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 |
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