Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations

Paul Houston (), Ilaria Perugia (), Anna Schneebeli () and Dominik Schötzau ()
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Paul Houston: University of Leicester, Department of Mathematics
Ilaria Perugia: Università di Pavia, Dipartimento di Matematica
Anna Schneebeli: University of Basel, Department of Mathematics
Dominik Schötzau: University of British Columbia, Mathematics Department

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 483-492 from Springer

Abstract: Summary Interior penalty discontinous Galerkin methods for the time-harmonic Maxwell equations in frequency-domain, together with their stability and convergence properties, are reviewed. A new set of numerical tests carried out on a model problem with a singular analytical solution validates the theoretical error estimates of the presented method for the high-frequency case.

Keywords: Posteriori Error; Discontinuous Galerkin Method; Finite Element Space; Interior Penalty; Hanging Node (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_45

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DOI: 10.1007/978-3-642-18775-9_45

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