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 th
Interior penalty method for the indefinite time-harmonic Maxwell equations
✍ Scribed by Paul Houston; Ilaria Perugia; Anna Schneebeli; Dominik Schötzau
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 290 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0029-599X
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📜 SIMILAR VOLUMES
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
## 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,