{"title":"宽带有限元模型特征降阶的修正摄动理论","authors":"Shih-Hao Lee, R. Wu","doi":"10.1109/MWSYM.2004.1338836","DOIUrl":null,"url":null,"abstract":"Modified perturbation theory based on high order Taylor series expansion and congruence transformation is applied to the finite-element model order reduction to accelerate the analysis of waveguide eigen-mode problems. The limit of Taylor series by poles is overcome and the bandwidth of a single-point reduced-order model is greatly improved. Without transforming a Taylor series to a Pade rational function, as in an AWE process, this method is more stable and has a wider bandwidth.","PeriodicalId":334675,"journal":{"name":"2004 IEEE MTT-S International Microwave Symposium Digest (IEEE Cat. No.04CH37535)","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Modified perturbation theory for wideband finite-element model order reduction in eigen-problems\",\"authors\":\"Shih-Hao Lee, R. Wu\",\"doi\":\"10.1109/MWSYM.2004.1338836\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Modified perturbation theory based on high order Taylor series expansion and congruence transformation is applied to the finite-element model order reduction to accelerate the analysis of waveguide eigen-mode problems. The limit of Taylor series by poles is overcome and the bandwidth of a single-point reduced-order model is greatly improved. Without transforming a Taylor series to a Pade rational function, as in an AWE process, this method is more stable and has a wider bandwidth.\",\"PeriodicalId\":334675,\"journal\":{\"name\":\"2004 IEEE MTT-S International Microwave Symposium Digest (IEEE Cat. No.04CH37535)\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 IEEE MTT-S International Microwave Symposium Digest (IEEE Cat. No.04CH37535)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSYM.2004.1338836\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 IEEE MTT-S International Microwave Symposium Digest (IEEE Cat. No.04CH37535)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSYM.2004.1338836","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modified perturbation theory for wideband finite-element model order reduction in eigen-problems
Modified perturbation theory based on high order Taylor series expansion and congruence transformation is applied to the finite-element model order reduction to accelerate the analysis of waveguide eigen-mode problems. The limit of Taylor series by poles is overcome and the bandwidth of a single-point reduced-order model is greatly improved. Without transforming a Taylor series to a Pade rational function, as in an AWE process, this method is more stable and has a wider bandwidth.