hp-DGFEM for Maxwell’s equations

P. Houston, I. Perugia and D. Schötzau
Additional contact information
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

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 785-794 from Springer

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.

Date: 2003
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DOI: 10.1007/978-88-470-2089-4_71

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