RT Journal Article
T1 Identification of a heat transfer coefficient depending on pressure and temperature.
A1 Fraguela, A.
A1 Infante Del Río, Juan Antonio
A1 Ramos Del Olmo, Ángel Manuel
A1 Rey Cabezas, José María
AB This article deals with an inverse problem concerning the identification of the heat exchange coefficient H (assumed depending on the temperature and/or pressure) between a certain material with the external environment, when only experimental measurements of the temperature are supposed to be known. The main difficulties are that we consider the case of functions H depending on the solution of the state equation and we use experimental data that may have errors. We develop rigorous mathematical strategies for this identification. We separately consider pressure and temperature dependence and, in both cases, we set several scenarios for the inverse problem. For each scenario, we know the initial and ambient temperatures, we identify function H through different methods and we obtain error bounds in adequate norms (uniform and square integrable). Finally, we perform numerical tests in order to compare the results obtained with these algorithms and with some classical regularization algorithms.
PB Taylor & Francis
SN 1741-5977
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/42477
UL https://hdl.handle.net/20.500.14352/42477
DS Docta Complutense
RD 4 abr 2025