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Multidimensional Inverse Heat Conduction Calculations
Author(s) -
Reinhardt HansJürgen,
Frohne Jörg,
Suttmeier FranzTheo,
Hào Dinh Nho
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610359
Subject(s) - thermal conduction , heat flux , inverse problem , cauchy distribution , inverse , sort , boundary (topology) , boundary value problem , mathematics , thermodynamics , computer science , physics , mathematical analysis , heat transfer , geometry , information retrieval
Inverse Heat Conduction Problems (IHCPs) have been extensively studied over the last 50 years. They have numerous applications in many branches of science and technology. The problem consists in determining the temperature and heat flux at inaccessible parts of the boundary of a 2‐ or 3‐dimensional body from corresponding data – called ‘Cauchy data’ – from accessible parts of the boundary. It is well‐known that IHCPs are illposed which means that small perturbations in the data may cause large errors in the solution. In this contribution we give a short overview over our contributions to multidimensional IHCP's and indicate what computational results for which sort of problems we have obtained. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)