Original title: The role of Sommerville tetrahedra in numerical mathematics
Authors: Hošek, Radim
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /18./, Janov nad Nisou (CZ), 20160619
Year: 2017
Language: eng
Abstract: 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.
Keywords: simplicial mesh; simplicial tessellations; Sommerville tetrahedron
Host item entry: Programs and algorithms of numerical mathematics 18, ISBN 978-80-85823-67-7
Note: Související webová stránka: http://hdl.handle.net/10338.dmlcz/702997

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0272302

Permalink: http://www.nusl.cz/ntk/nusl-354695


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