Efficient quadrature rules for subdivision surfaces in isogeometric analysis
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Publication:1986281
DOI10.1016/j.cma.2018.05.017zbMath1440.65033OpenAlexW2807669124MaRDI QIDQ1986281
Jiří Kosinka, Pieter J. Barendrecht, Michael Bartoň
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://pure.rug.nl/ws/files/61999443/58154635_3854184_18BaBaKo2.pdf
numerical integrationisogeometric analysissubdivision surfaceGaussian quadrature rulesnon-tensor-product splines
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical integration (65D30)
Related Items (11)
Isogeometric analysis based on modified Loop subdivision surface with improved convergence rates ⋮ Splines for meshes with irregularities ⋮ Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems ⋮ Machine learning discovery of optimal quadrature rules for isogeometric analysis ⋮ Numerical quadrature for Gregory quads ⋮ A comparison of smooth basis constructions for isogeometric analysis ⋮ Explicit Gaussian quadrature rules for \(C^1\) cubic splines with non-uniform knot sequences ⋮ Efficient quadrature rules for subdivision surfaces in isogeometric analysis ⋮ A bivariate \(C^1\) subdivision scheme based on cubic half-box splines ⋮ Numerical integration over implicitly defined domains with topological guarantee ⋮ \(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces
Uses Software
Cites Work
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