Sobolev方程的各向异性有限元的高精度分析  

High accuracy analysis for Sobolev equation with anisotropic bilinear and biquaratic elements

作　　者：吴景珠[1] 石东洋[1] 

机构地区：[1]郑州大学数学系,河南郑州450052

出　　处：《河南科学》2004年第6期727-729,共3页Henan Science

基　　金：国家自然科学基金资助项目(10371113);河南省高校创新人才培养工程(2002(129));国家人事部留学回国择优资助项目(2001(219))

摘　　要：利用具有各向异性特征的双线性元和双二次元对Sobolev方程进行Galerkin逼近,摆脱了对网格剖分满足正则性条件的要求,同时,利用积分恒等式技巧,得到了与传统方法相同的超逼近结果。In this paper, Galerkin approximation of Sobolev equation is studied with anisotropic bilinear and biquaratic elements without the restriction of the regularity of triangulation. Meanwhile, the superclose result coincides with the conventional methods is obtained by means of integral identities techniques.

关 键 词：SOBOLEV方程 各向异性 超逼近 积分恒等式 

分 类 号：O241.21[理学—计算数学]