On Synge-type angle condition for d-simplices

Antti Hannukainen; Sergey Korotov; Michal Křížek

doi:10.21136/AM.2017.0132-16

On Synge-type angle condition for d-simplices

Antti Hannukainen^*
, Sergey Korotov
, Michal Křížek

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

11 Citations (Scopus)

268 Downloads (Pure)

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 ℝ^d that degenerate in some way.

Original language	English
Journal	Applications of Mathematics
Volume	62
Issue number	1
DOIs	https://doi.org/10.21136/AM.2017.0132-16
Publication status	Published - 1 Feb 2017
MoE publication type	A1 Journal article-refereed

Keywords

d-dimensional sine
higher-dimensional problem
interpolation error
maximum angle condition
semiregular family of simplicial partitions
simplicial element

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AB - 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.

KW - d-dimensional sine

KW - higher-dimensional problem

KW - interpolation error

KW - maximum angle condition

KW - semiregular family of simplicial partitions

KW - simplicial element

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JO - Applications of Mathematics

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On Synge-type angle condition for d-simplices

Abstract

Keywords

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