%0 Journal Article
%T A Kind of Nonconforming Finite Element Approximation to Sobolev Equations on Anisotropic Meshes<br>Sobolev方程的一类各向异性非协调有限元逼近
%A SHI Dongyang
%A XIE Pingli
%A <br>石东洋
%J 系统科学与数学
%D 2009
%I 
%X A kind of nonconforming finite element approximation to Sobolev equations is discussed with semidiscretization and full discretization on anisotropic meshes,respectively. The same optimal error estimates and superclose properties as the traditional finite element methods are derived. Furthermore, for the semidiscretization method, the global superconvergence is obtained through constructing an anisotropic post-processing operator.
%K Sobolev equations
%K anisotropic meshes
%K nonconforming finite element
%K post-processing technique
%K superclose property and superconvergence<br>Sobolev方程
%K 各向异性网格
%K 非协调有限元
%K 后处理技术
%K 超逼近和超收敛
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=C615122BDC0CE7777F24F4DC63A1FF8F&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=CA4FD0336C81A37A&sid=8477411EEDB08A86&eid=1F199509C0B6C4D6&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=20