A mixed finite element method for fourth order eigenvalue problems

被引：1
|
作者：
Nataraj, Neela [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 213卷 / 01期
关键词：
Mixed finite element method; Eigenvalues; Eigenvectors; Lagrange multiplier; Orthotropic problem; Vibration analysis; PLATE-BENDING PROBLEMS; IMPLEMENTATION; APPROXIMATIONS; CONVERGENCE;
D O I：
10.1016/j.amc.2009.02.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mixed finite element method for approximating eigenpairs of IV order elliptic eigenvalue problems with Dirichlet boundary conditions has been given. The method can be applied to the vibration analysis of anisotropic/orthotropic/isotropic/biharmonic plates. Computer implementation procedures for this mixed method are given along with the results of numerical experiments. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：60 / 72
页数：13
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