Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

Result code in IS VaVaI

RIV/67985840:_____/09:00321929 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

Original language description

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.

Czech name

Numerická aproximace nelineárního 3d problému sálání

Czech description

V článku se zabýváme numerickou aproximací stacionární úlohy sálání tepla s nelineární Stefanovou-Boltzmannovou okrajovou podmínkou v R3 .

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

IAA100190803: The finite element method for higher dimensional problems

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Advances in Applied Mathematics and Mechanics

ISSN

2070-0733

e-ISSN

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Volume of the periodical

1

Issue of the periodical within the volume

1

Country of publishing house

CN - CHINA

Number of pages

15

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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