Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

被引：37
作者：
Andreev, AB
Lazarov, RD
Racheva, MR
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Tech Univ Gabrovo, Dept Appl Informat, Gabrovo, Bulgaria
[3] Chalmers Univ Technol, Dept Computat Math, Gothenburg, Sweden
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 182卷 / 02期
基金：
美国国家科学基金会;
关键词：
biharmonic eigenvalue problem; mixed method; finite element approximation; postprocessing;
D O I：
10.1016/j.cam.2004.12.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new procedure for accelerating the convergence of mixed finite element approximations of the eigenpairs and of the biharmonic operator is proposed. It is based on a postprocessing technique that involves an additional solution of a source problem on an augmented finite element space. This space could be obtained either by substantially refining the grid, the two-grid method, or by using the same grid but increasing the order of polynomials by one, the two-space method. The numerical results presented and discussed in the paper illustrate the efficiency of the postprocessing method. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：333 / 349
页数：17
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