Year: 2010
Author: Xiaoying Yang, Fuming Ma, Deyue Zhang, Xinwei Du
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 255–268
Abstract
We develop a uniaxial optimal perfectly matched layer (opt PML) method for solving the time-harmonic scattering problems by choosing a particular absorbing function with unbounded integral in a rectangular domain. With this choice, the solution of the optimal PML problem not only converges exponentially to the solution of the original scatting problem, but also is insensitive to the thickness of the PML layer for sufficiently small parameter $ε_0$. Numerical experiments are included to illustrate the competitive behavior of the proposed optimal method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19162
Communications in Mathematical Research , Vol. 26 (2010), Iss. 3 : pp. 255–268
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: uniaxial optimal perfectly matched layer time-harmonic scattering convergence.