Fully discrete Kirchhoff formulas with CQ-BEM

Lehel Banjai, Antonio R. Laliena, Francisco Javier Sayas

Research output: Contribution to journalArticle

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

Keywords

  • convolution quadrature
  • Galerkin BEM
  • retarded boundary integral equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

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