On Synge-type angle condition for d-simplices
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Authors
Hannukainen, Antti
Korotov, Sergey
Křížek, Michal
Date
2017-02-01
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en
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Applications of Mathematics, Volume 62, issue 1
Abstract
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 ℝd that degenerate in some way.Description
Keywords
d-dimensional sine, higher-dimensional problem, interpolation error, maximum angle condition, semiregular family of simplicial partitions, simplicial element
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Citation
Hannukainen, A, Korotov, S & Křížek, M 2017, ' On Synge-type angle condition for d-simplices ', Applications of Mathematics, vol. 62, no. 1 . https://doi.org/10.21136/AM.2017.0132-16