We present numerical results concerning the solution of the time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. In particular, a numerical study of the convergence, which compares different strategies proposed in the literature for the elliptic Maxwell equations, is perfor
Stabilized interior penalty methods for the time-harmonic Maxwell equations
✍ Scribed by I. Perugia; D. Schötzau; P. Monk
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 235 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
We propose stabilized interior penalty discontinuous Galerkin methods for the indefinite time-harmonic Maxwell system. The methods are based on a mixed formulation of the boundary value problem chosen to provide control on the divergence of the electric field. We prove optimal error estimates for the methods in the special case of smooth coefficients and perfectly conducting boundary using a duality approach.
📜 SIMILAR VOLUMES
## Abstract We introduce a new preconditioning technique for iteratively solving linear systems arising from finite element discretization of the mixed formulation of the time‐harmonic Maxwell equations. The preconditioners are motivated by spectral equivalence properties of the discrete operators,
Communicated by R
A few years ago, Costabel and Dauge proposed a variational setting, which allows one to solve numerically the timeharmonic Maxwell equations in 3D geometries with the help of a continuous approximation of the electromagnetic field. In this paper, we investigate how their framework can be adapted to