{"title":"Boundary elements method for some triangular system of boundary integral equations","authors":"S. Litynskyy, Yuriy Muzychuk","doi":"10.1109/DIPED.2009.5306941","DOIUrl":null,"url":null,"abstract":"A system with infinite quantity of the boundary integral equations which is equivalent to the Dirichlet problem for some triangular system of elliptical equations and its weak formulation has been considered. A recurrent algorithm for solving such systems has been constructed. It involves finding the components of the solution using the boundary elements method step-by-step. The convergence orders for the collocation and the Galerkin methods have been compared.","PeriodicalId":404875,"journal":{"name":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2009.5306941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
A system with infinite quantity of the boundary integral equations which is equivalent to the Dirichlet problem for some triangular system of elliptical equations and its weak formulation has been considered. A recurrent algorithm for solving such systems has been constructed. It involves finding the components of the solution using the boundary elements method step-by-step. The convergence orders for the collocation and the Galerkin methods have been compared.
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