Sobolev方程各向异性非协调混合元的超逼近分析  

Superclose analysis for Sobolev equations with nonconforming finite element

作　　者：白春阳[1] 石东伟[1] 

机构地区：[1]河南科技学院,河南新乡453003

出　　处：《河南科技学院学报（自然科学版）》2011年第6期53-57,共5页Journal of Henan Institute of Science and Technology(Natural Science Edition)

摘　　要：研究Sobolev方程的非协调Galerkin混合有限元方法.对Sobolev方程进行了Galerkin逼近,并且利用单元的特殊性质在不需要Ritz投影情况下得到了超逼近性,最后利用插值后处理给出了一类新的混合元格式的收敛性分析和超逼近结果.In this paper,we focus on the study of the applications of nonconforming Galerkin mixed finite element method for Sobolev equations.Galerkin applications of sobolev equationis stuied with the new mixed finite element,and the superclose property is obtained based on some novel techniques and typical characters of the element itself without requiring the Ritz projection.At last,onvergence analysis and the superclose property of the anisotropic finite element are presented through interpolate post-processing techniques.

关 键 词：Sobloev方程 非协调 GALERKIN逼近 收敛性分析 超逼近 

分 类 号：O241[理学—计算数学]