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Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00321929" target="_blank" >RIV/67985840:_____/09:00321929 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • 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 .

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA100190803" target="_blank" >IAA100190803: The finite element method for higher dimensional problems</a><br>

  • Continuities

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

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Advances in Applied Mathematics and Mechanics

  • ISSN

    2070-0733

  • e-ISSN

  • 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

  • UT code for WoS article

  • EID of the result in the Scopus database