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Abstract:

For the Lagrange interpolation it is known that optimal order error estimates hold for elements satisfying the maximum angle condition. The objective of this paper is to obtain similar results for the Raviart-Thomas interpolation arising in the analysis of mixed methods. We prove that optimal order error estimates hold under the maximum angle condition for this interpolation both in two and three dimensions and, moreover, that this condition is indeed necessary to have these estimates. Error estimates for the mixed approximation of second order elliptic problems and for the nonconforming piecewise linear approximation of the Stokes equations are derived from our results.

Registro:

Documento: Artículo
Título:The maximum angle condition for mixed and nonconforming elements: Application to the stokes equations
Autor:Acosta, G.; Durán, R.G.
Filiación:Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave:Maximum angle; Mixed; Nonconforming; Raviart-Thomas; Stokes
Año:2000
Volumen:37
Número:1
Página de inicio:18
Página de fin:36
Título revista:SIAM Journal on Numerical Analysis
Título revista abreviado:SIAM J Numer Anal
ISSN:00361429
CODEN:SJNAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00361429_v37_n1_p18_Acosta

Referencias:

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Citas:

---------- APA ----------
Acosta, G. & Durán, R.G. (2000) . The maximum angle condition for mixed and nonconforming elements: Application to the stokes equations. SIAM Journal on Numerical Analysis, 37(1), 18-36.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00361429_v37_n1_p18_Acosta [ ]
---------- CHICAGO ----------
Acosta, G., Durán, R.G. "The maximum angle condition for mixed and nonconforming elements: Application to the stokes equations" . SIAM Journal on Numerical Analysis 37, no. 1 (2000) : 18-36.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00361429_v37_n1_p18_Acosta [ ]
---------- MLA ----------
Acosta, G., Durán, R.G. "The maximum angle condition for mixed and nonconforming elements: Application to the stokes equations" . SIAM Journal on Numerical Analysis, vol. 37, no. 1, 2000, pp. 18-36.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00361429_v37_n1_p18_Acosta [ ]
---------- VANCOUVER ----------
Acosta, G., Durán, R.G. The maximum angle condition for mixed and nonconforming elements: Application to the stokes equations. SIAM J Numer Anal. 2000;37(1):18-36.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00361429_v37_n1_p18_Acosta [ ]