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MiS Preprint

Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature

Jonas Ballani, Lehel Banjai, Stefan A. Sauter and Alexander Veit


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.

MSC Codes:
78A45, 65N38, 65R20
Electromagnetic scattering, boundary integral equations, Runge-Kutta convolution quadrature

Related publications

2013 Repository Open Access
Jonas Ballani, Lehel Banjai, Stefan A. Sauter and Alexander Veit

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

In: Numerische Mathematik, 123 (2013) 4, pp. 643-670