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| 特征值问题的Lagrange型各向异性有限元方法 | |
| 引用本文： | 彭玉成,石东洋. 特征值问题的Lagrange型各向异性有限元方法[J]. 应用数学, 2006, 19(3): 512-518 |
| 作者姓名： | 彭玉成 石东洋 |
| 作者单位： | 郑州大学数学系,河南,郑州,450052 |
| 基金项目： | 国家自然科学基金;河南省教育厅自然科学基金 |
| 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. |
| 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 |
| 文章编号： | 1001-9847(2006)03-0512-07 |
| 收稿时间： | 2005-10-21 |
| 修稿时间： | 2005-10-21 |
Lagrange Type Conforming Finite Element Methods for Eigenvalue Problems on Anisotropic Meshes |
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| PENG Yu-cheng,SHI Dong-yang. Lagrange Type Conforming Finite Element Methods for Eigenvalue Problems on Anisotropic Meshes[J]. Mathematica Applicata, 2006, 19(3): 512-518 | |
| Authors: | PENG Yu-cheng SHI Dong-yang |
| Affiliation: | Dept. of Math. , Zhengzhou University, Zhengzhou 450052, China |
| Abstract: | 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. |
| Keywords: | Eigenvalue problems Spectrum approximation of compact operators Lagrange type finite element Anisotropic meshes Optimal error estimates |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |