Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain-Reference-Cited by-同舟云学术

Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain

Published:2022-07-22 Issue:4 Volume:22 Page:839-859
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:en
Short-container-title:

Author:

Gimperlein Heiko¹,Özdemir Ceyhun²,Stephan Ernst P.³

Affiliation:

1. Engineering Mathematics , University of Innsbruck , 6020 Innsbruck , Austria

2. Institute for Mechanics , Graz University of Technology , 8010 Graz , Austria

3. Institute of Applied Mathematics , Leibniz University Hannover , 30167 Hannover , Germany

Abstract

Abstract This article considers a coupled finite and boundary element method for an interface problem for the acoustic wave equation. Well-posedness, a priori and a posteriori error estimates are discussed for a symmetric space-time Galerkin discretization related to the energy. Numerical experiments in three dimensions illustrate the performance of the method in model problems.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/cmam-2021-0162/pdf

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