Geodesic
On Synge-type angle condition for $d$-simplices
Applications of Mathematics, Tome 62 (2017) no. 1, pp. 1-13 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 ${\mathbb R}^d$ that degenerate in some way.
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 ${\mathbb R}^d$ that degenerate in some way.
DOI : 10.21136/AM.2017.0132-16
Classification : 65N12, 65N15, 65N30, 65N50
Keywords: simplicial element; maximum angle condition; interpolation error; higher-dimensional problem; $d$-dimensional sine; semiregular family of simplicial partitions 
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     title = {On {Synge-type} angle condition for $d$-simplices},
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Hannukainen, Antti; Korotov, Sergey; Křížek, Michal. On Synge-type angle condition for $d$-simplices. Applications of Mathematics, Tome 62 (2017) no. 1, pp. 1-13. doi: 10.21136/AM.2017.0132-16

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