

Preprint 65/2011
Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature
Jonas Ballani, Lehel Banjai, Stefan A. Sauter, and Alexander Veit
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Submission date: 13. Oct. 2011
Pages: 24
published in: Numerische Mathematik, 123 (2013) 4, p. 643-670
DOI number (of the published article): 10.1007/s00211-012-0503-7
Bibtex
MSC-Numbers: 78A45, 65N38, 65R20
Keywords and phrases: Electromagnetic scattering, boundary integral equations, Runge-Kutta convolution quadrature
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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.