A fixed-point approximation method for some noncoercive variational problems

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)17-27
Number of pages11
JournalComputers and Mathematics with Applications
Issue number7-8
Publication statusPublished - Mar 1 2000


  • 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


Dive into the research topics of 'A fixed-point approximation method for some noncoercive variational problems'. Together they form a unique fingerprint.

Cite this