Název:
The role of Sommerville tetrahedra in numerical mathematics
Autoři:
Hošek, Radim Typ dokumentu: Příspěvky z konference Konference/Akce: Programs and Algorithms of Numerical Mathematics /18./, Janov nad Nisou (CZ), 20160619
Rok:
2017
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
simplicial mesh; simplicial tessellations; Sommerville tetrahedron Zdrojový dokument: Programs and algorithms of numerical mathematics 18, ISBN 978-80-85823-67-7 Poznámka: Související webová stránka: http://hdl.handle.net/10338.dmlcz/702997
Instituce: Matematický ústav AV ČR
(web)
Informace o dostupnosti dokumentu:
Dokument je dostupný v repozitáři Akademie věd. Původní záznam: http://hdl.handle.net/11104/0272302