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Sharp a posteriori error estimate for elliptic equation with singular data
Yuan, Gang ; Li, Ruo
2011
关键词L-p space finite element method adaptive mesh refinement a posteriori error estimate FINITE-ELEMENT METHODS
英文摘要We introduce two residual type a posteriori error estimators for second-order elliptic partial differential equations with its right-hand side in L (p) (1 < p a (c) 1/2 2) space. Both estimators are proved to yield global upper and local lower bounds for the W (1,p) seminorm of the error. We adopt the estimators as the indicators in h-mesh adaptive method to solve two typical model problems. It is verified by the numerical results that the estimators lead to optimal orders of convergence.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000286193500013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 0; ARTICLE; 1; 177-202; 6
语种英语
出处SCI
出版者frontiers of mathematics in china
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/314448]  
专题数学科学学院
推荐引用方式
GB/T 7714
Yuan, Gang,Li, Ruo. Sharp a posteriori error estimate for elliptic equation with singular data. 2011-01-01.
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