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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Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics and computation 2002-04, Vol.127 (2), p.335-345
Hauptverfasser:	Ji, Guangcao, Martin, Clyde
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Beschreibung
Zusammenfassung:	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