Adjoint-based iterative method for robust control problems in fluid mechanics

被引：6

作者：

Medjo, TT ^{[1
]}

Tebou, LRT ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2004年 / 42卷 / 01期

关键词：

robust control; fluid mechanics; Navier-Stokes; iterative methods;

D O I：

10.1137/S0036142902416231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the convergence of an adjoint-based iterative method recently proposed in [T. R. Bewley, R. Temam, and M. Ziane, Phys. D, 138 (2000), pp. 360-392] for the numerical solution of a class of nonlinear robust control problems in fluid mechanics. Under weaker assumptions than those of [T. Tachim Medjo, Numer. Funct. Anal. Optim., 23 (2002), pp. 849-873], we prove the convergence of the algorithm, and we obtain an estimate of the convergence rate. Numerical solutions of a robust control problem related to data assimilation in oceanography are presented to illustrate the method.

引用

页码：302 / 325

页数：24

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