Dispersion-minimizing quadrature rules for \(C^1\) quadratic isogeometric analysis
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Publication:2310149
DOI10.1016/j.cma.2017.09.025zbMath1439.74406arXiv1705.03103OpenAlexW2613064087MaRDI QIDQ2310149
Vladimir Evgenievich Puzyrev, Quanling Deng, Michael Bartoň, Victor Manuel Calo
Publication date: 6 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/1705.03103
Numerical computation using splines (65D07) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (15)
SoftIGA: soft isogeometric analysis ⋮ Dispersion optimized quadratures for isogeometric analysis ⋮ Spectral approximation of elliptic operators by the Hybrid High-Order method ⋮ Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity ⋮ Refined isogeometric analysis for generalized Hermitian eigenproblems ⋮ A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes ⋮ Improvement of accuracy of the spectral element method for elastic wave computation using modified numerical integration operators ⋮ Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis ⋮ Dispersion-minimized mass for isogeometric analysis ⋮ Superconvergent isogeometric analysis of natural frequencies for elastic continua with quadratic splines ⋮ Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D ⋮ Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines ⋮ Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension ⋮ Spectral approximation properties of isogeometric analysis with variable continuity ⋮ On the significance of basis interpolation for accurate lumped mass isogeometric formulation
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