L Error Estimate for the Noncoercive Impulse Control QVI: A New Approach

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Abstract

In this paper, we introduce a new method to analyze the convergence of the standard finite element method for the noncoercive impulse control quasi-variational inequality (QVI). L convergence of the approximation is derived as a result of the geometrical convergence of a Bensoussan–Lions algorithm type and uniform error estimate between the continuous algorithm and its finite element counterpart. This approach is completely different from the one inroduced in [2] as it enables us to derive the error estimate through a computational iterative scheme.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalComputational Mathematics and Modeling
DOIs
Publication statusAccepted/In press - Aug 9 2016

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Keywords

  • algorithm
  • finite element
  • L error estimate
  • quasi-variational inequalities

ASJC Scopus subject areas

  • Computational Mathematics

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