Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature
type: Item
instance of: scholarly article
title: Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature
zbMATH Open document ID: 1279.78019
author: Yanyan Li
published in: Numerische Mathematik
publication date: 2013-04-03T00:00:00Z
review text: The paper is concerned with the numerical approximation of time-dependent boundary integral equations arising in electromagnetic scattering. The authors consider the three-dimensional exterior scattering problem from a perfectly conducting obstacle in a homogeneous isotropic medium. In order to solve the resulting time-domain electric field integral equation they use a Runge-Kutta convolution quadrature for the time discretization and a Galerkin BEM with Raviart-Thomas elements of lowest order for the spatial discretization. They analyze the involved operators in the Laplace domain and obtain error estimates for the semi-discrete scheme and for the fully discrete scheme. Numerical experiments in the case of a spherical scatterer indicate that the derived error estimates are sharp.
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6150054
zbMATH Keywords: time domain integral equation
zbMATH Keywords: Galerkin BEM
zbMATH Keywords: Runge-Kutta convolution quadrature
zbMATH Keywords: electromagnetic scattering
reviewed by: Ana M. Alonso Rodriguez
describes a project that uses: HLIBpro
MaRDI profile type: Publication
full work available at URL: s00211-012-0503-7
OpenAlex ID: W2163808070
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DOI: 10.1007/S00211-012-0503-7
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description: scientific article; zbMATH DE number 6150054