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oai:docta.ucm.es:20.500.14352/424772025-02-17T13:13:52Zcom_20.500.14352_14col_20.500.14352_15

Fraguela, A. Infante Del Río, Juan Antonio Ramos Del Olmo, Ángel Manuel Rey Cabezas, José María 2023-06-20T00:22:34Z 2023-06-20T00:22:34Z 2012 1741-5977 10.1080/17415977.2011.587516 https://hdl.handle.net/20.500.14352/42477 http://www.tandfonline.com/doi/pdf/10.1080/17415977.2011.587516 http://www.tandfonline.com 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. metadata only access Identification of a heat transfer coefficient depending on pressure and temperature. journal article