Numerical Integration over Pyramids

Numerical Integration over Pyramids

Year:    2013

Author:    Chuanmiao Chen, Michal Křížek, Liping Liu

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 3 : pp. 309–320

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.12-m12110

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 3 : pp. 309–320

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Reference pyramidal element nonlinear systems of algebraic equations Bramble-Hilbert lemma triangular tetrahedral and pyramidal numbers.

Author Details

Chuanmiao Chen

Michal Křížek

Liping Liu

  1. High‐order symmetric cubature rules for tetrahedra and pyramids

    Jaśkowiec, Jan

    Sukumar, N.

    International Journal for Numerical Methods in Engineering, Vol. 122 (2021), Iss. 1 P.148

    https://doi.org/10.1002/nme.6528 [Citations: 15]