On an integration rule for products of barycentric coordinates over simplexes in \(\mathbb{R}^n\)

DOI10.1016/j.cam.2017.09.013zbMath1379.65090OpenAlexW2751576761MaRDI QIDQ1675960

Peng Zhang

Publication date: 3 November 2017

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.2017.09.013

zbMATH Keywords

finite element methodsbarycentric coordinatesfactorisationsintegration ruleboundary-element simulation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

New degrees of freedom for differential forms on cubical meshes ⋮ Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations ⋮ On some numerical integration formulas on the \(d\)-dimensional simplex ⋮ A multivariate version of Hammer's inequality and its consequences in numerical integration ⋮ Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope ⋮ Uniform preconditioners for problems of negative order ⋮ A characterization for the validity of the Hermite-Hadamard inequality on a simplex ⋮ Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus

Uses Software

• MathOverflow

Cites Work

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• Finite element methods for surface PDEs
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