Author(s) :
Eduardo Casas
,
Mariano Mateos
,
Fredi Tröltzsch
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 21-2003
MSC 2000
- 49K20 Problems involving partial differential equations
-
49N10 Linear-quadratic problems
-
90C46 Optimality conditions, duality
-
49M20 Methods of relaxation type
Abstract :
We study the numerical approximation of boundary optimal control
problems governed by semilinear elliptic partial differential
equations with pointwise constraints on the control. The analysis
of the approximate control problems is carried out. The uniform
convergence of discretized controls to optimal controls is proven
under natural assumptions by taking piecewise constant controls.
Finally, error estimates are established.
Keywords :
boundary control, semilinear elliptic equation, numerical approximation, error estimates