Convolution quadrature Galerkin method for the exterior Neumann problem of wave equation

D. Chappell

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBN

Abstract

The numerical solution of the Neumann problem of the wave equation on unbounded three-dimensional domains is calculated using the convolution quadrature method for the time discretization and a Galerkin boundary element method for the spatial discretization. The mathematical analysis that has been built up for the Dirichlet problem is extended and developed for the Neumann problem, which is important for many modelling applications. Numerical examples are then presented for one of these applications, modelling transient acoustic radiation.
Original languageEnglish
Title of host publicationProceedings of the Tenth International Conference on Integral Methods in Science and Engineering
Pages103-113
Number of pages11
Publication statusPublished - 2010
EventProceedings of the Tenth International Conference on Integral Methods in Science and Engineering - Santander, Spain
Duration: 1 Jan 2010 → …

Conference

ConferenceProceedings of the Tenth International Conference on Integral Methods in Science and Engineering
Period1/01/10 → …

Keywords

  • integral equations
  • wave equation
  • convolution quadrature
  • boundary element method

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  • Cite this

    Chappell, D. (2010). Convolution quadrature Galerkin method for the exterior Neumann problem of wave equation. In Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering (pp. 103-113) http://www.springer.com/birkhauser/mathematics/book/978-0-8176-4896-1