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

Heiko Gimperlein; Ceyhun Özdemir; Ernst P. Stephan

doi:10.1515/cmam-2021-0162

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

Heiko Gimperlein^*, Ceyhun Özdemir, Ernst P. Stephan

^*Corresponding author for this work

Institute of Mechanics (3050)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	839-859
Number of pages	21
Journal	Computational Methods in Applied Mathematics
Volume	22
Issue number	4
DOIs	https://doi.org/10.1515/cmam-2021-0162
Publication status	Published - 1 Oct 2022

Keywords

A Posteriori Error Estimates
A Priori Error Estimates
FEM-BEM Coupling
Time Domain Boundary Element Method
Wave Equation

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1515/cmam-2021-0162Licence: CC BY 4.0

Cite this

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title = "Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain",

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.",

keywords = "A Posteriori Error Estimates, A Priori Error Estimates, FEM-BEM Coupling, Time Domain Boundary Element Method, Wave Equation",

author = "Heiko Gimperlein and Ceyhun {\"O}zdemir and Stephan, {Ernst P.}",

note = "Publisher Copyright: {\textcopyright} 2022 Walter de Gruyter GmbH, Berlin/Boston.",

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AU - Stephan, Ernst P.

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Y1 - 2022/10/1

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AB - 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.

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KW - A Priori Error Estimates

KW - FEM-BEM Coupling

KW - Time Domain Boundary Element Method

KW - Wave Equation

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

Abstract

Keywords

ASJC Scopus subject areas

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