A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an error estimator of t...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03770427_v269_n_p132_Armentano |
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todo:paper_03770427_v269_n_p132_Armentano2023-10-03T15:31:29Z A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem Armentano, M.G. Moreno, V. A posteriori error estimates Stabilized mixed methods Stokes eigenvalue problem Error analysis Estimation A-posteriori error estimates Error estimators Higher order terms Mixed finite element methods Mixed finite elements Mixed method Priori error estimate Stokes eigenvalue problems Eigenvalues and eigenfunctions In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order terms, the estimator is equivalent to the energy norm of the error. We also present some numerical tests which show the performance of the adaptive scheme. © 2014 Elsevier B.V. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03770427_v269_n_p132_Armentano |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
A posteriori error estimates Stabilized mixed methods Stokes eigenvalue problem Error analysis Estimation A-posteriori error estimates Error estimators Higher order terms Mixed finite element methods Mixed finite elements Mixed method Priori error estimate Stokes eigenvalue problems Eigenvalues and eigenfunctions |
| spellingShingle |
A posteriori error estimates Stabilized mixed methods Stokes eigenvalue problem Error analysis Estimation A-posteriori error estimates Error estimators Higher order terms Mixed finite element methods Mixed finite elements Mixed method Priori error estimate Stokes eigenvalue problems Eigenvalues and eigenfunctions Armentano, M.G. Moreno, V. A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem |
| topic_facet |
A posteriori error estimates Stabilized mixed methods Stokes eigenvalue problem Error analysis Estimation A-posteriori error estimates Error estimators Higher order terms Mixed finite element methods Mixed finite elements Mixed method Priori error estimate Stokes eigenvalue problems Eigenvalues and eigenfunctions |
| description |
In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order terms, the estimator is equivalent to the energy norm of the error. We also present some numerical tests which show the performance of the adaptive scheme. © 2014 Elsevier B.V. All rights reserved. |
| format |
JOUR |
| author |
Armentano, M.G. Moreno, V. |
| author_facet |
Armentano, M.G. Moreno, V. |
| author_sort |
Armentano, M.G. |
| title |
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem |
| title_short |
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem |
| title_full |
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem |
| title_fullStr |
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem |
| title_full_unstemmed |
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem |
| title_sort |
posteriori error estimates of stabilized low-order mixed finite elements for the stokes eigenvalue problem |
| url |
http://hdl.handle.net/20.500.12110/paper_03770427_v269_n_p132_Armentano |
| work_keys_str_mv |
AT armentanomg aposteriorierrorestimatesofstabilizedlowordermixedfiniteelementsforthestokeseigenvalueproblem AT morenov aposteriorierrorestimatesofstabilizedlowordermixedfiniteelementsforthestokeseigenvalueproblem AT armentanomg posteriorierrorestimatesofstabilizedlowordermixedfiniteelementsforthestokeseigenvalueproblem AT morenov posteriorierrorestimatesofstabilizedlowordermixedfiniteelementsforthestokeseigenvalueproblem |
| _version_ |
1807315662055407616 |