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Abstract:

We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp. © 2016 Elsevier B.V.

Registro:

Documento: Artículo
Título:The minimal angle condition for quadrilateral finite elements of arbitrary degree
Autor:Acosta, G.; Monzón, G.
Filiación:Universidad de Buenos Aires, IMAS-CONICET, Departamento de Matematica, Pabellón I Facultad de Ciencias Exactas y Naturales, Buenos Aires, 1428, Argentina
Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150, (1613) Los Polvorines, Buenos Aires, Argentina
Palabras clave:Anisotropic finite elements; Lagrange interpolation; Maximum angle condition; Minimum angle condition; Quadrilateral elements; Interpolation; Anisotropic finite elements; Lagrange interpolations; Maximum angle condition; Minimum angle condition; Quadrilateral elements; Lagrange multipliers
Año:2017
Volumen:317
Página de inicio:218
Página de fin:234
DOI: http://dx.doi.org/10.1016/j.cam.2016.11.041
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_v317_n_p218_Acosta

Referencias:

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Citas:

---------- APA ----------
Acosta, G. & Monzón, G. (2017) . The minimal angle condition for quadrilateral finite elements of arbitrary degree. Journal of Computational and Applied Mathematics, 317, 218-234.
http://dx.doi.org/10.1016/j.cam.2016.11.041
---------- CHICAGO ----------
Acosta, G., Monzón, G. "The minimal angle condition for quadrilateral finite elements of arbitrary degree" . Journal of Computational and Applied Mathematics 317 (2017) : 218-234.
http://dx.doi.org/10.1016/j.cam.2016.11.041
---------- MLA ----------
Acosta, G., Monzón, G. "The minimal angle condition for quadrilateral finite elements of arbitrary degree" . Journal of Computational and Applied Mathematics, vol. 317, 2017, pp. 218-234.
http://dx.doi.org/10.1016/j.cam.2016.11.041
---------- VANCOUVER ----------
Acosta, G., Monzón, G. The minimal angle condition for quadrilateral finite elements of arbitrary degree. J. Comput. Appl. Math. 2017;317:218-234.
http://dx.doi.org/10.1016/j.cam.2016.11.041