M. V. van Beurden, J. A. H. M. Vaessen, A. Tijhuis
{"title":"Numerical kernel construction for bodies of revolution with highorder Fourier modes","authors":"M. V. van Beurden, J. A. H. M. Vaessen, A. Tijhuis","doi":"10.1109/ICEAA.2010.5653725","DOIUrl":null,"url":null,"abstract":"Boundary integral equations for bodies of revolution have a Green's function kernel that can be written as the azimuthal integral over the free-space Green's function. We show that existing approximation methods for computing this integral suffer from efficiency or stability problems. Improvement of one of these methods leads to controllable accuracy while retaining efficiency.","PeriodicalId":375707,"journal":{"name":"2010 International Conference on Electromagnetics in Advanced Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Electromagnetics in Advanced Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEAA.2010.5653725","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
Boundary integral equations for bodies of revolution have a Green's function kernel that can be written as the azimuthal integral over the free-space Green's function. We show that existing approximation methods for computing this integral suffer from efficiency or stability problems. Improvement of one of these methods leads to controllable accuracy while retaining efficiency.
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