R. Graglia, A. Peterson, P. Petrini, L. Matekovits
{"title":"有限方法的层次基和奇异基","authors":"R. Graglia, A. Peterson, P. Petrini, L. Matekovits","doi":"10.1109/COMPEM.2015.7052543","DOIUrl":null,"url":null,"abstract":"Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.","PeriodicalId":6530,"journal":{"name":"2015 IEEE International Conference on Computational Electromagnetics","volume":"25 1","pages":"26-29"},"PeriodicalIF":0.0000,"publicationDate":"2015-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hierarchical and singular bases for finite methods\",\"authors\":\"R. Graglia, A. Peterson, P. Petrini, L. Matekovits\",\"doi\":\"10.1109/COMPEM.2015.7052543\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.\",\"PeriodicalId\":6530,\"journal\":{\"name\":\"2015 IEEE International Conference on Computational Electromagnetics\",\"volume\":\"25 1\",\"pages\":\"26-29\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-03-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE International Conference on Computational Electromagnetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/COMPEM.2015.7052543\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Conference on Computational Electromagnetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/COMPEM.2015.7052543","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hierarchical and singular bases for finite methods
Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.