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Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature


Ballani, Jonas; Banjai, Lehel; Sauter, Stefan A; Veit, Alexander (2013). Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature. Numerische Mathematik, 123(4):643-670.

Abstract

In this paper we consider time-dependent electromagnetic scattering problems from conducting objects. We discretize the time-domain electric field integral equation using Runge-Kutta convolution quadrature in time and a Galerkin method in space. We analyze the involved operators in the Laplace domain and obtain convergence results for the fully discrete scheme. Numerical experiments indicate the sharpness of the theoretical estimates.

Abstract

In this paper we consider time-dependent electromagnetic scattering problems from conducting objects. We discretize the time-domain electric field integral equation using Runge-Kutta convolution quadrature in time and a Galerkin method in space. We analyze the involved operators in the Laplace domain and obtain convergence results for the fully discrete scheme. Numerical experiments indicate the sharpness of the theoretical estimates.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:April 2013
Deposited On:27 Dec 2013 13:09
Last Modified:21 Sep 2018 14:08
Publisher:Springer
ISSN:0029-599X
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s00211-012-0503-7

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