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

作     者：Xue Jiang Xujing Li 

作者机构：College of Applied SciencesBeijing University of TechnologyBeijing 100124China Department of MathematicsHangzhou Normal UniversityHangzhouZhejiang 310036China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2020年第12卷第1期

页      面：101-140页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by China NSF grants Nos.11771057 11401040 and 11671052.The research of X.J.Li is supported by China NSF grant Nos.11805049 and 11771440 and by the National Magnetic Confinement Fusion Science Program No.2015GB110003 

主　　题：Uniaxial perfectly matched layer Helmholtz equation locally perturbed half-plane,impedance condition 

摘      要：In this paper,we study the two-dimensional Helmholtz scattering problem by a locally perturbed line with impedance boundary *** 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 *** 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.