Stéphanie CHAILLAT Composition
نویسنده
چکیده
Simulating wave propagation in 3D configurations is becoming a very active area of research. Themain advantage of the BEM is that only the domain boundaries are discretized. As a result, thismethod is well suited to dealing with unbounded domains. However, the standard BEM leadsto fully-populated matrices, which results in high computational costs in CPU time and mem-ory requirements. The Fast Multipole Method (FMM) has dramatically improved the capabilitiesof 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 lattercase 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 forthe half space fundamental solutions. Seismological applications are given for canonical problemsand the Grenoble valley case.
منابع مشابه
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