Sobolev型方程混合有限元解的超收敛分析  

Analysis for the superconvergence of the mixed finite element solution to Sobolev equation

作　　者：魏菁[1,2] 胡兵[1] 杨垚[1] 

机构地区：[1]四川大学数学学院,成都610064 [2]西安财经学院,西安710061

出　　处：《四川大学学报（自然科学版）》2009年第1期47-51,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(10201025)

摘　　要：作者考虑了二维Sobolev型方程混合有限元解的超收敛问题。通过在矩形网格上构造混合有限元空间,并利用积分恒等式对方程的解进行高精度算法分析,作者获得了解的超逼近性质和插值有限元解的整体超收敛结果。数值实验验证了方法的有效性。It is studied that the superconvergence property of the mixed finite element solution of the linear Sobolev equation. The integral identities are used to obtain the approximation of higher accuracy of the mixed finite elements defined on rectangles, the global superconvergence is obtained are also derived. The numerical results show that the methods are effective.

关 键 词：SOBOLEV方程 混合有限元 超收敛 

分 类 号：O241.82[理学—计算数学]