A fixed-point approximation method for some noncoercive variational problems

M. Boulbrachene

doi:10.1016/s0898-1221(00)00061-4

A fixed-point approximation method for some noncoercive variational problems

M. Boulbrachene

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the finite-element approximation of some variational problems, namely, linear elliptic boundary value problems, variational inequalities, and quasi-variational inequalities with noncoercive operators. To prove optimal L^∞-error estimates, we introduce a simple and direct argument combining continuous piecewise linear finite elements with the Banach fixed-point theorem.

Original language	English
Pages (from-to)	17-27
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	39
Issue number	7-8
DOIs	https://doi.org/10.1016/s0898-1221(00)00061-4
Publication status	Published - Mar 1 2000

Keywords

Boundary value problem
Finite element
Fixed point
Quasi-variational inequality
Variational inequality

ASJC Scopus subject areas

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/s0898-1221(00)00061-4

Cite this

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AB - This paper deals with the finite-element approximation of some variational problems, namely, linear elliptic boundary value problems, variational inequalities, and quasi-variational inequalities with noncoercive operators. To prove optimal L∞-error estimates, we introduce a simple and direct argument combining continuous piecewise linear finite elements with the Banach fixed-point theorem.

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KW - Finite element

KW - Fixed point

KW - Quasi-variational inequality

KW - Variational inequality

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JO - Computers and Mathematics with Applications

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ER -

A fixed-point approximation method for some noncoercive variational problems

Abstract

Keywords

ASJC Scopus subject areas

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