Pub Date : 2012-01-01DOI: 10.1007/978-3-642-29317-7_10
Shan Chun
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Pub Date : 2008-01-01DOI: 10.2174/1876389800901010001
Gu Hai-ming, Lin Hongwei, Xie Bing
A least-squares mixed finite element method for the numerical solution of second order elliptic equations is analyzed and developed in this paper.The quadratic nonconforming and Raviart-Thomas finite element spaces are used to approximate.The aposteriori error estimator which is needed in the adaptive refinement algorithm is proposed.The local evaluation of the least-squares functional serves as a posteriori error estimator.The posteriori errors are effectively estimated.
{"title":"An Adaptive Least-Squares Mixed Finite Element Method for Fourth- Order Elliptic Equations","authors":"Gu Hai-ming, Lin Hongwei, Xie Bing","doi":"10.2174/1876389800901010001","DOIUrl":"https://doi.org/10.2174/1876389800901010001","url":null,"abstract":"A least-squares mixed finite element method for the numerical solution of second order elliptic equations is analyzed and developed in this paper.The quadratic nonconforming and Raviart-Thomas finite element spaces are used to approximate.The aposteriori error estimator which is needed in the adaptive refinement algorithm is proposed.The local evaluation of the least-squares functional serves as a posteriori error estimator.The posteriori errors are effectively estimated.","PeriodicalId":16928,"journal":{"name":"Journal of Qingdao University of Science and Technology","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86870471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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