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Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell’s Equations

Published online by Cambridge University Press:  03 June 2015

Xue Jiang ,
Linbo Zhang  and
Weiying Zheng
Xue Jiang*
Affiliation:
LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Linbo Zhang*
Affiliation:
LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Weiying Zheng*
Affiliation:
LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
*
Email:jxue@lsec.cc.ac.cn
Email:zlb@lsec.cc.ac.cn
Corresponding author.Email:zwy@lsec.cc.ac.cn
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Abstract

In this paper, hp-adaptive finite element methods are studied for time-harmonic 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.

Keywords

65M3078A45hp-adaptive finite element methodMaxwell’s equationseddy current problema posteriori error estimate
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 2 , February 2013 , pp. 559 - 582
Copyright
Copyright © Global Science Press Limited 2013

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