{"title":"弹性问题的PCG方法的位移分解与并行化","authors":"R. Blaheta, O. Jakl, J. Starý","doi":"10.1109/ICPPW.2001.951923","DOIUrl":null,"url":null,"abstract":"This article describes the displacement decomposition and its benefits for the parallelization of the preconditioned conjugate gradient method for finite element elasticity problems. It deals with both the fixed and variable preconditioning based on this decomposition. Numerical efficiency of the parallel algorithms is demonstrated on an academic benchmark and real-life modelling problem.","PeriodicalId":93355,"journal":{"name":"Proceedings of the ... ICPP Workshops on. International Conference on Parallel Processing Workshops","volume":"36 1","pages":"155-160"},"PeriodicalIF":0.0000,"publicationDate":"2001-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Displacement decomposition and parallelization of the PCG method for elasticity problems\",\"authors\":\"R. Blaheta, O. Jakl, J. Starý\",\"doi\":\"10.1109/ICPPW.2001.951923\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article describes the displacement decomposition and its benefits for the parallelization of the preconditioned conjugate gradient method for finite element elasticity problems. It deals with both the fixed and variable preconditioning based on this decomposition. Numerical efficiency of the parallel algorithms is demonstrated on an academic benchmark and real-life modelling problem.\",\"PeriodicalId\":93355,\"journal\":{\"name\":\"Proceedings of the ... ICPP Workshops on. International Conference on Parallel Processing Workshops\",\"volume\":\"36 1\",\"pages\":\"155-160\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"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.2001.951923\",\"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.2001.951923","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Displacement decomposition and parallelization of the PCG method for elasticity problems
This article describes the displacement decomposition and its benefits for the parallelization of the preconditioned conjugate gradient method for finite element elasticity problems. It deals with both the fixed and variable preconditioning based on this decomposition. Numerical efficiency of the parallel algorithms is demonstrated on an academic benchmark and real-life modelling problem.