Fully discrete Kirchhoff formulas with CQ-BEM

Lehel Banjai, Antonio R. Laliena, Francisco Javier Sayas

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)859-884
Number of pages26
JournalIMA Journal of Numerical Analysis
Volume35
Issue number2
DOIs
Publication statusPublished - 2015

Fingerprint

Acoustic waves
Laplace transforms
Boundary element method
Convolution
Numerical analysis
Scattering
Boundary Integral
Time Stepping
Acoustic Waves
Quadrature
Galerkin
Laplace transform
Boundary Elements
Numerical Analysis
Time Domain
Formulation
Sound
Strategy

Keywords

  • convolution quadrature
  • Galerkin BEM
  • retarded boundary integral equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

Banjai, Lehel ; Laliena, Antonio R. ; Sayas, Francisco Javier. / Fully discrete Kirchhoff formulas with CQ-BEM. In: IMA Journal of Numerical Analysis. 2015 ; Vol. 35, No. 2. pp. 859-884.
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Fully discrete Kirchhoff formulas with CQ-BEM. / Banjai, Lehel; Laliena, Antonio R.; Sayas, Francisco Javier.

In: IMA Journal of Numerical Analysis, Vol. 35, No. 2, 2015, p. 859-884.

Research output: Contribution to journalArticle

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