Maximum Angle Condition for n-Dimensional Simplicial Elements

  • Antti Hannukainen
  • Sergey Korotov
  • Michal KřížekEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)


In this paper the Synge maximum angle condition for planar triangulations is generalized for higher-dimensional simplicial partitions. In addition, optimal interpolation properties are presented for linear simplicial elements which can degenerate in certain ways.



The authors are indebted to Prof. Jan Brandts, Prof. Takuya Tsuchiya, and Prof. Jon Eivind Vatne for valuable suggestions. The third author was supported by RVO 67985840 of the Czech Republic and Grant no. 18-09628S of the Grant Agency of the Czech Republic.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Antti Hannukainen
    • 1
  • Sergey Korotov
    • 2
  • Michal Křížek
    • 3
    Email author
  1. 1.Department of Mathematics and Systems AnalysisAalto UniversityAaltoFinland
  2. 2.Department of Computing, Mathematics and PhysicsWestern Norway University of Applied SciencesBergenNorway
  3. 3.Institute of Mathematics, Czech Academy of SciencesPrague 1Czech Republic

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