The role of Sommerville tetrahedra in numerical mathematics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00475634" target="_blank" >RIV/67985840:_____/17:00475634 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.21136/panm.2016.06" target="_blank" >http://dx.doi.org/10.21136/panm.2016.06</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2016.06" target="_blank" >10.21136/panm.2016.06</a>
Alternative languages
Result language
angličtina
Original language name
The role of Sommerville tetrahedra in numerical mathematics
Original language description
In this paper we summarize three recent results in computational geometry, that were motivated by applications in mathematical modelling of fluids. The cornerstone of all three results is the genuine construction developed by D. Sommerville already in 1923. We show Sommerville tetrahedra can be effectively used as an underlying mesh with additional properties and also can help us prove a result on boundary-fitted meshes. Finally we demonstrate the universality of the Sommerville's construction by its direct generalization to any dimension.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Programs and algorithms of numerical mathematics 18
ISBN
978-80-85823-67-7
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
46-54
Publisher name
Institute of Mathematics CAS
Place of publication
Prague
Event location
Janov nad Nisou
Event date
Jun 19, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000467646600006