Semi-analytical solutions for the problem of the electric potential set in a borehole with a highly conductive casing

Autor: Aralar Erdozain, Ignacio Muga, Victor Péron, Gabriel Pinochet

Publikováno v: GEM-International Journal on Geomathematics
GEM-International Journal on Geomathematics, 2022, 13 (6), ⟨10.1007/s13137-022-00197-3⟩

International audience; Highly conductive thin casings pose a great challenge in the numerical simulation of well-logging instruments. Witty asymptotic models may replace the presence of casings by impedance transmission conditions in those numerical

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d06a35d2354b05ab71a98ae364ff7549
https://hal.archives-ouvertes.fr/hal-03373028/document

Equivalent boundary conditions for acoustic media with exponential densities. Application to the atmosphere in helioseismology

Autor: Victor Péron, Juliette Chabassier, Marc Duruflé

Publikováno v: Applied Mathematics and Computation
Applied Mathematics and Computation, Elsevier, 2019, 361, pp.177-197. ⟨10.1016/j.amc.2019.04.065⟩
Applied Mathematics and Computation, 2019, 361, pp.177-197. ⟨10.1016/j.amc.2019.04.065⟩

International audience; We present equivalent boundary conditions and asymptotic models for the solution of a transmission problem set in a domain which represents the sun and its atmosphere. This problem models the propagation of an acoustic wave in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d53448b9376c1e621d4a90437d45e264
https://hal.inria.fr/hal-02320521/document

Boundary element method for 3D conductive thin layer in eddy current problems

Autor: Victor Péron, Olivier Chadebec, Mohammad Issa, Jean René Poirier, Ronan Perrussel

Publikováno v: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2019, 38 (2), pp.502-521. ⟨10.1108/COMPEL-09-2018-0348⟩
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⟩

Purpose Thin conducting sheets are used in many electric and electronic devices. Solving numerically the eddy current problems in presence of these thin conductive sheets requires a very fine mesh which leads to a large system of equations, and it be

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::701452e3ee7bb422f8cdf6bf18fe63d1
https://inria.hal.science/hal-02320511/document

Modélisation par sources ponctuelles multipolaires équivalentes de petites sphères pour le calcul rapide et précis de la diffraction des ondes électromagnétiques

Autor: Sébastien Tordeux, Justine Labat, Victor Péron

Publikováno v: Wave Motion
Wave Motion, Elsevier, 2020, ⟨10.1016/j.wavemoti.2019.102409⟩
Wave Motion, 2020, ⟨10.1016/j.wavemoti.2019.102409⟩

International audience; In this paper, we develop reduced models to approximate the solution of the electromagnetic scattering problem in an unbounded domain which contains a small perfectly conducting sphere. Our approach is based on the method of m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5bb979b03e347b45007a8c8f8e04411
https://doi.org/10.1016/j.wavemoti.2019.102409

The Laplace equation in 3D domains with cracks: dual singularities with log terms and extraction of corresponding edge flux intensity functions

Autor: Zohar Yosibash, Victor Péron, Samuel Shannon

Publikováno v: Mathematical Methods in the Applied Sciences. 39:4951-4963

The singular solution of the Laplace equation with a straight crack is represented by a series of eigenpairs, shadows, and their associated edge flux intensity functions (EFIFs). We address the computation of the EFIFs associated with the integer eig

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8b11c532933f947ebc394cf16ade410
https://doi.org/10.1002/mma.3562