THE FINITE ELEMENT APPROXIMATION OF PARABOLIC QUASI-VARIATIONAL INEQUALITIES RELATED TO IMPULSE CONTROL PROBLEM

摘要

The paper deals with the semi-implicit time scheme combined with a finite element spatial approximation for a class of parabolic quasi-variational inequalities with nonlinear source terms. The convergenceof the iterative scheme is established and a quasi-optimal L∞ -asymptotic behavior is given.