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 | |
| Publication status | Published - Sep 2 2015 |
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Keywords
- Bensoussan-Lions algorithm
- Finite elements
- L <sup>∞</sup>-error estimate
- Subsolution
- Variational inequalities
ASJC Scopus subject areas
- Analysis
- Control and Optimization
- Signal Processing
- Computer Science Applications
Cite this
On the finite element approximation of variational inequalities with noncoercive operators. / Boulbrachene, Messaoud.
In: Numerical Functional Analysis and Optimization, Vol. 36, No. 9, 02.09.2015, p. 1107-1121.Research output: Contribution to journal › Article
}
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 <sup>∞</sup>-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 -