FAST SOLVING OF PARABOLIC BOUNDARY CONTROL PROBLEMS

被引:34
作者
HACKBUSCH, W
机构
关键词
Compendex;
D O I
10.1137/0317018
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A multi-grid method is presented for the solution of boundary control problems with quadratic cost functions, where the state is a solution of a parabolic initial-boundary value problem. The computational work is proportional to the work needed for the integration of the parabolic equation. The method can be extended also to nonlinear problems.
引用
收藏
页码:231 / 244
页数:14
相关论文
共 7 条
[1]  
Casti J., 1977, DYNAMICAL SYSTEMS TH
[2]  
HACKBUSCH W, 1978, 789 U KOLN MATH I RE
[3]  
HACKBUSCH W, UNPUBLISHED
[4]  
HACKBUSCH W, 1978, 788 U KOLN MATH I RE
[5]  
LADYZENSKAJA OA, 1968, 23 AM MATH SOC MATH
[6]  
Lions J. L., 1972, NONHOMOGENOUS BOUNDA, DOI DOI 10.1007/978-3-642-65217-2
[7]  
Lions J-L., 1971, GRUNDLEHREN MATH WIS, DOI 10.1007/978-3-642-65024-6