On the backward heat equation
Djang Djinh Ang, Dang Dinh Hai (1991)
Annales Polonici Mathematici
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Djang Djinh Ang, Dang Dinh Hai (1991)
Annales Polonici Mathematici
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Werner Neundorf (1984)
Banach Center Publications
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Xiong, Xiang-Tuan, Fu, Chu-Li, Qian, Zhi, Gao, Xiang (2006)
International Journal of Mathematics and Mathematical Sciences
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Friedrich Karl Hebeker (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a domain decomposition method for some unsteady heat conduction problem in composite structures. This linear model problem is obtained by homogenization of thin layers of fibres embedded into some standard material. For ease of presentation we consider the case of two space dimensions only. The set of finite element equations obtained by the backward Euler scheme is parallelized in a problem-oriented fashion by some noniterative overlapping domain splitting method, eventually...
Tran Thi Le, Navarro, Milagros (1995)
International Journal of Mathematics and Mathematical Sciences
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Dorfman, Abram, Renner, Zachary (2009)
Mathematical Problems in Engineering
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Moitsheki, Raseelo J., Rowjee, Atish (2011)
Mathematical Problems in Engineering
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Chen, Xiao Dong, Nguang, Sing Kiong (2003)
Journal of Applied Mathematics and Decision Sciences
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Hukum Chand Agrawal (1977)
Publications de l'Institut Mathématique
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Marian Smoluchowski (1924)
Pisma Mariana Smoluchowskiego
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Stanislav Šťastník, Jiří Vala, Hana Kmínová (2007)
Kybernetika
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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...