On Synge-type angle condition for d-simplices

0471867 - MÚ 2017 RIV CZ eng J - Článek v odborném periodiku
Hannukainen, A. - Korotov, S. - Křížek, Michal
On Synge-type angle condition for d-simplices.
Applications of Mathematics. Roč. 62, č. 1 (2017), s. 1-13. ISSN 0862-7940. E-ISSN 1572-9109
Grant CEP: GA ČR GA14-02067S
Institucionální podpora: RVO:67985840
Klíčová slova: simplicial element * maximum angle condition * interpolation error
Obor OECD: Applied mathematics
Impakt faktor: 0.897, rok: 2017
http://link.springer.com/article/10.21136/AM.2017.0132-16

The maximum angle condition of J.L. Synge was originally introduced in interpolation theory and further used in finite element analysis and applications for triangular and later also for tetrahedral finite element meshes. In this paper we present some of its generalizations to higher-dimensional simplicial elements. In particular, we prove optimal interpolation properties of linear simplicial elements in R^d that degenerate in some way.
Trvalý link: http://hdl.handle.net/11104/0269223