{"title":"浸入式有限元法的最优收敛分析","authors":"Shuyan Wang, Huanzhen Chen","doi":"10.1109/ICIST.2011.5765248","DOIUrl":null,"url":null,"abstract":"We present a new proof for optimal-convergence of an immersed interface finite element method based on linear polynomials on non-interface triangular elements and modified linear polynomials on interface triangular elements. Optimal-order error estimates are derived in the broken H1-norm and L2-norm by using the well-known bilinear lemma. The proof seems to be more concise and direct.","PeriodicalId":6408,"journal":{"name":"2009 International Conference on Environmental Science and Information Application Technology","volume":"1 1","pages":"255-258"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The optimal convergence analysis for an immersed finite element method\",\"authors\":\"Shuyan Wang, Huanzhen Chen\",\"doi\":\"10.1109/ICIST.2011.5765248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a new proof for optimal-convergence of an immersed interface finite element method based on linear polynomials on non-interface triangular elements and modified linear polynomials on interface triangular elements. Optimal-order error estimates are derived in the broken H1-norm and L2-norm by using the well-known bilinear lemma. The proof seems to be more concise and direct.\",\"PeriodicalId\":6408,\"journal\":{\"name\":\"2009 International Conference on Environmental Science and Information Application Technology\",\"volume\":\"1 1\",\"pages\":\"255-258\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Conference on Environmental Science and Information Application Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIST.2011.5765248\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Environmental Science and Information Application Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2011.5765248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The optimal convergence analysis for an immersed finite element method
We present a new proof for optimal-convergence of an immersed interface finite element method based on linear polynomials on non-interface triangular elements and modified linear polynomials on interface triangular elements. Optimal-order error estimates are derived in the broken H1-norm and L2-norm by using the well-known bilinear lemma. The proof seems to be more concise and direct.
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