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

24 Citations (Scopus)

76 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

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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.",

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

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