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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year

IMPACT FACTOR 2017: 0.658

CiteScore 2017: 1.05

SCImago Journal Rank (SJR) 2017: 1.291
Source Normalized Impact per Paper (SNIP) 2017: 0.893

Mathematical Citation Quotient (MCQ) 2017: 0.76

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Volume 14, Issue 4


Adaptive Nonconforming Finite Element Approximation of Eigenvalue Clusters

Dietmar Gallistl
Published Online: 2014-07-18 | DOI: https://doi.org/10.1515/cmam-2014-0020


This paper analyses an adaptive nonconforming finite element method for eigenvalue clusters of self-adjoint operators and proves optimal convergence rates (with respect to the concept of nonlinear approximation classes) for the approximation of the invariant subspace spanned by the eigenfunctions of the eigenvalue cluster. Applications include eigenvalues of the Laplacian and of the Stokes system.

Keywords: Eigenvalue Problem; Eigenvalue Cluster; Adaptive Finite Element Method; Stokes Operator; Optimality

MSC: 65M12; 65M60; 65N25

About the article

Received: 2014-04-18

Accepted: 2014-06-27

Published Online: 2014-07-18

Published in Print: 2014-10-01

Citation Information: Computational Methods in Applied Mathematics, Volume 14, Issue 4, Pages 509–535, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2014-0020.

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