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AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION

文献类型：期刊论文

作者Leng, Wei1; Ju, Lili2
刊名SIAM JOURNAL ON SCIENTIFIC COMPUTING
出版日期2019
卷号41期号:2页码:A1252-A1277
关键词additive domain decomposition method Helmholtz equation perfectly matched layer truncated domain problem error analysis parallel computing
ISSN号1064-8275
DOI10.1137/18M1196170
英文摘要In this paper, we propose and analyze an additive domain decomposition method (DDM) for solving the Helmholtz equation with the Sommerfeld radiation condition. In the proposed method, the computational domain is partitioned into structured subdomains along all spatial directions, and each of the subdomains contains an overlapping region for source transferring through the perfectly matched layer (PML) technique. At each step all subdomain PML problems are solved concurrently, and then the horizontal, vertical, and corner directional residuals on each subdomain are passed to their corresponding neighbor subdomains as the sources for the next step. This DDM is efficient in nature and theoretically shown to produce the exact solution for the PML problem with constant medium defined in the whole two-dimensional space. A slightly modified version of the method for bounded truncated domains is next developed for its use in practice and an error estimate is rigorously proved. Various numerical experiments in two and three dimensions are conducted on the supercomputer Tianhe-2 Cluster to verify the theoretical results and demonstrate excellent performance of the proposed method as an iterative solver or a preconditioner.
资助项目Natural Science Foundation of China[11501553] ; Natural Science Foundation of China[11771440] ; National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences ; US National Science Foundation[DMS-1521965] ; US National Science Foundation[DMS-1818438]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000469225300023
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34864]  
专题计算数学与科学工程计算研究所
通讯作者Leng, Wei
作者单位1.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
2.Univ South Carolina, Dept Math, Columbia, SC 29208 USA
推荐引用方式
GB/T 7714		 Leng, Wei,Ju, Lili. AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2019,41(2):A1252-A1277.
APA Leng, Wei,&Ju, Lili.(2019).AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION.SIAM JOURNAL ON SCIENTIFIC COMPUTING,41(2),A1252-A1277.
MLA Leng, Wei,et al."AN ADDITIVE OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION".SIAM JOURNAL ON SCIENTIFIC COMPUTING 41.2(2019):A1252-A1277.

入库方式： OAI收割

来源：数学与系统科学研究院

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