Stabilized interior penalty methods for the time-harmonic Maxwell equations

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...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2002-09, Vol.191 (41), p.4675-4697
Main Authors: Perugia, I., Schötzau, D., Monk, P.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Computational techniques
Discontinuous Galerkin methods
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite elements
Finite-element and galerkin methods
Fundamental areas of phenomenology (including applications)
Interior penalty methods
Mathematical methods in physics
Physics
Time-harmonic Maxwell’s equations
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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.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(02)00399-7