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Volume 27, Issue 1
A Set of Symmetric Quadrature Rules on Triangles and Tetrahedra

Linbo Zhang, Tao Cui & Hui Liu

J. Comp. Math., 27 (2009), pp. 89-96.

Published online: 2009-02

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  • 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.

  • Keywords

Finite element, Numerical integration, Quadrature, Cubature, Triangle, Tetrahedron.

  • AMS Subject Headings

65D32, 65D30, 65M60.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-89, author = {Linbo Zhang, Tao Cui and Hui Liu}, title = {A Set of Symmetric Quadrature Rules on Triangles and Tetrahedra}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8561.html} }
TY - JOUR T1 - A Set of Symmetric Quadrature Rules on Triangles and Tetrahedra AU - Linbo Zhang, Tao Cui & Hui Liu JO - Journal of Computational Mathematics VL - 1 SP - 89 EP - 96 PY - 2009 DA - 2009/02 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8561.html KW - Finite element, Numerical integration, Quadrature, Cubature, Triangle, Tetrahedron. AB -

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.

Linbo Zhang, Tao Cui and Hui Liu. (2009). A Set of Symmetric Quadrature Rules on Triangles and Tetrahedra. Journal of Computational Mathematics. 27 (1). 89-96. doi:
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