{"title":"基于笛卡尔多极数值积分的三维电容提取","authors":"U. Geigenmuller, N. P. van der Meijs","doi":"10.1109/EDTC.1997.582368","DOIUrl":null,"url":null,"abstract":"Application of the hierarchical Schur algorithm to the boundary element method for 3D capacitance extraction shifts the speed bottleneck from inversion of the influence matrix to its calculation. We show how the numerical integration required for the latter can be accelerated by an order of magnitude with the aid of a multipole expansion in Cartesian formulation. The scheme differs essentially from that of the FASTCAP extractor.","PeriodicalId":297301,"journal":{"name":"Proceedings European Design and Test Conference. ED & TC 97","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Cartesian multipole based numerical integration for 3D capacitance extraction\",\"authors\":\"U. Geigenmuller, N. P. van der Meijs\",\"doi\":\"10.1109/EDTC.1997.582368\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Application of the hierarchical Schur algorithm to the boundary element method for 3D capacitance extraction shifts the speed bottleneck from inversion of the influence matrix to its calculation. We show how the numerical integration required for the latter can be accelerated by an order of magnitude with the aid of a multipole expansion in Cartesian formulation. The scheme differs essentially from that of the FASTCAP extractor.\",\"PeriodicalId\":297301,\"journal\":{\"name\":\"Proceedings European Design and Test Conference. ED & TC 97\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-03-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings European Design and Test Conference. ED & TC 97\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EDTC.1997.582368\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings European Design and Test Conference. ED & TC 97","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EDTC.1997.582368","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cartesian multipole based numerical integration for 3D capacitance extraction
Application of the hierarchical Schur algorithm to the boundary element method for 3D capacitance extraction shifts the speed bottleneck from inversion of the influence matrix to its calculation. We show how the numerical integration required for the latter can be accelerated by an order of magnitude with the aid of a multipole expansion in Cartesian formulation. The scheme differs essentially from that of the FASTCAP extractor.