Abstract: This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP Is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. The numerical algorithm for solving UOCP using the conjugate gradient method (CGM) is given. The computing optimal controls are helped to identify the unknown coefficients of the quasilinear parabolic equation. Numerical results are reported.

Keywords: optimal control, quasilinear parabolic equations, penalty function method, finite difference methods.

ACM Classification Keywords: G.1 Numerical Analysis, G.1.6 Optimization, G.1.8 Partial Differential Equations

Link:

ON THE EXTERIOR PENALTY FUNCTION METHOD FOR THE CONSTRAINED OPTIMAL CONTROL PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS

Mahmoud Farag

http://foibg.com/ijitk/ijitk-vol03/IJITK03-4-p06.pdf