The role of Sommerville tetrahedra in numerical mathematics
- Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 46-54
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topHošek, Radim. "The role of Sommerville tetrahedra in numerical mathematics." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 46-54. <http://eudml.org/doc/288156>.
@inProceedings{Hošek2017,
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.},
author = {Hošek, Radim},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {simplicial tessellations; simplicial mesh; Sommerville tetrahedron; well-centered mesh; boundary-fitted mesh; high dimension},
location = {Prague},
pages = {46-54},
publisher = {Institute of Mathematics CAS},
title = {The role of Sommerville tetrahedra in numerical mathematics},
url = {http://eudml.org/doc/288156},
year = {2017},
}
TY - CLSWK
AU - Hošek, Radim
TI - The role of Sommerville tetrahedra in numerical mathematics
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 46
EP - 54
AB - 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.
KW - simplicial tessellations; simplicial mesh; Sommerville tetrahedron; well-centered mesh; boundary-fitted mesh; high dimension
UR - http://eudml.org/doc/288156
ER -
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