Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media

作     者：Yu Du Haijun Wu 

作者机构：School of Mathematics and Computational scienceXiangtan UniversityHunan 411105P.R.China Department of MathematicsNanjing UniversityJiangsu210093P.R.China 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2023年第34卷第10期

页      面：1247-1276页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：funded by the Natural Science Foundation of China under grants 12071401,12171238,12261160361,and 11525103 the science and technology innovation Program of Hunan Province 2022RC1191 

主　　题：Helmholtz equation large wave number perfectly matched layer source transfer domain decomposition method preconditioner heterogeneous problem 

摘      要：We extend the pure source transfer domain decomposition method(PSTDDM)to solve the perfectly matched layer approximation of Helmholtz scattering problems in heterogeneous *** first propose some new source transfer operators,and then introduce the layer-wise and block-wise PSTDDMs based on these *** particular,it is proved that the solution obtained by the layer-wise PSTDDM in R2 coincides with the exact solution to the heterogeneous Helmholtz problem in the computational ***,we propose the iterative layer-wise and blockwise PSTDDMs,which are designed by simply iterating the PSTDDM alternatively over two staggered decompositions of the computational ***,extensive numerical tests in two and three dimensions show that,as the preconditioner for the GMRES method,the iterative PSTDDMs are more robust and efficient than PSTDDMs for solving heterogeneous Helmholtz problems.