Fully discrete Kirchhoff formulas with CQ-BEM

Lehel Banjai; Antonio R. Laliena; Francisco Javier Sayas

doi:10.1093/imanum/dru017

Fully discrete Kirchhoff formulas with CQ-BEM

Lehel Banjai
, Antonio R. Laliena
, Francisco Javier Sayas^*

^*Corresponding author for this work

School of Mathematical & Computer Sciences

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

14 Citations (Scopus)

Abstract

In this paper, we propose and analyse a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses the Galerkin Boundary Element Method in the space variables and three different choices of time-stepping strategies based on convolution quadrature. The numerical analysis of the method is carried out directly in the time domain, not reverting to Laplace transform techniques.

Original language	English
Pages (from-to)	859-884
Number of pages	26
Journal	IMA Journal of Numerical Analysis
Volume	35
Issue number	2
DOIs	https://doi.org/10.1093/imanum/dru017
Publication status	Published - 2015

Keywords

convolution quadrature
Galerkin BEM
retarded boundary integral equations

ASJC Scopus subject areas

General Mathematics
Applied Mathematics
Computational Mathematics

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10.1093/imanum/dru017

Cite this

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title = "Fully discrete Kirchhoff formulas with CQ-BEM",

abstract = "In this paper, we propose and analyse a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses the Galerkin Boundary Element Method in the space variables and three different choices of time-stepping strategies based on convolution quadrature. The numerical analysis of the method is carried out directly in the time domain, not reverting to Laplace transform techniques.",

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AU - Banjai, Lehel

AU - Laliena, Antonio R.

AU - Sayas, Francisco Javier

PY - 2015

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N2 - In this paper, we propose and analyse a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses the Galerkin Boundary Element Method in the space variables and three different choices of time-stepping strategies based on convolution quadrature. The numerical analysis of the method is carried out directly in the time domain, not reverting to Laplace transform techniques.

AB - In this paper, we propose and analyse a fully discrete method for a direct boundary integral formulation of the scattering of a transient acoustic wave by a sound-soft obstacle. The method uses the Galerkin Boundary Element Method in the space variables and three different choices of time-stepping strategies based on convolution quadrature. The numerical analysis of the method is carried out directly in the time domain, not reverting to Laplace transform techniques.

KW - convolution quadrature

KW - Galerkin BEM

KW - retarded boundary integral equations

UR - https://www.scopus.com/pages/publications/84927135267

U2 - 10.1093/imanum/dru017

DO - 10.1093/imanum/dru017

M3 - Article

AN - SCOPUS:84927135267

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JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

IS - 2

ER -

Fully discrete Kirchhoff formulas with CQ-BEM

Abstract

Keywords

ASJC Scopus subject areas

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