A note on variational discretization of elliptic Neumann boundary control

• Autorzy: Hinze M. , Matthes U.
• Języki publikacji: EN

Abstrakty

EN

We consider variational discretization of Neumann-type elliptic optimal control problems with constraints on the control. In this approach 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. The control variable is not discretized. Error bounds for control and state are obtained both in two and three space dimensions. Finally, we discuss some implementation issues of a generalized Newton method applied to the numerical solution of the problem class under consideration.

Słowa kluczowe

EN

elliptic optimal control problem; error estimates; Neumann boundary control; variational discretization

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 3
• Strony: 577--591
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Hinze M.

autor

Matthes U.

• Schwerpunkt Optimierung und Approximation, Universitat Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany

Bibliografia

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