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hp-DGFEM for Maxwell’s equations

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • P. Houston

    (University of Leicester, Department of Mathematics and Computer Science)

  • I. Perugia

    (Università di Pavia, Dipartimento di Matematica)

  • D. Schötzau

    (University of Basel, Department of Mathematics)

Abstract

Summary We propose hp-version interior penalty discontinuous Galerkin methods for the discretization of the curl-curl operator with divergence free constraint, often encountered in electromagnetic problems. For unstructured meshes with hanging nodes, we present error estimates that are optimal in the meshsize h and slightly suboptimal in the polynomial approximation order p. The performance of these methods is numerically tested for two-dimensional model problems.

Suggested Citation

  • P. Houston & I. Perugia & D. Schötzau, 2003. "hp-DGFEM for Maxwell’s equations," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 785-794, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_71
    DOI: 10.1007/978-88-470-2089-4_71
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