Numerical Integration over Pyramids

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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.
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DOI

10.4208/aamm.12-m12110
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