An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems

An hp Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems

Year:    2009

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7749

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 546–564

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords: