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Title: Identification of basic thermal technical characteristics of building materials (English)
Author: Šťastník, Stanislav
Author: Vala, Jiří
Author: Kmínová, Hana
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 43
Issue: 4
Year: 2007
Pages: 561-576
Summary lang: English
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Category: math
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Summary: Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evaluation of both characteristics leads to a non-trivial optimization problem. This article suggests an efficient numerical algorithm for its solution, based on the weak formulation of certain initial and boundary problem for the heat transfer equation, on the classical Fourier analysis and on the Newton iterative method, and demonstrates its practical application. (English)
Keyword: building heat transfer
Keyword: PDEs of evolution
Keyword: inverse problems
Keyword: Fourier method
Keyword: Newton iterations
Keyword: incertainties in laboratory measurements
MSC: 42A16
MSC: 65K10
MSC: 65T40
MSC: 80A20
MSC: 80A23
idZBL: Zbl 1143.80001
idMR: MR2377933
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Date available: 2009-09-24T20:27:01Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/135797
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