Journal for Geometry and Graphics 29 (2025), No. 1, 101--106
Copyright by the authors licensed under CC BY SA 4.0
On Min/Max Angle Conditions for Simplices in Arbitrary Space Dimension
Sergey Korotov
Division of Mathematics and Physics, Mälardalen University, Västeras, Sweden
sergey.korotov@mdu.se
Michal Krģ˛ek
Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic
krizek@math.cas.cz
We investigate a hierachical relation between minimum and maximum angle conditions widely used in the interpolation theory and finite element analysis over simplicial partitions. We prove that the minimum angle condition implies the maximum angle condition in arbitrary space dimension.
Keywords: Simplex, dihedral angle, finite element method, angle conditions, interpolation.
MSC: 65N30; 65M60, 65D05.
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