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

Departamento de Matemática Aplicada
University Santiago de Compostela

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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.

Original language	English
Pages (from-to)	137-187
Number of pages	51
Journal	Journal of Integral Equations and Applications
Volume	29
Issue number	1
DOIs	https://doi.org/10.1216/JIE-2017-29-1-137
Publication status	Published - 1 Jan 2017

Keywords

BEM-FEM coupling
Coercivity
Integral equations
Retarded potentials
Stability
Transient wave equation

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10.1216/JIE-2017-29-1-137

Cite this

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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.",

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AB - 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.

KW - BEM-FEM coupling

KW - Coercivity

KW - Integral equations

KW - Retarded potentials

KW - Stability

KW - Transient wave equation

U2 - 10.1216/JIE-2017-29-1-137

DO - 10.1216/JIE-2017-29-1-137

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JF - Journal of Integral Equations and Applications

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

Abstract

Keywords

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