Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature
- Resource Type
- Authors
- Jonas Ballani; Stefan A. Sauter; Alexander Veit; Lehel Banjai
- Source
- Numerische Mathematik. 123:643-670
- Subject
- Discretization
Laplace transform
Applied Mathematics
Numerical analysis
Mathematical analysis
Electric-field integral equation
Computer Science::Numerical Analysis
Gauss–Kronrod quadrature formula
Mathematics::Numerical Analysis
Quadrature (mathematics)
10123 Institute of Mathematics
Computational Mathematics
Runge–Kutta methods
510 Mathematics
2604 Applied Mathematics
Galerkin method
2605 Computational Mathematics
Mathematics
- Language
- ISSN
- 0945-3245
0029-599X
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.