This work concerns with the solution of optimal control problems by means of nonlinear programming methods. The control problem is transcribed into a finite dimensional nonlinear programming problem by finite difference approximation. An iterative procedure for the solution of this nonlinear program is presented. An extensive numerical analysis of the behaviour of the method is reported on boundary control and distributed control problems with boundary conditions of Dirichlet or Neumann or mixed type.
Galligani, Emanuele. "A note on the iterative solution of weakly nonlinear elliptic control problems with control and state constraints" Working paper, Dipartimento di Matematica Giuseppe Vitali - Università di Modena e Reggio Emilia, 2007. https://doi.org/10.25431/11380_593963
A note on the iterative solution of weakly nonlinear elliptic control problems with control and state constraints
GALLIGANI, Emanuele
2007
Abstract
This work concerns with the solution of optimal control problems by means of nonlinear programming methods. The control problem is transcribed into a finite dimensional nonlinear programming problem by finite difference approximation. An iterative procedure for the solution of this nonlinear program is presented. An extensive numerical analysis of the behaviour of the method is reported on boundary control and distributed control problems with boundary conditions of Dirichlet or Neumann or mixed type.
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