Optimal boundary control of the heat equation with target function at terminal time

被引：7
|
作者：
Ji, GC
Martin, C
机构：
[1] Texas Tech Univ, Dept Math, Inst Math Life Sci, Lubbock, TX 79409 USA
[2] Texas Tech Univ, Dept Math & Stat, Inst Environm & Human Hlth, Lubbock, TX 79409 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 127卷 / 2-3期
基金：
美国国家科学基金会;
关键词：
splines; boundary data; surface fitting; prior data;
D O I：
10.1016/S0096-3003(01)00011-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of optimally fitting a solution of the heat equation to a prescribed target function. We assume boundary control of the heat equation on a bounded domain. The problem arises in constructing the response surface to a two-dimensional set of experimental data. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：335 / 345
页数：11
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