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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year


IMPACT FACTOR 2016: 1.097

CiteScore 2016: 1.09

SCImago Journal Rank (SJR) 2016: 0.872
Source Normalized Impact per Paper (SNIP) 2016: 0.887

Mathematical Citation Quotient (MCQ) 2016: 0.75

Online
ISSN
1609-9389
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Volume 14, Issue 4 (Oct 2014)

Issues

Adaptive Nonconforming Finite Element Approximation of Eigenvalue Clusters

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

Abstract

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, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2014-0020.

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© 2014 by De Gruyter. Copyright Clearance Center

Citing Articles

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[1]
Stefano Giani, Luka Grubišić, Harri Hakula, and Jeffrey S. Ovall
Applied Mathematics and Computation, 2017
[2]
Dietmar Gallistl
IMA Journal of Numerical Analysis, 2015, Volume 35, Number 4, Page 1779

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