Abstract
AbstractWe consider an optimal control problem governed by an elliptic variational inequality of the second kind. The problem is discretized by linear finite elements for the state and a variational discrete approach for the control. We derive nearly optimal a priori error estimates based on L∞‐error estimates for the variational inequality and a quadratic growth condition. Our error analysis yields a convergence rate of order 1 − ϵ for the L2‐norm of the control.
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