On mixed finite element techniques for elliptic problems
type: Item
instance of: scholarly article
title: On mixed finite element techniques for elliptic problems
zbMATH Open document ID: 0531.65055
DOI: 10.1155/S0161171283000642
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45221
review text: Summary: The main aim of this paper is to consider the numerical approximation of mildly nonlinear elliptic problems by means of finite element methods of mixed type. The technique is based on an extended variational principle, in which the constraint of interelement continuity has been removed at the expense of introducing a Lagrange multiplier. It is shown that the saddle point, which minimizes the energy functional over the product space, is characterized by the variational equations. The equivalence is used in deriving the error estimates for the finite element approximations. We give an example of a mildly nonlinear elliptic problem and show how the error estimates can be obtaind from the general results.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 3843103
zbMATH Keywords: mixed finite element
zbMATH Keywords: error analysis
zbMATH Keywords: mildly nonlinear
zbMATH Keywords: extended variational principle
zbMATH Keywords: Lagrange multiplier
author: Muhammad Aslam Noor
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3843103