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

M. Boulbrachene

doi:10.1007/s10598-016-9338-x

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

M. Boulbrachene^*

^*Corresponding author for this work

Mathematics & Statistics

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

2 Citations (Scopus)

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 language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Computational Mathematics and Modeling
DOIs	https://doi.org/10.1007/s10598-016-9338-x
Publication status	Accepted/In press - Aug 9 2016

Keywords

algorithm
finite element
L error estimate
quasi-variational inequalities

ASJC Scopus subject areas

Computational Mathematics

Access to Document

10.1007/s10598-016-9338-x

Cite this

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