Analysis of the Lagrange-SQP-Newton method for the control of a phase field equation

Authors
Heinkenschloss, M Troltasch, F
Citation
M. Heinkenschloss et F. Troltasch, Analysis of the Lagrange-SQP-Newton method for the control of a phase field equation, CONTROL CYB, 28(2), 1999, pp. 177-211
Citations number
47
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
CONTROL AND CYBERNETICS
ISSN journal
03248569 → ACNP
Volume
28
Issue
2
Year of publication
1999
Pages
177 - 211
Database
ISI
SICI code
0324-8569(1999)28:2<177:AOTLMF>2.0.ZU;2-6
Abstract
This paper investigates the local convergence of the Lagrange-SQP-Newton me thod applied to an optimal control problem governed by a phase field equati on with distributed control. The phase field equation is a system of two se milinear parabolic differential equations. Stability analysis of optimizati on problems and regularity results for parabolic differential equations are used to proof convergence of the controls with respect to the L-2(Q) norm and with respect to the L-infinity(Q) norm.