arrow
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

Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-5-309, author = {Chuanmiao and Chen and and 20123 and and Chuanmiao Chen and Michal and Křížek and and 20124 and and Michal Křížek and Liping and Liu and and 20125 and 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} }
TY - JOUR T1 - Numerical Integration over Pyramids AU - Chen , Chuanmiao AU - Křížek , Michal AU - Liu , Liping JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 309 EP - 320 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.12-m12110 UR - https://global-sci.org/intro/article_detail/aamm/71.html KW - Reference pyramidal element, nonlinear systems of algebraic equations, Bramble-Hilbert lemma, triangular, tetrahedral and pyramidal numbers. AB -

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.

Chuanmiao Chen, Michal Křížek & Liping Liu. (1970). Numerical Integration over Pyramids. Advances in Applied Mathematics and Mechanics. 5 (3). 309-320. doi:10.4208/aamm.12-m12110
Copy to clipboard
The citation has been copied to your clipboard