Victor Péron

Responsabilities

Member of the pool of the High Council for Evaluation of Research and Higher Education (Hcéres) experts 

Member of commissions at INRIA Bordeaux - South West, since 2011

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

Skills

• Modeling
• Analysis
• Scientific computing 
• Transfer towards electromagnetism and mechanics

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

Dima Abou El Nasser El Yafi, 2020-2023 

Justine Labat, 2016-2019. Co-advisor with Sébastien Tordeux (UPPA)

Aralar Erdozain, 2013-2016. Co-advisor with Hélène Barucq (INRIA) and David Pardo (UPV/EHU)

• Teaching in Master degree

Numerical analysis of partial differential equations

Asymptotic methods 

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

• Articles in peer reviewed journals 

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

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

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 (with Clair Poignard) 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)

  Asymptotic Models for Acoustic, Elastic and Electromagnetic Media. Corner and Edge Asymptotics for Elliptic Systems Habilitation à diriger des recherches, Université de Pau et des Pays de l'Adour, 2017

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 (with Julien Diaz) 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,  Christophe Geuzaine, and Laurent Krähenbühl) 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) IEEE 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    

  Modélisation mathématique de phénomènes électromagnétiques dans des matériaux à fort contraste Thèse, Université de Rennes 1, 2009 

• Publication list of Victor Péron available on HAL here