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Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

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, ORCID}
Source Title	Advances in Applied Mathematics and Mechanics - ISSN 2070-0733 Roč. 1, č. 1 (2009), s. 125-139
Number 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

Number of the records: 1