Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation
type: Item
instance of: scholarly article
title: Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation
zbMATH Open document ID: 1228.65188
author: Lehel Banjai
author: Volker Gruhne
published in: Journal of Computational and Applied Mathematics
publication date: 2011-06-28T00:00:00Z
review text: The numerical solution of linear hyperbolic partial differential equations formulated as time-domain boundary integral equations is considered. The discretization in time is done by using convolution quadrature and for the discretization in space a standard Galerkin boundary element method is used. The approximation of the kernel function in the integral equation by the weight functions in the corresponding semi-discrete convolutional system is analyzed. An algorithm for solving the problems considered is described and the efficient implementation is discussed. Numerical examples illustrating the theoretical results are presented.
reviewed by: Michael Jung
Mathematics Subject Classification ID: 65M38
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 5914086
zbMATH Keywords: wave equation
zbMATH Keywords: boundary element method
zbMATH Keywords: convolution quadrature
zbMATH Keywords: long-time computation
zbMATH Keywords: time-domain boundary integral equations
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
describes a project that uses: HLIBpro
MaRDI profile type: Publication
full work available at URL: j.cam.2011.03.015
OpenAlex ID: W1999515251
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DOI: 10.1016/J.CAM.2011.03.015
description: scientific article; zbMATH DE number 5914086