Maximum angle condition for n-dimensional simplicial elements

Antti Hannukainen; Sergey Korotov; Michal Křížek

doi:10.1007/978-3-319-96415-7_72

Maximum angle condition for n-dimensional simplicial elements

Antti Hannukainen, Sergey Korotov, Michal Křížek^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2017
Editors	Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Publisher	Springer
Pages	769-775
Number of pages	7
ISBN (Print)	9783319964140
DOIs	https://doi.org/10.1007/978-3-319-96415-7_72
Publication status	Published - 1 Jan 2019
MoE publication type	A4 Conference publication
Event	European Conference on Numerical Mathematics and Advanced Applications - Voss, Norway Duration: 25 Sept 2017 → 29 Sept 2017

Publication series

Name	Lecture Notes in Computational Science and Engineering
Publisher	Springer
Volume	126
ISSN (Print)	1439-7358

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications
Abbreviated title	ENUMATH
Country/Territory	Norway
City	Voss
Period	25/09/2017 → 29/09/2017

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10.1007/978-3-319-96415-7_72

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Hannukainen, A., Korotov, S., & Křížek, M. (2019). Maximum angle condition for n-dimensional simplicial elements. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (pp. 769-775). (Lecture Notes in Computational Science and Engineering; Vol. 126). Springer. https://doi.org/10.1007/978-3-319-96415-7_72

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title = "Maximum angle condition for n-dimensional simplicial elements",

abstract = "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.",

author = "Antti Hannukainen and Sergey Korotov and Michal K{\v r}{\'i}{\v z}ek",

year = "2019",

month = jan,

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doi = "10.1007/978-3-319-96415-7_72",

language = "English",

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booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",

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note = "European Conference on Numerical Mathematics and Advanced Applications, ENUMATH ; Conference date: 25-09-2017 Through 29-09-2017",

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Hannukainen, A, Korotov, S & Křížek, M 2019, Maximum angle condition for n-dimensional simplicial elements. in FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (eds), Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol. 126, Springer, pp. 769-775, European Conference on Numerical Mathematics and Advanced Applications, Voss, Norway, 25/09/2017. https://doi.org/10.1007/978-3-319-96415-7_72

Maximum angle condition for n-dimensional simplicial elements. / Hannukainen, Antti; Korotov, Sergey; Křížek, Michal.
Numerical Mathematics and Advanced Applications ENUMATH 2017. ed. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Springer, 2019. p. 769-775 (Lecture Notes in Computational Science and Engineering; Vol. 126).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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T1 - Maximum angle condition for n-dimensional simplicial elements

AU - Hannukainen, Antti

AU - Korotov, Sergey

AU - Křížek, Michal

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N2 - 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.

AB - 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.

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T2 - European Conference on Numerical Mathematics and Advanced Applications

Y2 - 25 September 2017 through 29 September 2017

ER -

Maximum angle condition for n-dimensional simplicial elements

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