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Abstract:

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.

Registro:

Documento: Artículo
Título:A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
Autor:Armentano, M.G.; Moreno, V.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IMAS, Conicet, 1428, Buenos Aires, Argentina
Palabras clave: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
Año:2014
Volumen:269
Página de inicio:132
Página de fin:149
DOI: http://dx.doi.org/10.1016/j.cam.2014.03.027
Título revista:Journal of Computational and Applied Mathematics
Título revista abreviado:J. Comput. Appl. Math.
ISSN:03770427
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770427_v269_n_p132_Armentano

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Citas:

---------- APA ----------
Armentano, M.G. & Moreno, V. (2014) . A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem. Journal of Computational and Applied Mathematics, 269, 132-149.
http://dx.doi.org/10.1016/j.cam.2014.03.027
---------- CHICAGO ----------
Armentano, M.G., Moreno, V. "A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem" . Journal of Computational and Applied Mathematics 269 (2014) : 132-149.
http://dx.doi.org/10.1016/j.cam.2014.03.027
---------- MLA ----------
Armentano, M.G., Moreno, V. "A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem" . Journal of Computational and Applied Mathematics, vol. 269, 2014, pp. 132-149.
http://dx.doi.org/10.1016/j.cam.2014.03.027
---------- VANCOUVER ----------
Armentano, M.G., Moreno, V. A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem. J. Comput. Appl. Math. 2014;269:132-149.
http://dx.doi.org/10.1016/j.cam.2014.03.027