A fixed-point approximation method for some noncoercive variational problems

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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 languageEnglish
Pages (from-to)17-27
Number of pages11
JournalComputers and Mathematics with Applications
Volume39
Issue number7-8
Publication statusPublished - Mar 1 2000

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Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

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