Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

0321929 - MÚ 2009 RIV CN eng J - Journal Article
Liu, L. - Huang, M. - Yuan, K. - Křížek, Michal
Numerical Approximation of a Nonlinear 3D Heat Radiation Problem.
[Numerická aproximace nelineárního 3d problému sálání.]
Advances in Applied Mathematics and Mechanics. Roč. 1, č. 1 (2009), s. 125-139. ISSN 2070-0733. E-ISSN 2075-1354
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : heat radiation problem * Stefan-Boltzmann condition * Newton iterative method
Subject RIV: BA - General Mathematics

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.

V článku se zabýváme numerickou aproximací stacionární úlohy sálání tepla s nelineární Stefanovou-Boltzmannovou okrajovou podmínkou v R³ .
Permanent Link: http://hdl.handle.net/11104/0170327