Fast Solvers of Fredholm Optimal Control Problems

被引：0
|
作者：
Mario Annunziato [1 ]
Alfio Borzi [2 ,3 ]
机构：
[1] Universita degli Studi di Salerno,Dipartimento di Matematica e Informatica,Via Ponte Don Melillo,84084 Fisciano(SA),Italia  2. Universita degli Studi del Sannio,Dipartimento e Facolta di Ingegneria,Pa
[2] Institutfr Mathematik und Wissenschaftliches Rechnen,Karl-Franzens-Universitt Graz,Heinrichstr.36,8010 Graz,Austria.
来源：
Numerical Mathematics:Theory,Methods and Applications | 2010年 / 04期
关键词：
Optimal control theory; Fredholm integral equations of second kind; iterative methods;
D O I：
暂无
中图分类号：
O232 [最优控制];
学科分类号：
摘要：
The formulation of optimal control problems governed by Fredholm integral equations of second kind and an efficient computational framework for solving these control problems is presented.Existence and uniqueness of optimal solutions is proved. A collective Gauss-Seidel scheme and a multigrid scheme are discussed.Optimal computational performance of these iterative schemes is proved by local Fourier analysis and demonstrated by results of numerical experiments.
引用
收藏
页码：431 / 448
页数：18
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