Author(s) :
Eduardo Casas
,
Fredi Tröltzsch
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 748-2002
MSC 2000
- 49J20 Optimal control problems involving partial differential equations
-
49K20 Problems involving partial differential equations
-
49M05 Methods based on necessary conditions
-
65K10 Optimization and variational techniques
Abstract :
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.