On the finite element approximation of variational inequalities with noncoercive operators

Messaoud Boulbrachene

doi:10.1080/01630563.2015.1056913

On the finite element approximation of variational inequalities with noncoercive operators

Messaoud Boulbrachene^*

^*Corresponding author for this work

Mathematics & Statistics

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

4 Citations (Scopus)

Abstract

In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ^∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.

Original language	English
Pages (from-to)	1107-1121
Number of pages	15
Journal	Numerical Functional Analysis and Optimization
Volume	36
Issue number	9
DOIs	https://doi.org/10.1080/01630563.2015.1056913
Publication status	Published - Sep 2 2015

Keywords

Bensoussan-Lions algorithm
Finite elements
L ∞-error estimate
Subsolution
Variational inequalities

ASJC Scopus subject areas

Analysis
Control and Optimization
Signal Processing
Computer Science Applications

Access to Document

10.1080/01630563.2015.1056913

Fingerprint Dive into the research topics of 'On the finite element approximation of variational inequalities with noncoercive operators'. Together they form a unique fingerprint.

Cite this

@article{fe068a2e6af64e258429dcd8c8b58c0f,

title = "On the finite element approximation of variational inequalities with noncoercive operators",

abstract = "In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.",

keywords = "Bensoussan-Lions algorithm, Finite elements, L ∞-error estimate, Subsolution, Variational inequalities",

author = "Messaoud Boulbrachene",

year = "2015",

month = sep,

day = "2",

doi = "10.1080/01630563.2015.1056913",

language = "English",

volume = "36",

pages = "1107--1121",

journal = "Numerical Functional Analysis and Optimization",

issn = "0163-0563",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - On the finite element approximation of variational inequalities with noncoercive operators

AU - Boulbrachene, Messaoud

PY - 2015/9/2

Y1 - 2015/9/2

N2 - In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.

AB - In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.

KW - Bensoussan-Lions algorithm

KW - Finite elements

KW - L ∞-error estimate

KW - Subsolution

KW - Variational inequalities

UR - http://www.scopus.com/inward/record.url?scp=84940370055&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84940370055&partnerID=8YFLogxK

U2 - 10.1080/01630563.2015.1056913

DO - 10.1080/01630563.2015.1056913

M3 - Article

AN - SCOPUS:84940370055

VL - 36

SP - 1107

EP - 1121

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

SN - 0163-0563

IS - 9

ER -

On the finite element approximation of variational inequalities with noncoercive operators

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this