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

D. Chappell

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

D. Chappell

University of Brighton

Research output: Chapter in Book/Conference proceeding with ISSN or ISBN › Conference contribution with ISSN or ISBN › peer-review

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 language	English
Title of host publication	Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering
Pages	103-113
Number of pages	11
Publication status	Published - 2010
Event	Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering - Santander, Spain Duration: 1 Jan 2010 → …

Conference

Conference	Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering
Period	1/01/10 → …

Keywords

integral equations
wave equation
convolution quadrature
boundary element method

Access to Document

http://www.springer.com/birkhauser/mathematics/book/978-0-8176-4896-1Licence: Unspecified

Cite this

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title = "Convolution quadrature Galerkin method for the exterior Neumann problem of wave equation",

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.",

keywords = "integral equations, wave equation, convolution quadrature, boundary element method",

author = "D. Chappell",

year = "2010",

language = "English",

pages = "103--113",

booktitle = "Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering",

note = "Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering ; Conference date: 01-01-2010",

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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, Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering, 1/01/10. <http://www.springer.com/birkhauser/mathematics/book/978-0-8176-4896-1>

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PY - 2010

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N2 - 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.

AB - 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.

KW - integral equations

KW - wave equation

KW - convolution quadrature

KW - boundary element method

M3 - Conference contribution with ISSN or ISBN

SP - 103

EP - 113

BT - Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering

T2 - Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering

Y2 - 1 January 2010

ER -

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

Abstract

Conference

Keywords

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