Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition

被引：1
作者：
Jiang, Xue [1 ]
Li, Xujing [2 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2020年 / 12卷 / 01期
关键词：
Uniaxial perfectly matched layer; Helmholtz equation; locally perturbed half-plane; impedance condition; CARTESIAN PML APPROXIMATION; TIME-HARMONIC MAXWELL; WAVE SCATTERING; ELECTROMAGNETIC SCATTERING; HELMHOLTZ-EQUATION; HALF-PLANE; CONVERGENCE;
D O I：
10.4208/aamm.OA-2019-0047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the two-dimensional Helmholtz scattering problem by a locally perturbed line with impedance boundary condition. Different from the problem with Dirichlet boundary condition, the Green function of the Helmholtz equation with impedance boundary condition becomes very complicated and comprises surface waves along the locally perturbed line. A uniaxial perfectly matched layer (UPML) method is proposed to truncate the half plane into a bounded computational domain. The main contribution of this paper is to prove the well-posedness of the PML problem and the exponential convergence of the approximate solution to the exact solution as either the thickness or the medium parameter of PML increases.
引用
收藏
页码：101 / 140
页数：40
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