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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mechanik (3050)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Seiten (von - bis)	839-859
Seitenumfang	21
Fachzeitschrift	Computational Methods in Applied Mathematics
Jahrgang	22
Ausgabenummer	4
DOIs	https://doi.org/10.1515/cmam-2021-0162
Publikationsstatus	Veröffentlicht - 1 Okt. 2022

ASJC Scopus subject areas

Numerische Mathematik
Computational Mathematics
Angewandte Mathematik

Zugriff auf Dokument

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

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

Dieses zitieren

@article{248540128f1b4776a7b101e8dcba919c,

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.",

year = "2022",

month = oct,

day = "1",

doi = "10.1515/cmam-2021-0162",

language = "English",

volume = "22",

pages = "839--859",

journal = "Computational Methods in Applied Mathematics ",

issn = "1609-4840",

publisher = "de Gruyter",

number = "4",

}

TY - JOUR

T1 - Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain

AU - Gimperlein, Heiko

AU - Özdemir, Ceyhun

AU - Stephan, Ernst P.

PY - 2022/10/1

Y1 - 2022/10/1

N2 - 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.

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.

KW - A Posteriori Error Estimates

KW - A Priori Error Estimates

KW - FEM-BEM Coupling

KW - Time Domain Boundary Element Method

KW - Wave Equation

UR - http://www.scopus.com/inward/record.url?scp=85135178307&partnerID=8YFLogxK

U2 - 10.1515/cmam-2021-0162

DO - 10.1515/cmam-2021-0162

M3 - Article

AN - SCOPUS:85135178307

SN - 1609-4840

VL - 22

SP - 839

EP - 859

JO - Computational Methods in Applied Mathematics

JF - Computational Methods in Applied Mathematics

IS - 4

ER -

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

Abstract

ASJC Scopus subject areas

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren