Volume 13, Issue 2
Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell's Equations

Xue Jiang, Linbo Zhang & Weiying Zheng

Commun. Comput. Phys., 13 (2013), pp. 559-582.

Published online: 2013-02

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  • Abstract

In this paper, hp-adaptive finite element methods are studied for timeharmonic Maxwell’s equations. We propose the parallel hp-adaptive algorithms on conforming unstructured tetrahedral meshes based on residual-based a posteriori error estimates. Extensive numerical experiments are reported to investigate the efficiency of the hp-adaptive methods for point singularities, edge singularities, and an engineering benchmark problem of Maxwell’s equations. The hp-adaptive methods show much better performance than the h-adaptive method.


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