摘要
在各向异性网格下首先研究了二阶椭圆特征值问题算子谱逼近的若干抽象结果.然后将这些结果具体应用于线性和双线性Lagrange型协调有限元,得到了与传统有限元网格剖分下相同的最优误差估计,从而拓宽了已有的成果.
Some abstract conclusions for the spectrum approximation of compact operators to the second order elliptic eigenvalue problems are first studied on the anisotropic meshes. These results then are applied to Lagrange type linear and bilinear finite elements respectively. The optimal error estimates are obtained which are the same as on the conventional regular or quasi-uniform meshes. Thus the results of traditional finite element methods are extended.
出处
《应用数学》
CSCD
北大核心
2006年第3期512-518,共7页
Mathematica Applicata
基金
国家自然科学基金资助项目(10371113)
河南省教育厅自然科学基金资助项目(2006110011)
关键词
特征值问题
算子谱逼近
Lagrange型有限元
各向异性网格
最优误差估计
Eigenvalue problems
Spectrum approximation of compact operators
Lagrange type finite element
Anisotropic meshes
Optimal error estimates