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Numerical Approximation of a Nonlinear 3D Heat Radiation Problem
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SYSNO ASEP 0321929 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Numerical Approximation of a Nonlinear 3D Heat Radiation Problem Title Numerická aproximace nelineárního 3d problému sálání Author(s) Liu, L. (CA)
Huang, M. (US)
Yuan, K. (CA)
Křížek, Michal (MU-W) RID, SAI, ORCIDSource Title Advances in Applied Mathematics and Mechanics - ISSN 2070-0733
Roč. 1, č. 1 (2009), s. 125-139Number of pages 15 s. Language eng - English Country CN - China Keywords heat radiation problem ; Stefan-Boltzmann condition ; Newton iterative method Subject RIV BA - General Mathematics R&D Projects IAA100190803 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000286307900007 Annotation sup.In this paper, we are concerned with the numerical approximation of a steady-state heat radiation problem with a nonlinear Stefan-Boltzmann boundary condition in R3 . We first derive an equivalent minimization problem and then present a finite element analysis to the solution of such a minimization problem. Moreover, we apply the Newton iterative method for solving the nonlinear equation resulting from the minimization problem. A numerical example is given to illustrate theoretical results. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2009
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