A quadrature-based superconvergent isogeometric frequency analysis with macro-integration cells and quadratic splines
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Publication:2309867
DOI10.1016/j.cma.2017.03.041zbMath1439.65122OpenAlexW2604353624MaRDI QIDQ2309867
Dongdong Wang, Qingwen Liang, Junchao Wu
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://doi.org/10.1016/j.cma.2017.03.041
frequencyisogeometric analysishigher order mass matrixsuperconvergent quadrature rulemacro-integration cell
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- A superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- Mass matrix templates: general description and 1D examples
- Variational methods for selective mass scaling
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
- Nonlinear frequency response analysis of structural vibrations
- Accurate finite element modeling of linear elastodynamics problems with the reduced dispersion error
- Efficient quadrature for NURBS-based isogeometric analysis
- An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions
- A unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Studies of refinement and continuity in isogeometric structural analysis
- Modified integration rules for reducing dispersion error in finite element methods.
- Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
- Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation
- Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices
- Isogeometric analysis: an overview and computer implementation aspects
- Fast formation of isogeometric Galerkin matrices by weighted quadrature
- Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis
- Novel higher order mass matrices for isogeometric structural vibration analysis
- Evaluation of numerical integration methods in elastodynamics
- Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
- Superaccurate finite element eigenvalue computation
- On superaccurate finite elements and their duals for eigenvalue computation
- Minimization of the discretization error in mass and stiffness formulations by an inverse method
- Isogeometric Analysis
- Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach