Global and Local Refinement Techniques Yielding Nonobtuse Tetrahedral Partitions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F05%3A00022512" target="_blank" >RIV/67985840:_____/05:00022512 - 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
Global and Local Refinement Techniques Yielding Nonobtuse Tetrahedral Partitions
Original language description
Preservation of basic qualitative properties (for example, the maximum priinciple) of the solution of partial differential equations by its finite-element approximations is an important goal in mathematical modelling and simulation. Nonobtuse tetrahedralpartitions and linear finite elements guarantee the validity of the discrete analogues of the maximum principle for a wide class of parabolic and elliptic problems. In order to get more accurate approximation, we often need to refine the used partitionsglobally or locally. In this paper, we first propose two variants of global refinement techniques, which produce nonobtuse face-to-face tetrahedral partitions. Second, we present a new local refinement technique which generates nonobtuse face-to-face tetrahedral partitions in a neighbourhood of a given vertex.
Czech name
Metoda globálního a lokálního zjemňování sítí generující netupoúhlé čtyřstěny
Czech description
V článku se předkládají dvě metody zjemňování čtyřstěnných sítí, které umožňují zaručit diskrétní princip maxima při řešení eliptických rovnic metodou konečných prvků.
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
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics With Applications
ISSN
0898-1221
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
9
Pages from-to
1105-1113
UT code for WoS article
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EID of the result in the Scopus database
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