ISSN:
1432-0606
Keywords:
Optimal control
;
Parabolic equation
;
Nonlinear boundary condition
;
State constraint
;
Ritz-Galerkin approximation
;
49K20
;
65K10
;
65M60
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A class of optimal control problems for a parabolic equation with nonlinear boundary condition and constraints on the control and the state is considered. Associated approximate problems are established, where the equation of state is defined by a semidiscrete Ritz-Galerkin method. Moreover, we are able to allow for the discretization of admissible controls. We show the convergence of the approximate controls to the solution of the exact control problem, as the discretization parameter tends toward zero. This result holds true under the assumption of a certain sufficient second-order optimality condition.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01189480
Permalink
