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

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.

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Bibliographic Details
Published in:Applied mathematics and computation 2002-04, Vol.127 (2), p.335-345
Main Authors: Ji, Guangcao, Martin, Clyde
Format: Article
Language:English
Subjects:
Boundary data
Computational methods
Exact sciences and technology
Mathematics
Prior data
Sciences and techniques of general use
Splines
Surface fitting
Thermodynamics
Toxicity
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Description
Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(01)00011-X