MGOPT with gradient projection method for solving bilinear elliptic optimal control problems

被引：5
|
作者：
Vallejos, Michelle [1 ]
机构：
[1] Univ Philippines, Inst Math, Quezon City 1101, Philippines
来源：
COMPUTING | 2010年 / 87卷 / 1-2期
关键词：
Elliptic optimal control problems; Multigrid methods; MULTIGRID OPTIMIZATION;
D O I：
10.1007/s00607-009-0073-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Multigrid optimization schemes that solve optimal control problems with bilinear elliptic partial differential equations are presented. For the solution of the control-unconstrained and control-constrained problems, finite difference discretization is utilized. To solve the control-unconstrained case, multigrid for optimization (MGOPT) method is considered and for the control-constrained case, MGOPT with gradient projection method is applied to solve the problem. Numerical experiments show the efficiency of these techniques.
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页码：21 / 33
页数：13
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