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An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems

An Adaptive Perfectly Matched Layer Method for Multiple Cavity Scattering Problems
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Year:    2016

Communications in Computational Physics, Vol. 19 (2016), Iss. 2 : pp. 534–558

Abstract

A uniaxial perfectly matched layer (PML) method is proposed for solving the scattering problem with multiple cavities. By virtue of the integral representation of the scattering field, we decompose the problem into a system of single-cavity scattering problems which are coupled with Dirichlet-to-Neumann maps. A PML is introduced to truncate the exterior domain of each cavity such that the computational domain does not intersect those for other cavities. Based on a posteriori error estimates, an adaptive finite element algorithm is proposed to solve the coupled system. The novelty of the proposed method is that its computational complexity is comparable to that for solving uncoupled single-cavity problems. Numerical experiments are presented to demonstrate the efficiency of the adaptive PML method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.040215.280815a

Communications in Computational Physics, Vol. 19 (2016), Iss. 2 : pp. 534–558

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:   

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