On generalizations of the Synge-Křížek maximum angle condition for $d$-simplices
arXiv:1811.12906h-index: 21
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This is an incremental theoretical contribution for researchers working on higher-dimensional finite element methods.
The paper generalizes the Synge-Křížek maximum angle condition to d-dimensional simplicial finite elements and analyzes its relation to other angle-type conditions. No numerical results are provided.
In this note we present a generalization of the maximum angle condition, proposed by J. L. Synge in 1957 and M. Křížek in 1992 for triangular and tetrahedral elements, respectively, for the case of higher-dimensional simplicial finite elements. Its relations to the other angle-type conditions commonly used in finite element methods are analysed.