Numerical Integration over Pyramids

Authors

  • Chuanmiao Chen
  • Michal Křížek
  • Liping Liu

DOI:

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

Keywords:

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

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.

Published

2013-05-01

Issue

Section

Articles