A Set of Symmetric Quadrature Rules on Triangles and Tetrahedra

A Set of Symmetric Quadrature Rules on Triangles and Tetrahedra

Year:    2009

Journal of Computational Mathematics, Vol. 27 (2009), Iss. 1 : pp. 89–96

Abstract

We present a program for computing symmetric quadrature rules on triangles and tetrahedra. A set of rules are obtained by using this program. Quadrature rules up to order 21 on triangles and up to order 14 on tetrahedra have been obtained which are useful for use in finite element computations. All rules presented here have positive weights with points lying within the integration domain.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-JCM-8561

Journal of Computational Mathematics, Vol. 27 (2009), Iss. 1 : pp. 89–96

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Finite element Numerical integration Quadrature Cubature Triangle Tetrahedron.