New fully symmetric and rotationally symmetric cubature rules on the triangle using minimal orthonormal bases

Author:

Papanicolopulos Stefanos-AldoORCID

Funder

European Union’s Seventh Framework Programme

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. Approximate Calculation of Multiple Integrals;Stroud,1971

2. Constructing cubature formulas: the science behind the art;Cools;Acta Numer.,1997

3. An encyclopaedia of cubature formulas;Cools;J. Complexity,2003

4. Gaussian quadrature formulas for triangles;Cowper;Internat. J. Numer. Methods Engrg.,1973

5. Moderate degree symmetric quadrature rules for the triangle;Lyness;IMA J. Appl. Math.,1975

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1. Symmetric and asymmetric Gauss and Gauss–Lobatto quadrature rules for triangles and their applications to high-order finite element analyses;Journal of Computational and Applied Mathematics;2024-02

2. Explicit consistency conditions for fully symmetric cubature on the tetrahedron;Engineering with Computers;2023-06-21

3. Schemes for cubature over the unit disk found via numerical optimization;Journal of Computational and Applied Mathematics;2022-06

4. High‐order symmetric cubature rules for tetrahedra and pyramids;International Journal for Numerical Methods in Engineering;2020-10-15

5. Cubature rules from Hall–Littlewood polynomials;IMA Journal of Numerical Analysis;2020-05-21

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