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Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • Paul Houston & Ilaria Perugia & Anna Schneebeli & Dominik Schötzau, 2004. "Discontinuous Galerkin Methods for the Time-Harmonic Maxwell Equations," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 483-492, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_45
    DOI: 10.1007/978-3-642-18775-9_45
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