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Title: The role of Sommerville tetrahedra in numerical mathematics (English)
Author: Hošek, Radim
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 46-54
Category: math
Summary: 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. (English)
Keyword: simplicial tessellations
Keyword: simplicial mesh
Keyword: Sommerville tetrahedron
Keyword: well-centered mesh
Keyword: boundary-fitted mesh
Keyword: high dimension
MSC: 51M04
MSC: 51M20
MSC: 65N30
MSC: 65N50
DOI: 10.21136/panm.2016.06
Date available: 2017-06-20T13:01:15Z
Last updated: 2017-07-13
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