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

Xue Jiang, Linbo Zhang & Weiying Zheng

DOI: 10.4208/cicp.231111.090312a

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 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.

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COPYRIGHT: © Global Science Press

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@Article{CiCP-13-559, author = {Xue Jiang, Linbo Zhang and Weiying Zheng}, title = {Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell's Equations}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {2}, pages = {559--582}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.231111.090312a}, url = {http://global-sci.org/intro/article_detail/cicp/7236.html} }
TY - JOUR T1 - Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell's Equations AU - Xue Jiang, Linbo Zhang & Weiying Zheng JO - Communications in Computational Physics VL - 2 SP - 559 EP - 582 PY - 2013 DA - 2013/02 SN - 13 DO - http://doi.org/10.4208/cicp.231111.090312a UR - https://global-sci.org/intro/article_detail/cicp/7236.html KW - AB -

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.

Xue Jiang, Linbo Zhang and Weiying Zheng. (2013). Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell's Equations. Communications in Computational Physics. 13 (2). 559-582. doi:10.4208/cicp.231111.090312a
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