Analysis of the Lagrange-SQP-Newton Method for the Control of a
Phase Field Equation
M. Heinkenschloss
Department of Computational and Applied Mathematics
Rice University
F. Tröltzsch
Department Mathematics
Technical University of Chemnitz
Control and Cybernetics, Vol.28, 1999, No.2, pp.177-211.
Abstract
This paper investigates the local convergence of the
Lagrange-SQP-Newton method applied to
an optimal control problem governed by a phase field equation
with distributed control.
The phase field equation is a system of two semilinear parabolic
differential equations.
Stability analysis of optimization problems and
regularity results for parabolic differential equations are
used to proof convergence of the controls with respect to the L-2
norm and with respect to the L-infinity norm.
Keywords
Sequential quadratic programming method, Lagrange-SQP-Newton method,
optimal control, phase field equation, control constraints.
AMS subject classifications
49M37, 49K20
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