Victor Péron

Responsabilités

Expert pour l'International Science Council 

Expert pour le Hcéres 

Membre de la commission des emplois de recherche, Inria Bordeaux – Sud-Ouest, 2018-2023

Responsable de Cursus Master en Ingénierie, UPPA, 2017-2022 

Membre de la Commission Jeunes Chercheurs, Inria Bordeaux – Sud-Ouest, 2011-2018

Compétences

• Modélisation mathématique
• Analyse numérique
• Calcul scientifique 
• Transfert vers l'électromagnétisme

Thèmes de recherche

Thèmes

Modélisation mathématique de phénomènes complexes multi-échelles en lien avec la physique et la biologie 

Perturbations singulières : analyse asymptotique, couches limites, couches minces, petits défauts, conditions d’impédances, conditions absorbantes, asymptotiques spectrales

Traitement de singularités géométriques dans des systèmes elliptiques : construction d’asymptotiques de coins et d’arêtes, fonctions singulières, coefficients de singularités

Simulation numérique : méthode des éléments finis d'ordre élevé, méthodes spectrales

Méthodes numériques pour des équations intégrales singulières : méthodes spectrales, solutions polynomiales, méthode des éléments finis de frontière

Domaines d'application

Electromagnétisme : calcul de courants de Foucault, modélisation de cellules biologiques, blindage électromagnétique 

Mécanique, acoustique, sismologie, diffraction

Encadrement

• Encadrement de thèses

Thèse de Aralar Erdozain, 2013-2016

Thèse de Justine Labat, 2016-2019

Thèse de Dima Abou, 2020-2023

• Enseignements en Master, parcours Mathématiques, Modélisation et Simulation

Analyse numérique 

Analyse asymptotique

Projets

Projets européens, ANR et I-SITE :

• Projet I-SITE E2S UPPA. PhD project 2020: Numerical resolution of magnetic diffusion issues in ferromagnetic materials. https://e2s-uppa.eu 

• Projet MATHROCKS (Marie Curie RISE action), financé par le programme européen H2020 (2018-2023). https://cordis.europa.eu/project/id/777778

• Projet GEAGAM (Marie Curie RISE action), financé par le programme européen H2020 (2015-2017). https://cordis.europa.eu/project/id/644202

• Projet ANR ARAMIS, Analyse de méthodes asymptotiques robustes pour la simulation numérique en mécanique (2012-2017). https://anr.fr/Projet-ANR-12-BS01-0021

• Projet HPC-GA (High Performance Computing for Geophysics Applications), projet FP7-295217 (Marie Curie Action), 2012-2014.

• Partenariat Hubert Curien franco-allemand, programme Procope 2012. https://www.campusfrance.org/fr/procope 

Projets interdisciplinaires sur des problèmes de modélisation numérique en électromagnétisme pour la conception de systèmes industriels. En collaboration avec des chercheurs dans les domaines du génie électrique et de l'électromagnétisme, nous développons des méthodes numériques pour la résolution de problèmes de perturbation et le traitement de singularités géométriques.    

Equipe projet Magique 3D, INRIA Bordeaux Sud-Ouest, équipe projet commune (Inria, UPPA, LMAP), 2010-2019.

Partenariats académiques internationaux :

Basque Center for Applied Mathematics 

Ben-Gurion University of the Negev

Colorado School of Mines

Ikerbasque

KU Leuven

Pontificia Universidad Católica de Valparaíso

Technische Universität Berlin

Tel Aviv University

Universidade Federal do Rio Grande do Sul

University of Liège

University of the Basque Country 

Publications

• Article en révision

Uniform estimates for transmission problems in electromagnetism with high contrast in magnetic permeabilities SIAM Journal on Mathematical Analysis

• Articles dans des revues à comité de lecture

33. Asymptotic modelling of a skin effect in magnetic conductors SIAM Journal on Applied Mathematics (accepté)

32. The Airfoil Integral Equation over Disjoint Intervals: Analytic Solutions and Asymptotic Expansions (avec Leandro Farina et 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 (avec Khaled Boutarene et Sami Galleze), SeMA Journal, 1-34, 2024

30. Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials (avec 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 (avec Dima Abou El Nasser El Yafi, Ronan Perrussel et 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 (avec Aralar Erdozain, Ignacio Muga et 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 (avec Justine Labat et 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 (avec Juliette Chabassier et 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 (avec Olivier Chadebec, Mohammad Issa, Ronan Perrussel et 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 (avec Aralar Erdozain et 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 (avec Kersten Schmidt et 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 (avec Leandro Farina et 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 (avec Philippe Angot et 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 (avec Samuel Shannon et 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 (avec Samuel Shannon et 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 (avec Patrick Dular, Christophe Geuzaine et Laurent Krähenbühl) IEEE Transactions on Magnetics, 2015, 51 (3), pp. 7402704

14. Equivalent Boundary Conditions for Heterogeneous Acoustic Media (avec Manuela Longoni de Castro et 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 (avec Patrick Dular, Laurent Krähenbühl et 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 (avec Patrick Dular, Christophe Geuzaine, Laurent Krähenbühl et Ronan Perrussel) IEEE Transactions on Magnetics, 2014, 50 (2), pp. 7000504

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

10. Thin Layer Models For Electromagnetism (avec Marc Duruflé et 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 (avec Leandro Farina et 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 (avec Hélène Barucq, Théophile Chaumont-Frelet et Julien Diaz) Journal of Computational and Applied Mathematics, 240 (2013) 192-203

6. Eddy currents and corner singularities (avec François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, Clair Poignard et 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 (avec François Buret, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel, Clair Poignard et 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 (avec Marc Duruflé et Clair Poignard) Confluentes Mathematici 3 (2011), no. 2, 325-357

3. On the influence of the geometry on skin effect in electromagnetism (avec Gabriel Caloz, Monique Dauge et 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 (avec Gabriel Caloz et 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 (avec Monique Dauge et Erwan Faou) Comptes Rendus. Mathématique, 2010, 348 (7-8), pp. 385-390    

• Communications dans des congrès internationaux

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 (avec Justine Labat et 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 (avec Justine Labat et 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 (avec Justine Labat et 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 (avec Mohammad Issa et 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 (avec Juliette Chabassier et Marc Duruflé). In Eighth Singular Days, Nancy, France, June 2016 

Equivalent absorbing boundary conditions for heterogeneous acoustic media (avec Manuela Castro et 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 (avec 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 (avec Monique Dauge, Patrick Dular, Laurent Krähenbühl, Ronan Perrussel et 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 (avec 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 (avec Marc Duruflé et 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 (avec Gabriel Caloz, Monique Dauge, Erwan Faou et 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

• Liste de publications de Victor Péron disponible sur HAL : ici