Superconvergence for rectangular mixed finite elements

In this paper we prove superconvergence error estimates for the vector variable for mixed finite element approximations of second order elliptic problems. For the rectangular finite elements of Raviart and Thomas and for those of Brezzi et al. we prove that the distance in L 2 between the approximat...

Descripción completa

Detalles Bibliográficos
Autor principal: Durán, Ricardo Guillermo
Formato: Articulo
Lenguaje:Inglés
Publicado: 1990
Materias:
Matemática
Ciencias Exactas
Superconvergence
Rectangular finite elements
Gaussian points
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/145107
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-145107
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ciencias Exactas
Superconvergence
Rectangular finite elements
Gaussian points
spellingShingle Matemática
Ciencias Exactas
Superconvergence
Rectangular finite elements
Gaussian points
Durán, Ricardo Guillermo
Superconvergence for rectangular mixed finite elements
topic_facet Matemática
Ciencias Exactas
Superconvergence
Rectangular finite elements
Gaussian points
description In this paper we prove superconvergence error estimates for the vector variable for mixed finite element approximations of second order elliptic problems. For the rectangular finite elements of Raviart and Thomas and for those of Brezzi et al. we prove that the distance in L 2 between the approximate solution and a projection of the exact one is of higher order than the error itself. This result is exploited to obtain superconvergence at Gaussian points and to construct higher order approximations by a local postprocessing.
format Articulo
Articulo
author Durán, Ricardo Guillermo
author_facet Durán, Ricardo Guillermo
author_sort Durán, Ricardo Guillermo
title Superconvergence for rectangular mixed finite elements
title_short Superconvergence for rectangular mixed finite elements
title_full Superconvergence for rectangular mixed finite elements
title_fullStr Superconvergence for rectangular mixed finite elements
title_full_unstemmed Superconvergence for rectangular mixed finite elements
title_sort superconvergence for rectangular mixed finite elements
publishDate 1990
url http://sedici.unlp.edu.ar/handle/10915/145107
work_keys_str_mv AT duranricardoguillermo superconvergenceforrectangularmixedfiniteelements
bdutipo_str Repositorios
_version_ 1764820460159107074

Ejemplares similares