Fraguela, A.Infante Del Río, Juan AntonioRamos Del Olmo, Ángel ManuelRey Cabezas, José María2023-06-202023-06-2020121741-597710.1080/17415977.2011.587516https://hdl.handle.net/20.500.14352/42477This 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.journal articlehttp://www.tandfonline.com/doi/pdf/10.1080/17415977.2011.587516http://www.tandfonline.commetadata only access519.6517.9Heat transferFunction identificationInverse problemRegularization techniquesAlgorithmTikhonov egularizationDiscrepancy principleLandweber’s iterative methodNumerical experimentsAnálisis numéricoEcuaciones diferenciales1206 Análisis Numérico1202.07 Ecuaciones en Diferencias