Asymmetric cubature formulas for polynomial integration in the triangle and square

DOI10.1016/j.cam.2007.04.050zbMath1143.65025OpenAlexW1969557622MaRDI QIDQ930719

Mark A. Taylor

Publication date: 1 July 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.050

zbMATH Keywords

cubaturenumerical examplespolynomial approximationmultivariate integrationfekete points

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

A new \(k\)-TMI/ALE fluid-structure formulation to study the low mass ratio dynamics of an elliptical cylinder, Efficient computation of cubature rules with application to new asymmetric rules on the triangle, New computationally efficient quadrature formulas for triangular prism elements, Symmetric and asymmetric Gauss and Gauss-Lobatto quadrature rules for triangles and their applications to high-order finite element analyses, New fully symmetric and rotationally symmetric cubature rules on the triangle using minimal orthonormal bases, Computing almost minimal formulas on the square, Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements

Cites Work

• Spectral methods on triangles and other domains
• Monomial cubature rules since ``Stroud: A compilation
• An encyclopaedia of cubature formulas.
• A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
• Symmetric quadrature rules on a triangle
• Monomial cubature rules since ``Stroud: A compilation. II
• An Algorithm for Computing Fekete Points in the Triangle
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• A Cardinal Function Algorithm for Computing Multivariate Quadrature Points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item