Volume 5, Issue 3
Numerical Integration over Pyramids

Chuanmiao Chen, Michal Křížek & Liping Liu

Adv. Appl. Math. Mech., 5 (2013), pp. 309-320.

Published online: 2013-05

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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

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

  • AMS Subject Headings

65D30 65D32 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-309, author = {Chuanmiao Chen, Michal Křížek and Liping Liu}, title = {Numerical Integration over Pyramids}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12110}, url = {http://global-sci.org/intro/article_detail/aamm/71.html} }
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