A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space.

Heiko Gimperlein; Zouhair Nehzi; Ernst P. Stephan

doi:10.1002/mma.3340

A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space.

Heiko Gimperlein, Zouhair Nehzi, Ernst P. Stephan

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

20 Citations (Scopus)

73 Downloads (Pure)

Abstract

We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them.

Original language	English
Pages (from-to)	448-462
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	40
Issue number	2
Early online date	1 Dec 2014
DOIs	https://doi.org/10.1002/mma.3340
Publication status	Published - 30 Jan 2017

Access to Document

10.1002/mma.3340

Download pdf
This is the accepted version of the article, which has been published in final form at 10.1002/mma.3340
Accepted author manuscript, 316 KB

Cite this

@article{034cc9fbf43348039becf80df29f68c0,

title = "A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space.",

abstract = "We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them.",

author = "Heiko Gimperlein and Zouhair Nehzi and Stephan, {Ernst P.}",

year = "2017",

month = jan,

day = "30",

doi = "10.1002/mma.3340",

language = "English",

volume = "40",

pages = "448--462",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "2",

}

TY - JOUR

T1 - A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space.

AU - Gimperlein, Heiko

AU - Nehzi, Zouhair

AU - Stephan, Ernst P.

PY - 2017/1/30

Y1 - 2017/1/30

N2 - We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them.

AB - We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them.

U2 - 10.1002/mma.3340

DO - 10.1002/mma.3340

M3 - Article

SN - 0170-4214

VL - 40

SP - 448

EP - 462

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 2

ER -

A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space.

Abstract

Access to Document

Fingerprint

Cite this