A stable approximation of a constrained optimal control for continuous casting
作者:
Tomáš Roubiíček,
Claudio Verdi,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1992)
卷期:
Volume 13,
issue 5-6
页码: 487-494
ISSN:0163-0563
年代: 1992
DOI:10.1080/01630569208816494
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
A simple model optimal control problem for continuous casting with state-space constraints is approximated, as usual, by a penalty method and by a numerical discretization of the nonlinear heat equation. The convergence of the approximate problems directly to the original problem is proven under a stability criterion linking the penalty parameter with the discretization parameters. For this purpose, known discretization error estimates for the Stefan problem are extended for the case of time varying boundary conditions.
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