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Identification of a heat transfer coefficient depending on pressure and temperature.

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Fraguela, A. and Infante del Río, Juan Antonio and Ramos del Olmo, Ángel Manuel and Rey Cabezas, Jose María (2012) Identification of a heat transfer coefficient depending on pressure and temperature. Inverse Problems in Science and Engineering, 20 (2). pp. 137-172. ISSN 1741-5977

Official URL: http://www.tandfonline.com/doi/pdf/10.1080/17415977.2011.587516


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Heat transfer; Function identification; Inverse problem; Regularization techniques; Algorithm; Tikhonov egularization; Discrepancy principle; Landweber’s iterative method; Numerical experiments
Subjects:Sciences > Mathematics > Numerical analysis
Sciences > Mathematics > Differential equations
ID Code:17665
Deposited On:15 Jan 2013 09:27
Last Modified:12 Dec 2018 15:07

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