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Improved finite element methods for elastic waves
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DOI：10.1016/S0045-7825(98)00088-7.png)
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摘要
En 中文
In this work we develop finite element methods for exterior problems of time-harmonic elastic waves. We employ DtN exterior boundary conditions on an artificial boundary to obtain a well-posed equivalent problem in a bounded region that is suitable for domain-based computation. Galerkin, Galerkin/least-squares and Galerkin/gradient least-squares finite element methods are presented. In acoustic wave problems the Galerkin/least-squares method counters the numerical difficulties that result from employing the Galerkin method, but proves to be insufficient for elastic waves. A specialization of the Galerkin/gradient least-squares method to problems of elastic waves yields good results. Numerical tests validate these conclusions. (C) 1998 Elsevier Science S.A. All rights reserved.
Keyword:
NONREFLECTING BOUNDARY-CONDITIONS
TIME-HARMONIC ACOUSTICS
LEAST-SQUARES METHODS
DISPERSION ANALYSIS
HELMHOLTZ-EQUATION
GALERKIN
FORMULATIONS
DOMAINS
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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