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2013-14

A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints

by Deckelnick, K.; Hinze, M..


Series: 2013-14, Preprints

MSC:
49J20 Optimal control problems involving partial differential equations
65N30 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods

Abstract:
The finite element approximation of an elliptic optimal control problem with
pointwise bounds on the gradient of the state is considered. We review recent results
on the error analysis for various discretization approaches and prove a new bound
for the problem without control constraints.

Keywords:
Elliptic optimal control problem, state constraints, error estimates