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Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
Stabilized interior penalty methods for the time-harmonic Maxwell equations. (English)
[J] Comput. Methods Appl. Mech. Eng. 191, No. 41-42, 4675-4697 (2002). ISSN 0045-7825

Summary: 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.

MSC 2000:: *78M10 Finite element methods (optics)
65N30 Finite numerical methods (BVP of PDE)

Keywords: Finite elements; Discontinuous Galerkin methods; Interior penalty methods; Time-harmonic Maxwell's equations

Cited in: Zbl 1087.65106

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