{"title":"新势积分方程的快速多极法解","authors":"U. M. Gür, Barışcan Karaosmanogglu, Ö. Ergül","doi":"10.1109/EMCT.2017.8090372","DOIUrl":null,"url":null,"abstract":"A recently introduced potential integral equations for stable analysis of low-frequency problems involving dense discretizations with respect to wavelength are solved by using the fast multipole method (FMM). Two different implementations of FMM based on multipoles and an approximate diagonalization employing scaled plane waves are developed and used for rigorous solutions of low-frequency problems. Numerical results on canonical problems demonstrate excellent stability and solution capabilities of both implementations.","PeriodicalId":104929,"journal":{"name":"2017 IV International Electromagnetic Compatibility Conference (EMC Turkiye)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Fast-multipole-method solutions of new potential integral equations\",\"authors\":\"U. M. Gür, Barışcan Karaosmanogglu, Ö. Ergül\",\"doi\":\"10.1109/EMCT.2017.8090372\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A recently introduced potential integral equations for stable analysis of low-frequency problems involving dense discretizations with respect to wavelength are solved by using the fast multipole method (FMM). Two different implementations of FMM based on multipoles and an approximate diagonalization employing scaled plane waves are developed and used for rigorous solutions of low-frequency problems. Numerical results on canonical problems demonstrate excellent stability and solution capabilities of both implementations.\",\"PeriodicalId\":104929,\"journal\":{\"name\":\"2017 IV International Electromagnetic Compatibility Conference (EMC Turkiye)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 IV International Electromagnetic Compatibility Conference (EMC Turkiye)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EMCT.2017.8090372\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IV International Electromagnetic Compatibility Conference (EMC Turkiye)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EMCT.2017.8090372","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fast-multipole-method solutions of new potential integral equations
A recently introduced potential integral equations for stable analysis of low-frequency problems involving dense discretizations with respect to wavelength are solved by using the fast multipole method (FMM). Two different implementations of FMM based on multipoles and an approximate diagonalization employing scaled plane waves are developed and used for rigorous solutions of low-frequency problems. Numerical results on canonical problems demonstrate excellent stability and solution capabilities of both implementations.
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