{"title":"An analytic solution to the poisson equation in some plane domains","authors":"Dorel Homentcovschi","doi":"10.1016/0264-682X(88)90019-6","DOIUrl":null,"url":null,"abstract":"<div><p>The paper proposes a particular analytical solution to the Poisson equation in case the density function <em>f</em>(<em>x</em>, <em>y</em>) is analytic in its variables in the polygonal region <em>D</em><sub>1</sub>, and vanishes in <span><math><mtext>D − </mtext><mtext>D</mtext><msub><mi></mi><mn>1</mn></msub></math></span>. By means of this solution the numerical evaluation of the domain integrals in BEM can be avoided.</p></div>","PeriodicalId":100474,"journal":{"name":"Engineering Analysis","volume":"5 4","pages":"Pages 212-214"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0264-682X(88)90019-6","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0264682X88900196","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2003/4/3 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The paper proposes a particular analytical solution to the Poisson equation in case the density function f(x, y) is analytic in its variables in the polygonal region D1, and vanishes in . By means of this solution the numerical evaluation of the domain integrals in BEM can be avoided.
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