两类各向异性非协调元的某些超收敛性质分析  

SUPERCONVERGENCE ANALYSIS OF TWO KINDS OF ANISOTROPIC NONCONFORMING FINITE ELEMENTS

作　　者：石东洋[1] 汪松玉[1] 陈绍春[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《计算数学》2007年第3期263-272,共10页Mathematica Numerica Sinica

基　　金：国家自然科学基金(No.10371113;10671184)项目资助.

摘　　要：在各向异性网格下,讨论了两类非协调矩形元对二阶椭圆边值问题的某些超逼近性和超收敛性,并证明了在单元中心点这种超收敛性仅为一种点态现象.数值结果验证了我们理论分析的正确性.The superclose and superconvergence of two nonconforming rectangular elements＇ approximations to a class of second order elliptic problems are discussed on anisotropic meshes. It is also proved that the above supercovergence at the central point of the element is only pointwise phenomenon. Numerical results are presented to verify our theoretical analysis.

关 键 词：各向异性网格 非协调元 超逼近 超收敛 点态现象 

分 类 号：O241.5[理学—计算数学]