Wyniki wyszukiwania - BazTech

Ograniczanie wyników

3 Control and Cybernetics

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Error estimates for the finite-element approximation of a semilinear elliptic control problem

Casas E., Troeltzsch F.

Control and Cybernetics

2002

Vol. 31, no 3

695-712

We consider the finite-element approximation of a distributed optimal control problem governed by a semilinear elliptic partial differential equation, where pointwise constraints on the control are given. We prove the existence of local approximate solutions converging to a given local reference solution. Moreover, we derive error estimates for local solutions in the maximum norm.

Lipschitz stability of solutions to parametric optimal control for elliptic equations

Malanowski K., Troeltzsch F.

Control and Cybernetics

2000

Vol. 29, no 1

237-256

: A family of parameter dependent elliptic optimal control problems with nonlinear boundary control is considered. The control function is subject to amplitude constraints. A characterization of conditions is given under which solutions to the problems exist, are locally unique and Lipschitz continuous in a neighborhood of the reference value of the parameter.

Analysis of the Lagrange-SQP-Newton method for the control of a phase field equation

Heinkenschloss M., Troeltzsch F.

Control and Cybernetics

1999

Vol. 28, no 2

177-211

This paper investigates the local convergence of the Lagrange-SQP-Newton method applied to an optimal control problem governed by a phase field equation with distributed control. The phase field equation is a system of two semilinear parabolic differential equations. Stability analysis of optimization problems and regularity results for parabolic differential equations are used to proof convergence of the controls with respect to the L[sup 2](Q) norm and with respect to the L[sup infinity](Q) norm.