Numerical quadrature for Gregory quads

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Approximations and expansions (41Axx)

Cites Work

A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
Efficient quadrature for NURBS-based isogeometric analysis
Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines
A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
Multisided generalisations of Gregory patches
On numerical quadrature for \(C^1\) quadratic Powell-Sabin 6-split macro-triangles
Gaussian quadrature for \(C^1\) cubic Clough-Tocher macro-triangles
Matrix-free weighted quadrature for a computationally efficient isogeometric \(k\)-method
Efficient quadrature rules for subdivision surfaces in isogeometric analysis
A quadrilateral \(\operatorname{G}^1\)-conforming finite element for the Kirchhoff plate model
An implicit \(\operatorname{G}^1\)-conforming bi-cubic interpolation for the analysis of smooth and folded Kirchhoff-Love shell assemblies
An implicit strong \(\mathrm{G}^1\)-conforming formulation for the analysis of the Kirchhoff plate model
Optimal quadrature for univariate and tensor product splines
Fast formation of isogeometric Galerkin matrices by weighted quadrature
Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis
Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
On certain definite quadrature formulae
Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
Isogeometric Analysis
Generalized Gaussian quadrature rules on arbitrary polygons
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