Symmetric triangle quadrature rules for arbitrary functions

DOI10.1016/j.camwa.2019.12.021OpenAlexW3000362358WikidataQ115099886 ScholiaQ115099886MaRDI QIDQ2192477

Brian A. Freno, Salvatore Campione, Brian F. Zinser, William A. Johnson

Publication date: 17 August 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01480

zbMATH Keywords

symmetric quadrature rulesarbitrary functionsquadrature rules for singularitiestriangle quadrature rules

Mathematics Subject Classification ID

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

Related Items (7)

Manufactured solutions for the method-of-moments implementation of the electric-field integral equation ⋮ Code-verification techniques for the method-of-moments implementation of the electric-field integral equation ⋮ A polygonal finite volume element method for anisotropic diffusion problems ⋮ Code-verification techniques for the method-of-moments implementation of the combined-field integral equation ⋮ Code-verification techniques for the method-of-moments implementation of the magnetic-field integral equation ⋮ Characterization and integration of the singular test integrals in the method-of-moments implementation of the electric-field integral equation ⋮ PI-type fully symmetric quadrature rules on the 3-, \dots, 6-simplexes

Uses Software

• minpack
• MPFUN

Cites Work

• A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
• Symmetric quadrature rules on a triangle
• Computation of moderate-degree fully-symmetric cubature rules on the triangle using symmetric polynomials and algebraic solving
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
• Generalized Gaussian quadrature rules on arbitrary polygons
• A method for the solution of certain non-linear problems in least squares

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