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Fast Multipole Method for 3-D elastodynamic boundary integral equations. Application to seismic wave propagation

Abstract : Simulating wave propagation in 3D configurations is becoming a very active area of research. The main advantage of the BEM is that only the domain boundaries are discretized. As a result, this method is well suited to dealing with unbounded domains. However, the standard BEM leads to fully-populated matrices, which results in high computational costs in CPU time and memory requirements. The Fast Multipole Method (FMM) has dramatically improved the capabilities of BEMs for many areas of application. In this thesis, the FMM is extended to 3D frequency-domain elastodynamics in homogeneous and piecewise-homogeneous media (using in the latter case a FMM-based BE-BE coupling). Improvements of the present FM-BEM are also presented: preconditioning, reduction of the number of moments, and formulation of a multipole expansion for the half space fundamental solutions. Seismological applications are given for canonical problems and the Grenoble valley case.
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Submitted on : Saturday, February 7, 2009 - 12:23:17 PM
Last modification on : Friday, October 23, 2020 - 4:59:18 PM
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  • HAL Id : tel-00359461, version 2

Citation

Stéphanie Chaillat. Fast Multipole Method for 3-D elastodynamic boundary integral equations. Application to seismic wave propagation. Engineering Sciences [physics]. Ecole des Ponts ParisTech, 2008. English. ⟨tel-00359461v2⟩

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