Geodesic
Generalization of the Zlámal condition for simplicial finite elements in ${\Bbb R}^d$
Applications of Mathematics, Tome 56 (2011) no. 4, pp. 417-424

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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.
DOI : 10.1007/s10492-011-0024-1
Classification : 65N12, 65N30, 65N50
Keywords: linear finite element; mesh regularity; minimum angle condition; convergence; higher-dimensional problems; triangulations 
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     author = {Brandts, Jan and Korotov, Sergey and K\v{r}{\'\i}\v{z}ek, Michal},
     title = {Generalization of the {Zl\'amal} condition for simplicial finite elements in ${\Bbb R}^d$},
     journal = {Applications of Mathematics},
     pages = {417--424},
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Brandts, Jan; Korotov, Sergey; Křížek, Michal. Generalization of the Zlámal condition for simplicial finite elements in ${\Bbb R}^d$. Applications of Mathematics, Tome 56 (2011) no. 4, pp. 417-424. doi: 10.1007/s10492-011-0024-1

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