{"title":"Helmholtz问题特征值分析的对偶互易边界元方法","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":"{\"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}","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}
The dual reciprocity boundary element method for the eigenvalue analysis of Helmholtz problems
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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