On the finite element approximation of elliptic QVIs with noncoercive operators

Messaoud Boulbrachene

doi:10.1002/mma.5345

On the finite element approximation of elliptic QVIs with noncoercive operators

Messaoud Boulbrachene^*

^*Corresponding author for this work

Mathematics

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

1 Citation (Scopus)

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 language	English
Pages (from-to)	5305-5316
Number of pages	12
Journal	Mathematical Methods in the Applied Sciences
Volume	42
Issue number	16
DOIs	https://doi.org/10.1002/mma.5345
Publication status	Published - Nov 15 2019

Keywords

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

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.5345

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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.",

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AB - 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.

KW - bensoussan-lions algorithm

KW - error estimates

KW - finite elements

KW - quasi-variational inequalities

KW - subsolutions

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On the finite element approximation of elliptic QVIs with noncoercive operators

Abstract

Keywords

ASJC Scopus subject areas

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