摘要
主要目的是在各向异性网格下研究二阶椭圆特征值问题的两类非协调有限元—类Wilson矩形元和Carey三角形元—的收敛性分析.通过新的技巧和方法,得到了与传统有限元网格剖分下相同的特征对的最优误差估计.推广了已有的结果.
In this paper the main interest is that the error estimates of the second order elliptic eigenvalue problems are studied by two kinds of nonconforming finite elements, Quasi-Wilson rectangular element and Carey triangular element, on anisotrepic meshes. By using the new techniques, the convergence analysis is presented and the optimal error estimates of eigenpair are obtained. The results of this paper can be regarded as a generalization to previous works. Thus the applicable scope of finite element methods is enlarged.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第7期300-309,共10页
Mathematics in Practice and Theory
基金
由国家自然科学基金(10371113
10471133)
河南省自然科学基金(0611053100)
河南省教委自然科学基金(2006110011)
