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Fast Multipole accelerated boundary element method for elastic wave propagation in multi-region domains
Stéphanie Chaillat, Marc Bonnet, Jean-François Semblat

Fast Multipole accelerated boundary element method for elastic wave propagation in multi-region domains

Science & Mathematics Published 2009 Verification Pending

Overview & Synopsis

Solving the 3-D elastodynamic equations using traditional boundary element methods (BEMs) is greatly hindered by the fully-populated nature of the BEM matrix. In a previous study limited to homogeneous media, we have established that the Fast Multipole (FM) method reduces the complexity of a 3-D elastodynamic BEM to N log N per GMRES iteration. Here, the methodology is extented to piecewise-homogeneous domains using a FM-accelerated multi-region BE-BE coupling. Numerical examples, and a simple preconditioning approach, are presented.

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Document Information

Document Title Fast Multipole accelerated boundary element method for elastic wave propagation in multi-region domains
Author / Organization Stéphanie Chaillat, Marc Bonnet, Jean-François Semblat
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2009
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-253203
Original Source Link Visit Source Page on hal.science »