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Robust residual a posteriori error estimators for the Reissner–Mindlin eigenvalues system
-
E. Creusé
,
S. Nicaise
and
Emmanuel Verhille
Published/Copyright:
June 1, 2013
Abstract
We consider a conforming finite element approximation of the Reissner- Mindlin eigenvalue system, for which a robust a posteriori error estimator for the eigenvector and the eigenvalue errors is proposed. For that purpose, we first perform a robust a priori error analysis without strong regularity assumption. Upper and lower bounds are then obtained up to higher order terms that are superconvergent, provided that the eigenvalue is simple. The convergence rate of the proposed estimator is confirmed by a numerical test.
Published Online: 2013-06-01
Published in Print: 2013-06
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Robust residual a posteriori error estimators for the Reissner–Mindlin eigenvalues system
- Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators
- A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs
Keywords for this article
Reissner-Mindlin plate;
finite elements;
a posteriori error estimators;
eigenvalues
Articles in the same Issue
- Masthead
- Robust residual a posteriori error estimators for the Reissner–Mindlin eigenvalues system
- Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators
- A class of hybrid linear multistep methods with A(ɑ)-stability properties for stiff IVPs in ODEs
