Abstract
AbstractWe consider an elliptic optimal control problem with control and pointwise state constraints. The cost functional is approximated by a sequence of functionals which are obtained by discretizing the state equation with the help of linear finite elements and enforcing the state constraints in the nodes of the triangulation. The control variable is not discretized. A general error bound for control and state is obtained which forms the starting point for optimal error estimates in both in two and three space dimensions. For the numerical implementation of the discrete concept fix‐point iterations or generalized Newton methods are proposed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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