High‐order symmetric cubature rules for tetrahedra and pyramids

In this article, we present an algorithm to construct high‐order fully symmetric cubature rules for tetrahedral and pyramidal elements, with positive weights and integration points that are in the interior of the domain. Cubature rules are fully symmetric if they are invariant to affine transformati...

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Veröffentlicht in:	International journal for numerical methods in engineering 2021-01, Vol.122 (1), p.148-171
Hauptverfasser:	Jaśkowiec, Jan, Sukumar, N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Affine transformations Algorithms Convergence Domains Mathematical analysis Nonlinear equations Numerical integration Permutations Polynomials positive weights pyramidal element Pyramids strictly interior integration points symmetric cubature rules Symmetry Tetrahedra tetrahedral element
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