{"title":"混合网格上满足De Rham图的一种新的分层棱柱元序列","authors":"P. Solín, K. Segeth","doi":"10.1515/156939505775248329","DOIUrl":null,"url":null,"abstract":"This paper presents a new sequence of affine-equivalent H(curl)- and H(div)-conforming hierarchic prismatic finite elements of arbitrary polynomial degrees, satisfying De Rham diagram on hybrid tetrahedral-prismatic-hexahedral meshes. We also present suitable H(curl)- and H(div)-conforming reference maps that preserve the commutativity of the De Rham diagram.","PeriodicalId":342521,"journal":{"name":"J. Num. Math.","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes\",\"authors\":\"P. Solín, K. Segeth\",\"doi\":\"10.1515/156939505775248329\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a new sequence of affine-equivalent H(curl)- and H(div)-conforming hierarchic prismatic finite elements of arbitrary polynomial degrees, satisfying De Rham diagram on hybrid tetrahedral-prismatic-hexahedral meshes. We also present suitable H(curl)- and H(div)-conforming reference maps that preserve the commutativity of the De Rham diagram.\",\"PeriodicalId\":342521,\"journal\":{\"name\":\"J. Num. Math.\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"J. Num. Math.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/156939505775248329\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Num. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/156939505775248329","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes
This paper presents a new sequence of affine-equivalent H(curl)- and H(div)-conforming hierarchic prismatic finite elements of arbitrary polynomial degrees, satisfying De Rham diagram on hybrid tetrahedral-prismatic-hexahedral meshes. We also present suitable H(curl)- and H(div)-conforming reference maps that preserve the commutativity of the De Rham diagram.
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