium, August 2022

Asymptotic Models for Ferromagnetic Materials in Eddy Current Problem (Dima Abou El Nasser El Yafi, Victor Péron, and Ronan Perrussel). In 12th International Symposium on Electric and Magnetic Fields (EMF 2021), Marseille, France, July 2021

Equivalent point-source modeling of small obstacles for electromagnetic waves (with Justine Labat, and Sébastien Tordeux). In WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vienne, Austria, August 2019 

Boundary Element Method for Conductive Thin Layer in 3D Eddy Current Problems (Mohammad Issa, Jean-René Poirier, Olivier Chadebec, Victor Péron, and Ronan Perrussel). In Symposium of the International Association for Boundary Element Methods (IABEM 2018), Paris, France, June 2018 

Asymptotic modeling of the multiple electromagnetic wave scattering by small spheres (with Justine Labat, and Sébastien Tordeux). In ECCM-ECFD 2018 - 6th European Conference on Computational Mechanics and 7th European Conference on Computational Fluid Dynamics, Glasgow, Ecosse, United Kingdom, June 2018

Foldy-Lax Model for the Scattering Problem in Electromagnetism (with Justine Labat, and Sébastien Tordeux). In 5th International Congress on Multiphysics, Multiscale and Optimization Problems, Bilbao, Spain, May 2018

Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer (with Mohammad Issa, and Ronan Perrussel). In ACOMEN 2017 - 7th International Conference on Advanced COmputational Methods in ENgineering, Ghent, Belgium, September 2017 

Equivalent boundary conditions for acoustic media with exponential densities (with Juliette Chabassier, and Marc Duruflé). In Eighth Singular Days, Nancy, France, June 2016 

Equivalent absorbing boundary conditions for heterogeneous acoustic media (with Manuela Castro, and Julien Diaz). In ICOSAHOM 2016 - International Conference on Spectral and High-Order Methods, volume 15, pages 301–310, Rio de Janeiro, Brazil, June 2016 

Asymptotic expansion for the magnetic potential in the eddy-current problem (Ronan Perrussel, Clair Poignard, Victor Péron, Ruth Sabariego, Patrick Dular, and Laurent Krähenbühl). In 10th EMF, Lyon, France, April 2016 

Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing (with Aralar Erdozain). In Waves 2015, Karlsruhe, Germany, July 2015.

Efficient delta-parametrization of 2D Surface-Impedance solutions (Patrick Dular, Victor Péron, Laurent Krähenbühl, and Christophe Geuzaine). In Compumag 2015, page 442, Montréal, Canada, June 2015

Impédances de surface en 2D : comparaison de méthodes de paramétrisation en δ (Laurent Krähenbühl, Patrick Dular, Victor Péron, Ronan Perrussel, Ruth Sabariego, and Clair Poignard). In M. Féliachi, editor, Numélec 2015, Nantes, France, June 2015. Université de Nantes - IREENA

Subproblem Finite Element Refinement of Inductors from Wire to Static and Dynamic Volume Models (Patrick Dular, Victor Péron, Laurent Krähenbühl, and Christophe Geuzaine). In IEEE CEFC, page 4, Annecy, France, May 2014 

Asymptotic delta-Parametrization of Surface-Impedance Solutions (Laurent Krähenbühl, Patrick Dular, Victor Péron, Ronan Perrussel, Clair Poignard, and Ruth Sabariego). In IEEE CEFC, Annecy, France, May 2014

Progressive Eddy Current modeling via a finite element subproblem method (Patrick Dular, Victor Péron, Laurent Krähenbühl, and Christophe Geuzaine). In ISEF, Ohrid, Macedonia, September 2013

Corner Asymptotics of the Magnetic Potential in the Eddy-Current Model (with Monique Dauge, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, and Clair Poignard). In JSA 2013 - Journées Singulières Augmentées, Rennes, France, August 2013

Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method (Patrick Dular, Victor Péron, Ronan Perrussel, Laurent Krähenbühl, and Christophe Geuzaine). In Compumag 2013, page 866, Budapest, Hungary, June 2013

Equivalent Conditions for Elasto-Acoustics (with Julien Diaz). In Waves 2013 - 11th International Conference on Mathematical and Numerical Aspects of Waves, pages 345–346, Gammarth, Tunisia, June 2013

Asymptotic Models for an Elasto-Acoustic Problem with a Thin Layer. In Twelfth International Conference Zaragoza-Pau on Mathematics, Jaca, Spain, September 2012

Asymptotic Description of the Magnetic Potential near a Corner Singularity in the Bidimensional Eddy-Current Problem(with Monique Dauge, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, and Clair Poignard). In WCCM 2012, Sao Paulo, Brazil, July 2012 

Impedance condition close to a corner in eddy-current problems (Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, and Clair Poignard). In ACOMEN, Liège, Belgium, November 2011 

2D electrostatic problems with rounded corners (François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, Clair Poignard, and Damien Voyer). In Compumag 2011, Sydney, Australia, July 2011

Eddy currents and corner singularities (François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, Clair Poignard, and Damien Voyer) In Compumag 2011, Sydney, Australia, July 2011

Thin Layer Models for Electromagnetism (with Marc Duruflé, and Clair Poignard).  In Waves 2011: The 10th International Conference on Mathematical and Numerical Aspects of Waves, Vancouver, Canada, July 2011

Treatment of rounded and sharp corners in the numerical modeling of 2D electrostatic fields (Laurent Krähenbühl, François Buret, Ronan Perrussel, Damien Voyer, Patrick Dular, Victor Péron, and Clair Poignard). In MOMAG, page CD, Vitoria, Brazil, August 2010

A Transmission Problem in Electromagnetism with a Singular Interface (with Gabriel Caloz, Monique Dauge, Erwan Faou, and Clair Poignard). In 6th Singular Days on Asymptotic Methods for PDEs, Berlin, Germany, April 2010

Skin-Effect Description in Electromagnetism with a Multiscale Asymptotic Expansion (Victor Péron, Gabriel Caloz, and Monique Dauge). In WAVES 2009 The 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Pau, France, June 2009

• Publication list of Victor Péron available on HAL: here