Generalization of the Zlámal condition for simplicial finite elements in Rd

0360530 - MÚ 2012 RIV CZ eng J - Journal Article
Brandts, J. - Korotov, S. - Křížek, Michal
Generalization of the Zlámal condition for simplicial finite elements in Rd.
Applications of Mathematics. Roč. 56, č. 4 (2011), s. 417-424. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : linear finite element * mesh regularity * minimum angle condition * convergence * higher-dimensional problems
Subject RIV: BA - General Mathematics
Impact factor: 0.480, year: 2011
http://www.springerlink.com/content/w6433tku3l3x032u/

The famous Zlámal's minimum angle condition has been widely used for construction of a regular family of triangulations (containing nondegenerating triangles) as well as in convergence proofs for the finite element method in 2d. In this paper we present and discuss its generalization to simplicial partitions in any space dimension.
Permanent Link: http://hdl.handle.net/11104/0198049