Volume 5, Issue 2-4
An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems

Zhiming Chen, Benqi Guo & Yuanming Xiao

DOI:

Commun. Comput. Phys., 5 (2009), pp. 546-564.

Published online: 2009-02

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  • Abstract

We propose an adaptive strategy for solving high frequency Helmholtz scattering problems. The method is based on the uniaxial PML method to truncate the scattering problem which is defined in the unbounded domain into the bounded domain. The parameters in the uniaxial PML method are determined by sharp a posteriori error estimates developed by Chen and Wu [8]. An hp-adaptive finite element strategy is proposed to solve the uniaxial PML equation. Numerical experiments are included which indicate the desirable exponential decay property of the error.

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@Article{CiCP-5-546, author = {}, title = {An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {546--564}, abstract = {

We propose an adaptive strategy for solving high frequency Helmholtz scattering problems. The method is based on the uniaxial PML method to truncate the scattering problem which is defined in the unbounded domain into the bounded domain. The parameters in the uniaxial PML method are determined by sharp a posteriori error estimates developed by Chen and Wu [8]. An hp-adaptive finite element strategy is proposed to solve the uniaxial PML equation. Numerical experiments are included which indicate the desirable exponential decay property of the error.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7749.html} }
TY - JOUR T1 - An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems JO - Communications in Computational Physics VL - 2-4 SP - 546 EP - 564 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7749.html KW - AB -

We propose an adaptive strategy for solving high frequency Helmholtz scattering problems. The method is based on the uniaxial PML method to truncate the scattering problem which is defined in the unbounded domain into the bounded domain. The parameters in the uniaxial PML method are determined by sharp a posteriori error estimates developed by Chen and Wu [8]. An hp-adaptive finite element strategy is proposed to solve the uniaxial PML equation. Numerical experiments are included which indicate the desirable exponential decay property of the error.

Zhiming Chen, Benqi Guo & Yuanming Xiao. (2020). An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems. Communications in Computational Physics. 5 (2-4). 546-564. doi:
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