Superconvergence of mixed finite element semi-discretizations of two time-dependent problems.
type: Item
instance of: scholarly article
title: Superconvergence of mixed finite element semi-discretizations of two time-dependent problems.
zbMATH Open document ID: 1059.65518
DOI: 10.1023/A:1022220219953
author: J. H. Brandts
published in: Applications of Mathematics
publication date: 2005-05-04T00:00:00Z
full work available at URL: https://eudml.org/doc/33026
review text: The aim of the paper is to extend some superconvergence results for elliptic problems to time dependent problems. Two-dimensional space variables are discretized by a mixed finite element method whereas time remains continuous. Superconvergence error estimates are derived for a diffusion problem. The author also generalizes P. Monk's results for lower order finite element approximation of the Maxwell equations to higher order elements. The obtained order of superconvergence for semidiscrete time dependent schemes is the same as for time independent problems.
reviewed by: Michal Křížek
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 78M10
zbMATH DE Number: 2165516
zbMATH Keywords: superconvergence
zbMATH Keywords: diffusion equation
zbMATH Keywords: Maxwell equations
zbMATH Keywords: mixed elliptic projection
MaRDI profile type: Publication
cites work: Superconvergence and a posteriori error estimation for triangular mixed finite elements
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description: scientific article; zbMATH DE number 2165516