{"title":"基于Schur补系统的并行迭代求解器","authors":"G. Larrazábal, J. Cela","doi":"10.1109/ICPPW.2001.951921","DOIUrl":null,"url":null,"abstract":"We present a parallel iterative solver for the Schur system. We have developed two preconditioners for this system. The preconditioners are based in a strongly dropped factorisation and algebraic multigrid technique, respectively. Two levels of parallelism are exploited using PVM and openMP. The preconditioners are tested with a scalar convection-diffusion equation, a set of industrial test cases arising from the finite element package PERMAS and the Davis collection. We have obtained quasi-linear speed-up until 32 processors.","PeriodicalId":93355,"journal":{"name":"Proceedings of the ... ICPP Workshops on. International Conference on Parallel Processing Workshops","volume":"15 1","pages":"149-154"},"PeriodicalIF":0.0000,"publicationDate":"2001-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A parallel iterative solver based on the Schur complement system\",\"authors\":\"G. Larrazábal, J. Cela\",\"doi\":\"10.1109/ICPPW.2001.951921\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a parallel iterative solver for the Schur system. We have developed two preconditioners for this system. The preconditioners are based in a strongly dropped factorisation and algebraic multigrid technique, respectively. Two levels of parallelism are exploited using PVM and openMP. The preconditioners are tested with a scalar convection-diffusion equation, a set of industrial test cases arising from the finite element package PERMAS and the Davis collection. We have obtained quasi-linear speed-up until 32 processors.\",\"PeriodicalId\":93355,\"journal\":{\"name\":\"Proceedings of the ... ICPP Workshops on. International Conference on Parallel Processing Workshops\",\"volume\":\"15 1\",\"pages\":\"149-154\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the ... ICPP Workshops on. International Conference on Parallel Processing Workshops\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPPW.2001.951921\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the ... ICPP Workshops on. International Conference on Parallel Processing Workshops","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPPW.2001.951921","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A parallel iterative solver based on the Schur complement system
We present a parallel iterative solver for the Schur system. We have developed two preconditioners for this system. The preconditioners are based in a strongly dropped factorisation and algebraic multigrid technique, respectively. Two levels of parallelism are exploited using PVM and openMP. The preconditioners are tested with a scalar convection-diffusion equation, a set of industrial test cases arising from the finite element package PERMAS and the Davis collection. We have obtained quasi-linear speed-up until 32 processors.