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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2002

Superconvergence Postprocessing for Eigenvalues

  • Milena R. Racheva EMAIL logo and Andrey B. Andreev


The main goal of this paper is to present a new strategy of increasing the convergence rate for the numerical solution of the linear finite element eigenvalue problems. This is done by introducing a postprocessing technique for eigenvalues. The postprocessing technique deals with solving a corresponding linear elliptic problem. We prove that the proposed algorithm has the superconvergence property of the eigenvalues and this improvement is attained at a small computational cost. Thus, good finite element approximations for eigenvalues are obtained on the coarse mesh. The numerical examples presented and discussed here show that the resulting postprocessing method is computationally more efficient than the method to which it is applied.

Received: 2001-11-01
Revised: 2002-05-11
Accepted: 2002-06-21
Published Online: 2002
Published in Print: 2002

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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