{"title":"非线性椭圆方程的单调-施瓦茨并行算法","authors":"Qiming He, D. J. Evans, Lishan Kang","doi":"10.1080/10637199608915573","DOIUrl":null,"url":null,"abstract":"In this paper, a new monotone-Schwarz parallel algorithm for solving a class of semilinear elliptic systems is proposed. In the case of overlapping subdomains, the detailed procedures for constructing iterative sequences and the convergence proofs are investigated.","PeriodicalId":212567,"journal":{"name":"Neural Parallel Sci. Comput.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1996-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Monotone-Schwarz parallel algorithm for nonlinear elliptic equations\",\"authors\":\"Qiming He, D. J. Evans, Lishan Kang\",\"doi\":\"10.1080/10637199608915573\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a new monotone-Schwarz parallel algorithm for solving a class of semilinear elliptic systems is proposed. In the case of overlapping subdomains, the detailed procedures for constructing iterative sequences and the convergence proofs are investigated.\",\"PeriodicalId\":212567,\"journal\":{\"name\":\"Neural Parallel Sci. Comput.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Neural Parallel Sci. Comput.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/10637199608915573\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Neural Parallel Sci. Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/10637199608915573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Monotone-Schwarz parallel algorithm for nonlinear elliptic equations
In this paper, a new monotone-Schwarz parallel algorithm for solving a class of semilinear elliptic systems is proposed. In the case of overlapping subdomains, the detailed procedures for constructing iterative sequences and the convergence proofs are investigated.