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Abstract:

In this paper we define and analyze a posteriori error estimators for nonconforming approximations of the Stokes equations. We prove that these estimators are equivalent to an appropriate norm of the error. For the case of piecewise linear elements we define two estimators. Both of them are easy to compute, but the second is simpler because it can be computed using only the right-hand side and the approximate velocity. We show how the first estimator can be generalized to higher-order elements. Finally, we present several numerical examples in which one of our estimators is used for adaptive refinement. © 1995 American Mathematical Society.

Registro:

Documento: Artículo
Título:Error estimators for nonconforming finite element approximations of the stokes problem
Autor:Dari, E.; Duran, R.; Padra, C.
Filiación:Centro Atómico Bariloche, 8400 San Carlos de Bariloche, Río Negro, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas, Universidad de, Buenos Aires, Buenos Aires, 1428, Argentina
Año:1995
Volumen:64
Número:211
Página de inicio:1017
Página de fin:1033
DOI: http://dx.doi.org/10.1090/S0025-5718-1995-1284666-9
Título revista:Mathematics of Computation
Título revista abreviado:Math. Comput.
ISSN:00255718
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255718_v64_n211_p1017_Dari

Referencias:

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  • Babuska, I., Duran, R., Rodriguez, R., Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements (1992) SIAM J. Numer. Anal, 29, pp. 947-964
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Citas:

---------- APA ----------
Dari, E., Duran, R. & Padra, C. (1995) . Error estimators for nonconforming finite element approximations of the stokes problem. Mathematics of Computation, 64(211), 1017-1033.
http://dx.doi.org/10.1090/S0025-5718-1995-1284666-9
---------- CHICAGO ----------
Dari, E., Duran, R., Padra, C. "Error estimators for nonconforming finite element approximations of the stokes problem" . Mathematics of Computation 64, no. 211 (1995) : 1017-1033.
http://dx.doi.org/10.1090/S0025-5718-1995-1284666-9
---------- MLA ----------
Dari, E., Duran, R., Padra, C. "Error estimators for nonconforming finite element approximations of the stokes problem" . Mathematics of Computation, vol. 64, no. 211, 1995, pp. 1017-1033.
http://dx.doi.org/10.1090/S0025-5718-1995-1284666-9
---------- VANCOUVER ----------
Dari, E., Duran, R., Padra, C. Error estimators for nonconforming finite element approximations of the stokes problem. Math. Comput. 1995;64(211):1017-1033.
http://dx.doi.org/10.1090/S0025-5718-1995-1284666-9