On exact integration within an isoparametric tetragonal finite element

Ryszard A. Walentyński

doi:10.1063/1.2790212

On exact integration within an isoparametric tetragonal finite element

Ryszard A. Walentyński

Department of Mechanics and Bridges (RB/RB5)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper presents a brief discussion on integration within an isoparametric tetragonal finite element. There is shown that integration can be carried out exactly. Comparison of result of exact and approximate numerical approach is provided. It has been stated that isoparametrization does not describe concave elements.

Original language	English
Title of host publication	NUMERICAL ANALYSIS AND APPLIED MATHEMATICS
Subtitle of host publication	International Conference on Numerical Analysis and Applied Mathematics
Pages	582-585
Number of pages	4
DOIs	https://doi.org/10.1063/1.2790212
Publication status	Published - 2007
Event	NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics - Corfu, Greece Duration: 16 Sept 2007 → 20 Sept 2007

Publication series

Name	AIP Conference Proceedings
Volume	936
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics
Country/Territory	Greece
City	Corfu
Period	16/09/07 → 20/09/07

Keywords

Computer algebra
Element
Finite
Integration
Isoparametric
Mathematica
Numerical
Symbolic computation

ASJC Scopus subject areas

General Physics and Astronomy

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10.1063/1.2790212

Cite this

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title = "On exact integration within an isoparametric tetragonal finite element",

abstract = "This paper presents a brief discussion on integration within an isoparametric tetragonal finite element. There is shown that integration can be carried out exactly. Comparison of result of exact and approximate numerical approach is provided. It has been stated that isoparametrization does not describe concave elements.",

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year = "2007",

doi = "10.1063/1.2790212",

language = "English",

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series = "AIP Conference Proceedings",

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booktitle = "NUMERICAL ANALYSIS AND APPLIED MATHEMATICS",

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Walentyński, RA 2007, On exact integration within an isoparametric tetragonal finite element. in NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, vol. 936, pp. 582-585, NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics, Corfu, Greece, 16/09/07. https://doi.org/10.1063/1.2790212

On exact integration within an isoparametric tetragonal finite element. / Walentyński, Ryszard A.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics. 2007. p. 582-585 (AIP Conference Proceedings; Vol. 936).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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KW - Element

KW - Finite

KW - Integration

KW - Isoparametric

KW - Mathematica

KW - Numerical

KW - Symbolic computation

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On exact integration within an isoparametric tetragonal finite element

Abstract

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Conference

Keywords

ASJC Scopus subject areas

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