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On Dihedral Angle Sums of Prisms and Hexahedra.
- Source :
-
International Journal of Computational Geometry & Applications . Sep-Dec2023, Vol. 33 Issue 3/4, p85-95. 11p. - Publication Year :
- 2023
-
Abstract
- Various angle characteristics are used (e.g. in finite element methods or computer graphics) when evaluating the quality of computational meshes which may consist, in the three-dimensional case, of tetrahedra, prisms, hexahedra and pyramids. Thus, it is of interest to derive (preferably tight) bounds for dihedral angle sums, i.e. sums of angles between faces, of such mesh elements. For tetrahedra this task was solved by Gaddum in 1952. For pyramids, this was resolved by Korotov, Lund and Vatne in 2022. In this paper, we compute tight bounds for the remaining two cases, hexahedra and prisms. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIHEDRAL angles
*PRISMS
*FINITE element method
*COMPUTER graphics
Subjects
Details
- Language :
- English
- ISSN :
- 02181959
- Volume :
- 33
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- International Journal of Computational Geometry & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 174622332
- Full Text :
- https://doi.org/10.1142/S0218195923500036