Superconvergence for rectangular mixed finite elements
type: Item
instance of: scholarly article
title: Superconvergence for rectangular mixed finite elements
zbMATH Open document ID: 0691.65076
DOI: 10.1007/BF01385626
published in: Numerische Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133502
review text: This paper deals with superconvergence for the vector variable in mixed finite element approximations of second order elliptic problems. For the rectangular elements of Raviart and Thomas and for those of Brezzi, Douglas, Fortin and Marini, it is proven that the distance in \(L^ 2\) between the approximate solution and a suitable interpolation 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 simple local post processing.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4131587
zbMATH Keywords: superconvergence
zbMATH Keywords: mixed finite element
zbMATH Keywords: Gaussian points
zbMATH Keywords: local post processing
author: R. G. Durán
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4131587