Adaptive finite element method for elliptic optimal control problems: convergence and optimality
The authors consider the convergence analysis of the adaptive finite element method for elliptic optimal control problems with pointwise control constraints. Variational discretization concepts are used to discretize the control variable and piecewise linear and continuous finite elements to approximate the state variable. The convergence and quasi-optimality of the method is proved, by using the so-called perturbation argument. Numerical tests confirm the given theoretical analysis.
scientific article