Functional gradient evaluation in the optimal control of a complex dynamical system

被引：11

作者：

Albu, A. V. ^{[1
]}

Albu, A. F. ^{[1
]}

Zubov, V. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 05期

关键词：

heat equation; metal solidification; Stefan problem; optimal control problem; fast automatic differentiation; adjoint optimal control problem;

D O I：

10.1134/S0965542511050034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The gradient of the cost functional in a discrete optimal control problem for metal solidification in metal casting is exactly calculated. In contrast to previous studies, the object under analysis has a complex geometric shape. The mathematical model for describing the solidification process is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. Formulas for exact gradient evaluation are derived using the fast automatic differentiation technique.

引用

页码：762 / 780

页数：19

共 6 条

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