The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to ilustrate our theory.
The finite element approximation of optimal control problems for
semilinear elliptic partial differential equation is considered,
where the control belongs to a finite-dimensional set and state
constraints are given in finitely many points of the domain. Under
the standard linear independency condition on the active gradients
and a strong second-order sufficient optimality condition, optimal
error estimates are derived for locally optimal controls.
Download Results (CSV)