On the finite element approximation of elliptic QVIs with noncoercive operators

Research output: Contribution to journalArticle

Abstract

In this paper, we extend the approach developed by the author for the standard finite element method in the L-norm of the noncoercive variational inequalities (VI) (Numer Funct Anal Optim.2015;36:1107-1121.) to impulse control quasi-variational inequality (QVI). We derive the optimal error estimate, combining the so-called Bensoussan-Lions Algorithm and the concept of subsolutions for VIs.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusAccepted/In press - Jan 1 2018

Fingerprint

Impulse Control
Subsolution
Quasi-variational Inequalities
Optimal Error Estimates
Finite Element Approximation
Variational Inequalities
Finite Element Method
Norm
Finite element method
Operator
Concepts
Standards

Keywords

  • bensoussan-lions algorithm
  • error estimates
  • finite elements
  • quasi-variational inequalities
  • subsolutions

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

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