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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论