摘要
在各向异性网格下,分别讨论了Sobolev方程在半离散和全离散格式下的一类非协调有限元逼近,得到了与传统有限元方法相同的误差估计和一些超逼近性质.同时在半离散格式下.通过构造具有各向异性特征的插值后处理算子得到了整体超收敛结果.
A kind of nonconforming finite element approximation to Sobolev equations is discussed with semidiscretization and full discretization on anisotropic meshes, respectively. The same optimal error estimates and superclose properties as the traditional finite element methods are derived. Fhrthermore, for the semidiscretization method, the global superconvergence is obtained through constructing an anisotropic post-processing operator.
出处
《系统科学与数学》
CSCD
北大核心
2009年第1期116-128,共13页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10371113,10671184)资助课题
关键词
SOBOLEV方程
各向异性网格
非协调有限元
后处理技术
超逼近和超收敛
Sobolev equations, anisotropic meshes, nonconforming finite element, postprocessing technique, superclose property and superconvergence.