L ∞ $L^{\infty}$ -error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem

Abstract

Abstract The generalized Schwarz algorithm for a class of elliptic quasi-variational inequalities related to impulse control problems is studied in this paper. The principal result is to prove the error estimate in L ∞ $L^{\infty}$ -norm for m subdomains with overlapping nonmatching grids. This approach combines the geometrical convergence and the uniform convergence.

Keywords

• Quasivariational inequalities
• Schwarz algorithm
• Finite-element method
• L ∞ $L^{\infty}$ error estimate