On the maximum and comparison principles for a steady-state nonlinear heat conduction problem.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F03%3A05030081" target="_blank" >RIV/67985840:_____/03:05030081 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the maximum and comparison principles for a steady-state nonlinear heat conduction problem.
Original language description
We examine a Dirichlet boundary value problem of elliptic type which serves asa model for a stationary heat conduction in nonlinear, inhomogeneous, and anisotropic media. We prove a comparison principle and obtain the maximum principle as a direct consequence. We also show that the standard trilinear finite elements do not preserve a discrete maximum principle.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1019201" target="_blank" >IAA1019201: The finite element method for three-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
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für Angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
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Volume of the periodical
83
Issue of the periodical within the volume
8
Country of publishing house
DE - GERMANY
Number of pages
5
Pages from-to
559-563
UT code for WoS article
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EID of the result in the Scopus database
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