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Numerical Integration over Pyramids

Published online by Cambridge University Press:  03 June 2015

Chuanmiao Chen ,
Michal Křížek  and
Liping Liu
Chuanmiao Chen*
Affiliation:
Institute of Computer Science, Hunan Normal University, Changsha 410081, Hunan, China
Michal Křížek*
Affiliation:
Institute of Mathematics, Academy of Sciences, CZ-115 67 Prague, Czech Republic
Liping Liu*
Affiliation:
Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, P7B 5E1, Canada Department of Applied Mathematics, Anhui Agricultural University, Hefei, 230036, Anhui, China
*
Email: cmchen@hunnu.edu.cn
Email: krizek@cesnet.cz
Corresponding author. Email: lipingli@lakeheadu.ca
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Abstract

Pyramidal elements are often used to connect tetrahedral and hexahedral elements in the finite element method. In this paper we derive three new higher order numerical cubature formulae for pyramidal elements.

Keywords

65D3065D3265N30Reference pyramidal elementnonlinear systems of algebraic equationsBramble-Hilbert lemmatriangulartetrahedral and pyramidal numbers
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 3 , June 2013 , pp. 309 - 320
Copyright
Copyright © Global-Science Press 2013

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