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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature
Jonas Ballani, Lehel Banjai, Stefan A. Sauter and Alexander VeitAbstract
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.
- Received:
- 13.10.11
- Published:
- 17.10.11
- MSC Codes:
- 78A45, 65N38, 65R20
- Keywords:
- Electromagnetic scattering, boundary integral equations, Runge-Kutta convolution quadrature