An anisotropic perfectly matched layer method for Helmholtz scattering problemswith discontinuous wave number

Zhiming Chen; Chao Liang; Xueshuang Xiang

doi:10.3934/ipi.2013.7.663

Article Contents

2013, Volume 7, Issue 3: 663-678. Doi: 10.3934/ipi.2013.7.663

This issue Previous Article Preface Next Article Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

An anisotropic perfectly matched layer method for Helmholtz scattering problems with discontinuous wave number

1.
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190

Received: September 2012

Revised: February 2013

Published: August 2013

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Abstract

The anisotropic perfectly matched layer (PML) defines a continuous vector field outside a rectangle domain and performs the complex coordinate stretching along the direction of the vector field. In this paper we propose a new way of constructing the vector field which allows us to prove the exponential decay of the stretched Green function without the constraint on the thickness of the PML layer. We report numerical experiments to illustrate the competitive behavior of the proposed PML method.

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Mathematics Subject Classification: Primary: 65N30; Secondary: 78A45, 35Q60.

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