# 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 language English 859-884 26 IMA Journal of Numerical Analysis 35 2 https://doi.org/10.1093/imanum/dru017 Published - 2015

### Fingerprint

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

### Keywords

• 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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AU - Laliena, Antonio R.

AU - Sayas, Francisco Javier

PY - 2015

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KW - retarded boundary integral equations

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