AN INVERSE MEDIUM PROBLEM FOR THE HEAT EQUATION

Autor: PIERLUIGI MAPONI
Jazyk: angličtina
Rok vydání: 1999
Předmět:
Zdroj: TASK Quarterly, Vol 3, Iss 3 (1999)
Druh dokumentu: article
ISSN: 1428-6394
Popis: In the article we consider the two-dimensional heat equation in a circular domain where the thermal diffusivity is a piecewise constant function in the radial directon and is a constant function in the angular direction. In particular we consider the problem of the computation of a perturbation in this stratified medium having some knowledge about the temperature on tine boundary of the domain due to a heat flux applied to the same boundary. A linearized version of this inverse problem is considered and a numerical method to solve the corresponding linear inverse problem is proposed. This numerical method is based on a linear integral equation. Some numerical examples are reported.
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