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 |
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Pages (from-to) | 1107-1121 |
Number of pages | 15 |
Journal | Numerical Functional Analysis and Optimization |
Volume | 36 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sept 2 2015 |
Keywords
- Bensoussan-Lions algorithm
- Finite elements
- L -error estimate
- Subsolution
- Variational inequalities
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization