In this paper, we introduce a new method to analyze the convergence of the standard finite element method for the noncoercive impulse control quasi-variational inequality (QVI). L∞ convergence of the approximation is derived as a result of the geometrical convergence of a Bensoussan–Lions algorithm type and uniform error estimate between the continuous algorithm and its finite element counterpart. This approach is completely different from the one inroduced in  as it enables us to derive the error estimate through a computational iterative scheme.
- finite element
- L error estimate
- quasi-variational inequalities
ASJC Scopus subject areas
- Computational Mathematics