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An implementation and numerical experiments of the FEM‐BEM coupling for the elastodynamic wave equation in 3D
Author(s) -
Eberle Sarah
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900050
Subject(s) - discretization , boundary element method , quadrature (astronomy) , convolution (computer science) , finite element method , coupling (piping) , wave equation , mathematical analysis , numerical analysis , domain (mathematical analysis) , boundary (topology) , mathematics , computer science , physics , structural engineering , engineering , mechanical engineering , optics , machine learning , artificial neural network
In this paper we deal with an implementation as well as numerical experiments for the coupling of interior and exterior problems of the elastodynamic wave equation with transparent boundary conditions in 3D as described in a previous paper by this author. In more detail, the FEM‐BEM‐coupling as well as the time discretization by using leapfrog and convolution quadrature is considered. Our aim is to provide an insight into the necessary steps of the implementation. Based on this, we present numerical experiments for a non‐convex domain and analyze the errors.