RT Book, Section
T1 Inverse problems in heat exchange processes
A1 Fraguela, Andrés
A1 Infante Del Río, Juan Antonio
A1 Ramos Del Olmo, Ángel Manuel
A1 Rey Cabezas, José María
A2 Grebennikov, A.
A2 Zemliak, A.
AB This paper deals with an inverse problem concerning the identification of the heat exchange coefficient H (assumed depending on the temperature) between a certain material with the external environment (see, e.g., [2], [4] for real applications modelled with equations involving this coefficient). Only experimental measurements of the temperature are supposed to be known. The goal is to identify H in order to get a solution for the corresponding model, approximating same given temperature measurements. We begin by setting several scenarios for the inverse problem. For each scenario, we know the initial and ambient temperatures, identify function H through different methods and obtain error bounds in adequate norms (uniform and square integrable). Finally, we study the inverse problem in the framework of the classical theory for Hilbert spaces. Several methods are used (Tikhonov, Morozov, Landweber,...) and the approximations obtained, as well as the one provided by the previous algorithm, are shown.
PB World Scientific
SN 978-960-6766-33-6
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/53304
UL https://hdl.handle.net/20.500.14352/53304
LA eng
NO 2nd WSEAS International Conference on Computer Engineering and Applications, capulco, MEXICO, JAN 25-27, 2008. Sponsorized by WSEAS
DS Docta Complutense
RD 17 mar 2026