期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 78, 期 12, 页码 3841-3861出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2019.06.017
关键词
Elastic wave propagation; Space-time boundary integral equations; Discrete convolution quadrature; Collocation method
资金
- MIUR grant Dipartimenti di Eccellenza 2018-2022 [CUP E11G18000350001]
- GNCS-INDAM 2018 research program: Sviluppo di tecniche efficienti e accurate per metodi BEM, Italy
We consider (transient) 3D elastic wave propagation problems in unbounded isotropic homogeneous media, which can be reduced to corresponding 2D ones. For their solution, we propose and compare two boundary integral equation approaches, both based on the coupling of a discrete time convolution quadrature with a classical space collocation discretization. In the first approach, the PDE problem is preliminarily replaced by the equivalent well known (vector) space-time boundary integral equation formulation, while in the second, the same PDE is replaced by a system of two (coupled) wave equations, each one of which is then represented by the associated boundary integral equation. The construction of these two approaches is described and discussed. Some numerical testing are also presented. (C) 2019 Elsevier Ltd. All rights reserved.
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