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Article

Brandts, Jan ; Korotov, Sergey ; Křížek, Michal
Generalization of the Zlámal condition for simplicial finite elements in ${\Bbb R}^d$. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 417-424
MSC: 65N12, 65N30, 65N50 | MR 2833170 | Zbl 1240.65327 | DOI: 10.1007/s10492-011-0024-1
Keywords:
linear finite element; mesh regularity; minimum angle condition; convergence; higher-dimensional problems; triangulations
Summary:
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.
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