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Fast and data sparse time domain BEM for elastodynamics
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DOI：10.1016/j.enganabound.2014.08.001.png)
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摘要
En 中文
Wave propagation is of great interest for all fields of science and engineering. Particularly, for the case of semi-infinite and infinite domains, the Boundary Element Method is an appropriate numerical method for the simulation of such problems. The presented formulation establishes a data efficient and fast boundary element formulation for the 3-d elastodynamic problem. Approximations of the inherently present temporal convolution are computed via the Convolution Quadrature Method in a nonstandard manner. Contrary to utilizing Cauchy's integral formula, this paper establishes a 'direct' convolution weight evaluation. The application of a cubic spline interpolation on these analytic functions and an appropriate clustering strategy, finally, yield a fast and data efficient formulation that is validated with numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.
Keyword:
Time-domain BEM
Elastodynamics
Convolution quadrature method
Data efficiency
Singular value decomposition
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