Sum factorization techniques in isogeometric analysis
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Publication:1988059
DOI10.1016/j.cma.2019.04.031zbMath1441.65093arXiv1809.05471OpenAlexW2891528366MaRDI QIDQ1988059
Publication date: 16 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05471
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (15)
A Comparison of Matrix-Free Isogeometric Galerkin and Collocation Methods for Karhunen–Loève Expansion ⋮ The surrogate matrix methodology: low-cost assembly for isogeometric analysis ⋮ Weighted isogeometric collocation based on spline projectors ⋮ Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up ⋮ NLIGA: a MATLAB framework for nonlinear isogeometric analysis ⋮ Machine learning discovery of optimal quadrature rules for isogeometric analysis ⋮ High‐fidelity tensor‐decomposition based matrix formation for isogeometric buckling analysis of laminated shells with solid‐shell formulation ⋮ Efficient matrix assembly in isogeometric analysis with hierarchical B-splines ⋮ The surrogate matrix methodology: accelerating isogeometric analysis of waves ⋮ A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature ⋮ AS++ T-splines: arbitrary degree, nestedness and approximation ⋮ Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension ⋮ Weighted quadrature for hierarchical B-splines ⋮ Fast formation and assembly of isogeometric Galerkin matrices for trimmed patches ⋮ Fast and multiscale formation of isogeometric matrices of microstructured geometric models
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