{"title":"On efficient evaluation of integrals entering boundary equations of 3D potential and elasticity theory","authors":"L. Rybarska-Rusinek, Dawid Jaworski, A. Linkov","doi":"10.7862/RF.2014.8","DOIUrl":null,"url":null,"abstract":"The paper presents recurrent formulae for efficient evaluation of all the integrals needed for solving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the density at edges of the boundary are accounted for explicitly. AMS Subject Classification: 65M38, 33E05","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2014.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The paper presents recurrent formulae for efficient evaluation of all the integrals needed for solving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the density at edges of the boundary are accounted for explicitly. AMS Subject Classification: 65M38, 33E05
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