Mathematical aspects of variational boundary integral equations for time dependent wave propagation

Patrick Joly; Jerónimo Rodríguez

doi:10.1216/JIE-2017-29-1-137

Mathematical aspects of variational boundary integral equations for time dependent wave propagation

Patrick Joly
, Jerónimo Rodríguez

University Santiago de Compostela

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this work, we provide a review of recent results on the mathematical analysis of space-time variational bilinear forms associated to transient boundary integral operators for the wave equation. Most of the results will be proven directly in the time domain and compared to similar results (most of them obtained in the Laplace domain) that can be found in the literature.

langue originale	Anglais
Pages (de - à)	137-187
Nombre de pages	51
journal	Journal of Integral Equations and Applications
Volume	29
Numéro de publication	1
Les DOIs	https://doi.org/10.1216/JIE-2017-29-1-137
état	Publié - 1 janv. 2017

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abstract = "In this work, we provide a review of recent results on the mathematical analysis of space-time variational bilinear forms associated to transient boundary integral operators for the wave equation. Most of the results will be proven directly in the time domain and compared to similar results (most of them obtained in the Laplace domain) that can be found in the literature.",

keywords = "BEM-FEM coupling, Coercivity, Integral equations, Retarded potentials, Stability, Transient wave equation",

author = "Patrick Joly and Jer{\'o}nimo Rodr{\'i}guez",

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KW - BEM-FEM coupling

KW - Coercivity

KW - Integral equations

KW - Retarded potentials

KW - Stability

KW - Transient wave equation

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Mathematical aspects of variational boundary integral equations for time dependent wave propagation

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