{"title":"The dual reciprocity boundary element method for the eigenvalue analysis of Helmholtz problems","authors":"D.P.N. Kontoni, P.W. Partridge, C.A. Brebbia","doi":"10.1016/0961-3552(91)90040-B","DOIUrl":null,"url":null,"abstract":"<div><p>The dual reciprocity method (DRM) is a general technique for taking domain integrals to the boundary in BEM analysis. In this paper it is applied to the eigenvalue analysis of Helmholtz problems. A solution procedure is presented which avoids the complex eigenvalues usually associated with the non-symmetric BEM matrices and which is at the same time easy to implement. Characteristics numerical examples are used to illustrate the proposed method.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 1","pages":"Pages 2-16"},"PeriodicalIF":0.0000,"publicationDate":"1991-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90040-B","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software and Workstations","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/096135529190040B","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The dual reciprocity method (DRM) is a general technique for taking domain integrals to the boundary in BEM analysis. In this paper it is applied to the eigenvalue analysis of Helmholtz problems. A solution procedure is presented which avoids the complex eigenvalues usually associated with the non-symmetric BEM matrices and which is at the same time easy to implement. Characteristics numerical examples are used to illustrate the proposed method.
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