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

https://doi.org/10.1016/j.cam.2004.12.015Get rights and content
Under an Elsevier user license
open archive

Abstract

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.

MSC

65N25
65N30
65N15

Keywords

Biharmonic eigenvalue problem
Mixed method
Finite element approximation
Postprocessing

Cited by (0)