Victor Péron

Aralar Erdozain, Ignacio Muga, Victor Péron, Gabriel Pinochet. Semi-analytical solutions for the problem of the electric potential set in a borehole with a highly conductive casing. GEM - International Journal on Geomathematics, Springer, In press. ⟨hal-03373028⟩

Victor Péron, Clair Poignard. On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, In press, ⟨10.1007/s00033-021-01596-6⟩. ⟨hal-02968889⟩

Justine Labat, Victor Péron, Sébastien Tordeux. Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations. Wave Motion, Elsevier, 2020, ⟨10.1016/j.wavemoti.2019.102409⟩. ⟨hal-02139201v2⟩

Victor Péron. Asymptotic Models and Impedance Conditions for Highly Conductive Sheets in the Time-Harmonic Eddy Current Model. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2019, 79 (6), pp. 2242--2264. ⟨10.1137/17M1152498⟩. ⟨hal-01505612v2⟩

Juliette Chabassier, Marc Duruflé, Victor Péron. Equivalent boundary conditions for acoustic media with exponential densities. Application to the atmosphere in helioseismology. Applied Mathematics and Computation, Elsevier, 2019, 361, pp.177-197. ⟨10.1016/j.amc.2019.04.065⟩. ⟨hal-02320521⟩

Mohammad Issa, Jean-René Poirier, Olivier Chadebec, Victor Péron, Ronan Perrussel. Boundary element method for 3D conductive thin layer in eddy current problems. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2019, 38 (2), pp.502-521. ⟨10.1108/COMPEL-09-2018-0348⟩. ⟨hal-02320511⟩

Aralar Erdozain, Victor Péron, David Pardo. Asymptotic Models for the Electric Potential across a Highly Conductive Casing. Computers & Mathematics with Applications, Elsevier, 2018. ⟨hal-01720235v2⟩

Leandro Farina, Marcos Ferreira, Victor Péron. The Airfoil equation on near disjoint intervals: Approximate models and polynomial solutions. Journal of Computational and Applied Mathematics, Elsevier, 2016, ⟨10.1016/j.cam.2015.11.024⟩. ⟨hal-01253227⟩

Samuel Shannon, Victor Péron, Zohar Yosibash. The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions. Mathematical Methods in the Applied Sciences, Wiley, 2016, ⟨10.1002/mma.3562⟩. ⟨hal-01111593⟩

Julien Diaz, Victor Péron. Equivalent Robin Boundary Conditions for Acoustic and Elastic Media. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2016. ⟨hal-01254194⟩

Philippe Angot, Gilles Carbou, Victor Péron. Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions. Asymptotic Analysis, IOS Press, 2016, 96 (3-4), pp.223-249. ⟨10.3233/ASY-151336⟩. ⟨hal-01184429⟩

Victor Péron, Kersten Schmidt, Marc Duruflé. Equivalent transmission conditions for the time-harmonic Maxwell equations in 3D for a medium with a highly conductive thin sheet. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2016, 76 (3), pp.1031--1052. ⟨10.1137/15M1012116⟩. ⟨hal-01260111v2⟩

Samuel Shannon, Victor Péron, Zohar Yosibash. Singular asymptotic solution along an elliptical edge for the Laplace equation in 3-D. Engineering Fracture Mechanics, Elsevier, 2015, pp.16. ⟨hal-01097676⟩

Patrick Dular, Victor Péron, Laurent Krähenbühl, Christophe Geuzaine. Subproblem Finite-Element Refinement of Inductors From Wire to Static and Dynamic Volume Models. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2015, 51 (3), pp.7402704. ⟨10.1109/TMAG.2014.2360232⟩. ⟨hal-01153089⟩

Patrick Dular, Victor Péron, Ronan Perrussel, Laurent Krähenbühl, Christophe Geuzaine. Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2014, 50 (2), pp.7000504. ⟨10.1109/TMAG.2013.2284338⟩. ⟨hal-00869987⟩

Manuela Castro, Julien Diaz, Victor Péron. Equivalent Boundary Conditions for Heterogeneous Acoustic Media. Tendências em Matemática Aplicada e Computacional, Sociedade Brasileira de Matemática Aplicada e Computacional, 2014, 15 (3), pp.301-310. ⟨10.5540/tema.2014.015.03.0301⟩. ⟨hal-01110728⟩

Victor Péron. Equivalent boundary conditions for an elasto-acoustic problem set in a domain with a thin layer. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (5), pp.1431-1449. ⟨10.1051/m2an/2014002⟩. ⟨hal-00925643⟩

Leandro Farina, Paul A. Martin, Victor Péron. Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method. Journal of Computational and Applied Mathematics, Elsevier, 2014, 269, pp.118-131. ⟨10.1016/j.cam.2014.03.014⟩. ⟨hal-00971497⟩

Patrick Dular, Victor Péron, Laurent Krähenbühl, Christophe Geuzaine. Progressive eddy current modeling via a finite element subproblem method. International Journal of Applied Electromagnetics and Mechanics, IOS Press 2014, 46 (2), pp.341-348. ⟨10.3233/JAE-141943⟩. ⟨hal-01071480⟩

Marc Duruflé, Victor Péron, Clair Poignard. Thin Layer Models For Electromagnetism. Communications in Computational Physics, Global Science Press, 2014, 16, pp.213-238. ⟨10.4208/cicp.120813.100114a⟩. ⟨hal-00918634⟩

Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, et al.. Corner asymptotics of the magnetic potential in the eddy-current model. Mathematical Methods in the Applied Sciences, Wiley, 2014, 37 (13), pp.1924-1955. ⟨10.1002/mma.2947⟩. ⟨hal-00779067⟩

Hélène Barucq, Théophile Chaumont-Frelet, Julien Diaz, Victor Péron. Upscaling for the Laplace problem using a discontinuous Galerkin method. Journal of Computational and Applied Mathematics, Elsevier, 2012, ⟨10.1016/j.cam.2012.05.025⟩. ⟨hal-00757098⟩

François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, et al.. Eddy currents and corner singularities. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2012, 48 (2), pp.679-682. ⟨10.1109/TMAG.2011.2175378⟩. ⟨inria-00614033v2⟩

Laurent Krähenbühl, François Buret, Ronan Perrussel, Damien Voyer, Patrick Dular, et al.. Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields. Journal of Microwaves, Optoelectronics and Electromagnetic Applications, São Caetano do Sul, 2011, 10 (1), pp.66-81. ⟨10.1590/S2179-10742011000100008⟩. ⟨hal-00515107v3⟩

Marc Duruflé, Victor Péron, Clair Poignard. Time-harmonic Maxwell equations in biological cells. The differential form formalism to treat the thin layer. Confluentes Mathematici, Institut Camille Jordan et Unité de Mathématiques Pures et Appliquées, 2011, 3 (2), pp.325-357. ⟨10.1142/S1793744211000345⟩. ⟨hal-00651510⟩

Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. On the influence of the geometry on skin effect in electromagnetism. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2011, 200 (9-12), pp.1053-1068. ⟨10.1016/j.cma.2010.11.011⟩. ⟨hal-00503170v2⟩

Gabriel Caloz, Monique Dauge, Victor Péron. Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. Journal of Mathematical Analysis and Applications, Elsevier, 2010, 370 (2), pp.555-572. ⟨10.1016/j.jmaa.2010.04.060⟩. ⟨hal-00422315v2⟩

Monique Dauge, Erwan Faou, Victor Péron. Comportement asymptotique à haute conductivité de l'épaisseur de peau en électromagnétisme. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2010, 348 (7-8), pp.385-390. ⟨10.1016/j.crma.2010.01.002⟩. ⟨hal-00423607⟩

Justine Labat, Victor Péron, Sébastien Tordeux. Equivalent point-source modeling of small obstacles for electromagnetic waves. WAVES 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienne, Austria. ⟨hal-02278032⟩

Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic models for the multiple electromagnetic wave scattering problem by small obstacles. Journées Ondes Sud-Ouest (JOSO), Mar 2019, Le Barp, France. ⟨hal-02071888⟩

Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic modeling of the multiple electromagnetic wave scattering by small spheres. ECCM-ECFD 2018 - 6th European Conference on Computational Mechanics and 7th European Conference on Computational Fluid Dynamics, Jun 2018, Glasgow, Ecosse, United Kingdom. ⟨hal-01834217⟩

Justine Labat, Victor Péron, Sébastien Tordeux. Foldy-Lax Model for the Scattering Problem in Electromagnetism. 5th International Congress on Multiphysics, Multiscale and Optimization Problems, May 2018, Bilbao, Spain. ⟨hal-01895526⟩

Mohammad Issa, Victor Péron, Ronan Perrussel. Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer. ACOMEN 2017 - 7th International Conference on Advanced COmputational Methods in ENgineering, Sep 2017, Ghent, Belgium. ⟨hal-01679683⟩

Ronan Perrussel, Clair Poignard, Victor Péron, Ruth Sabariego, Patrick Dular, et al.. Asymptotic expansion for the magnetic potential in the eddy-current problem. 10th EMF, Apr 2016, Lyon, France. ⟨hal-01393362⟩

Hélène Barucq, Aralar Erdozain, David Pardo, Victor Péron. Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing. WONAPDE 2016 - Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Jan 2016, Concepción, Chile. ⟨hal-01403347⟩

Hélène Barucq, Aralar Erdozain, David Pardo, Victor Péron. Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing. V-MAD6 - Valparaíso’s Mathematics and its Applications Days, Jan 2016, Valparíso, Chile. ⟨hal-01692286⟩

Juliette Chabassier, Marc Duruflé, Victor Péron. Equivalent boundary conditions for acoustic media with exponential densities. Eighth Singular Days , Jun 2016, Nancy, France. ⟨hal-01691768⟩

Manuela Castro, Julien Diaz, Victor Péron. Equivalent absorbing boundary conditions for heterogeneous acoustic media . ICOSAHOM 2016 - International Conference on Spectral and High-Order Methods, Jun 2016, Rio de Janeiro, Brazil. pp.301-310, ⟨10.1590/S2179-84512014000300007⟩. ⟨hal-01691552⟩

Hélène Barucq, Juliette Chabassier, Marc Duruflé, Victor Péron. On a boundary layer phenomenon in acoustic media. WONAPDE 2016 - 5th Chilean Workshop on Numerical Analysis of Partial Differential Equations, Jan 2016, Concepción, Chile. pp.1-42. ⟨hal-01691616⟩

Hélène Barucq, Juliette Chabassier, Marc Duruflé, Victor Péron. Description of a boundary layer phenomenon in acoustic media with a multi-scale expansion. Application. V-MAD 2016 - 6th Valparaíso’s Mathematics and its Applications Days, Jan 2016, Valparaiso, Chile. pp.1-42. ⟨hal-01691684⟩

Laurent Krähenbühl, Patrick Dular, Victor Péron, Ronan Perrussel, Ruth Sabariego, et al.. Impédances de surface en 2D : comparaison de méthodes de paramétrisation en δ. Numélec 2015, Université de Nantes - IREENA, Jun 2015, Nantes, France. ⟨hal-01199546⟩

Laurent Krähenbühl, Patrick Dular, Victor Péron, Ronan Perrussel, Ruth Sabariego, et al.. Efficient delta-parametrization of 2D Surface-Impedance solutions. Compumag 2015, Jun 2015, Montréal, Canada. pp.442. ⟨hal-01174983⟩

Julien Diaz, Victor Péron. Equivalent Robin Boundary Conditions for Acoustic and Elastic Media. First Inria-Mexico Workshop in Applied Mathematics and Computer Science, Jun 2015, Mexico City, Mexico. ⟨hal-01254193⟩

Aralar Erdozain, Victor Péron. Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing. Waves 2015, Jul 2015, Karlsruhe, Germany. ⟨hal-01196181⟩

Julien Diaz, Victor Péron. Thin Layer Models for Geophysical Applications. Second Russian-French Conference on Computational Geophysics, Sep 2014, Novosibirsk, Russia. ⟨hal-03172030⟩

Laurent Krähenbühl, Patrick Dular, Victor Péron, Ronan Perrussel, Clair Poignard, et al.. Asymptotic delta-Parametrization of Surface-Impedance Solutions. IEEE CEFC, May 2014, Annecy, France. ⟨hal-00959750⟩

Aralar Erdozain, David Pardo, Victor Péron. Fast Simulation of Through-casing Resistivity Measurements Using Semi-analytical Asymptotic Models. Part 1: Accuracy Study. EAGE Workshop on High Performance Computing for Upstream, Sep 2014, Crete, Greece. ⟨hal-01096897⟩

Patrick Dular, Victor Péron, Laurent Krähenbühl, Christophe Geuzaine. Subproblem Finite Element Refinement of Inductors from Wire to Static and Dynamic Volume Models. IEEE CEFC, May 2014, Annecy, France. pp.4. ⟨hal-00959756⟩

Patrick Dular, Victor Péron, Laurent Krähenbühl, Christophe Geuzaine. Progressive Eddy Current modeling via a finite element subproblem method. ISEF, Sep 2013, Ohrid, Macedonia. ⟨hal-00917282⟩

Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, et al.. Corner Asymptotics of the Magnetic Potential in the Eddy-Current Model. JSA 2013 - Journées Singulières Augmentées, Aug 2013, Rennes, France. ⟨hal-00931735⟩

Patrick Dular, Victor Péron, Ronan Perrussel, Laurent Krähenbühl, Christophe Geuzaine. Perfect Conductor and Impedance Boundary Condition Corrections via a Finite Element Subproblem Method. Compumag 2013, Jun 2013, Budapest, Hungary. pp.866. ⟨hal-00807078⟩

Julien Diaz, Victor Péron. Equivalent Conditions for Elasto-Acoustics. Waves 2013 - 11th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2013, Gammarth, Tunisia. pp.345-346. ⟨hal-00842571⟩

Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, et al.. Asymptotic Description of the Magnetic Potential near a Corner Singularity in the Bidimensional Eddy-Current Problem. WCCM 2012, Jul 2012, São Paulo, Brazil. ⟨hal-00768026v2⟩

Victor Péron. Construction and Analysis of Equivalent Models for Fluid-Structure Coupling with a Thin Layer. Aquitaine-Euskadi Workshop on Applied Mathematics, Jun 2012, Bilbao, Spain. ⟨hal-00768032⟩

Victor Péron. Asymptotic Models for an Elasto-Acoustic Problem with a Thin Layer. Twelfth International Conference Zaragoza-Pau on Mathematics, Sep 2012, Jaca, Spain. ⟨hal-00768042⟩

Victor Péron. Equivalent Conditions for an Elasto-Acoustic Problem with a Thin Layer. First Russian-French Conference on Mathematical Geophysics, Mathematical Modeling in Continuum Mechanics and Inverse Problems, Jun 2012, Biarritz, France. ⟨hal-00768036⟩

Victor Péron. Equivalent Conditions for an Elasto-Acoustic Problem with a Thin Layer. Workshop HPC-GA, Jul 2012, Porto Alegre, Brazil. ⟨hal-00768041⟩

Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, Ronan Perrussel, et al.. Impedance condition close to a corner in eddy-current problems. ACOMEN, Nov 2011, Liège, Belgium. pp.CD. ⟨hal-00727197⟩

François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, et al.. Eddy currents and corner singularities. Compumag 2011, Jul 2011, Sydney, Australia. pp.électronique. ⟨hal-00549380⟩

Marc Duruflé, Victor Péron, Clair Poignard. Thin Layer Models for Electromagnetism. Waves 2011: The 10th International Conference on Mathematical and Numerical Aspects of Waves, Jul 2011, Vancouver, Canada. ⟨hal-00847009⟩

François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, et al.. 2D electrostatic problems with rounded corners. Compumag 2011, Jul 2011, Sydney, Australia. pp.électronique. ⟨hal-00549384v2⟩

Victor Péron. Modélisation de phénomènes électromagnétiques dans des milieux à fort contraste. Séminaire Analyse Appliquée, LATP, CMI, Université de Provence, Jun 2010, Marseille, France. ⟨inria-00528534⟩

Victor Péron. On the Influence of the Geometry on Skin Effect in Electromagnetism. Rencontres de Mathématiques UPPA-UPV, Sep 2010, Anglet, France. ⟨inria-00528308⟩

Victor Péron. Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity. Groupe de Travail HMS, LJLL, Université de Paris 6, Jan 2010, Paris, France. ⟨inria-00528535⟩

Laurent Krähenbühl, François Buret, Ronan Perrussel, Damien Voyer, Patrick Dular, et al.. Treatment of rounded and sharp corners in the numerical modeling of 2D electrostatic fields. MOMAG, Aug 2010, Vitória, Brazil. pp.CD. ⟨hal-00502238v4⟩

Victor Péron. Sur l'effet de peau en électromagnétisme. Groupe de Travail Numérique, Orsay, Jan 2010, Orsay, France. ⟨inria-00528536⟩

Victor Péron, Marc Duruflé, Clair Poignard. Conditions de transmission approchées en électromagnétisme pour des milieux cellulaires. 40 ème CANUM Congrès National d'Analyse Numérique, May 2010, Carcans-Maubuisson, France. ⟨inria-00528532⟩

Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron, Clair Poignard. A Transmission Problem in Electromagnetism with a Singular Interface. 6th Singular Days on Asymptotic Methods for PDEs, Apr 2010, Berlin, Germany. ⟨inria-00528523⟩

Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity. WONAPDE 2010 Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, Jan 2010, Concepcion, Chile. ⟨inria-00528519⟩

Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion. Asymptotic methods, mechanics and other applications, Aug 2009, Rennes, France. ⟨inria-00528527⟩

Victor Péron, Gabriel Caloz, Monique Dauge. Skin-Effect Description in Electromagnetism with a Scaled Asymptotic Expansion. WAVES 2009 The 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Jun 2009, Pau, France. ⟨inria-00528514⟩

Justine Labat, Victor Péron, Sébastien Tordeux. The multiple electromagnetic wave scattering by small spheres. Seminar of RWTH Aachen University, Dec 2018, Aachen, Germany. 2018. ⟨hal-01954996⟩

Justine Labat, Victor Péron, Sébastien Tordeux. On the scattering of electromagnetic waves by small bodies. 2017. ⟨hal-01677560⟩

Victor Péron. Asymptotic expansion for the magnetic potential in the eddy current problem : the ferromagnetic case. 2015. ⟨hal-01253971⟩

Justine Labat, Victor Péron, Sébastien Tordeux. Asymptotic Modeling of the Electromagnetic Scattering by Small Spheres Perfectly Conducting. [Research Report] RR-9169, Université de Pau et des Pays de l'Adour; Inria Bordeaux Sud-Ouest; LMAP UMR CNRS 5142. 2018. ⟨hal-01762625v2⟩

Hélène Barucq, Aralar Erdozain, Victor Péron. Impedance Transmission Conditions for the Electric Potential across a Highly Conductive Casing. [Research Report] RR-8998, Inria Bordeaux Sud-Ouest. 2016. ⟨hal-01412369⟩

Juliette Chabassier, Marc Duruflé, Victor Péron. Equivalent boundary conditions for acoustic media with exponential densities. Application to the atmosphere in helioseismology. [Research Report] RR-8954, Inria Bordeaux Sud-Ouest; Université de Pau et des Pays de l'Adour; Université de Bordeaux. 2016. ⟨hal-01371580⟩

Laurent Krähenbühl, Victor Péron, Ronan Perrussel, Clair Poignard. On the asymptotic expansion of the magnetic potential in eddy current problem: a practical use of asymptotics for numerical purposes. [Research Report] RR-8749, INRIA Bordeaux; INRIA. 2015. ⟨hal-01174009⟩

Victor Péron. Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer. [Research Report] RR-8163, INRIA. 2013, pp.32. ⟨hal-00763181v2⟩

Victor Péron, Clair Poignard. Approximate transmission conditions for time-harmonic Maxwell equations in a domain with thin layer. [Research Report] RR-6775, INRIA. 2008, pp.37. ⟨inria-00347971v3⟩

Victor Péron. Modélisation mathématique de phénomènes électromagnétiques dans des matériaux à fort contraste. Mathématiques [math]. Université Rennes 1, 2009. Français. ⟨tel-00421736⟩

Victor Péron. Asymptotic Models for Acoustic, Elastic and Electromagnetic Media. Corner and Edge Asymptotics for Elliptic Systems. Analysis of PDEs [math.AP]. Université de Pau et des Pays de l'Adour, 2017. ⟨tel-01660795⟩