各向异性网格下二阶椭圆齐边值问题的双线性元的超收敛性分析

Superconvergence of Bilinear Finite Element for Second Order Elliptic Boundary Value Problem on Anisotropic Meshes

利用Bramble-Hilbert引理,给出了二阶椭圆齐次边值问题的双线性元在各向异性网格下的整体超收敛结果.

Using Bramble-Hilbert lemma, the global superconvergence of bilinear finite element for second order elliptic boundary value problem is obtained on anisotropic meshes in this paper. The result is valuable by numerical tests given in the last paragraph of the paper.