Consistency and convergence properties of the isogeometric collocation method
From MaRDI portal
Publication:2450573
DOI10.1016/j.cma.2013.09.025zbMath1286.65173OpenAlexW2083161319MaRDI QIDQ2450573
Yun-yang Xiong, Hong-Wei Lin, Qian-Qian Hu
Publication date: 14 May 2014
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.2013.09.025
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
Isogeometric boundary integral analysis of drops and inextensible membranes in isoviscous flow, The convergence rate and necessary-and-sufficient condition for the consistency of isogeometric collocation method, Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis, An adaptive collocation method with weighted extended PHT-splines, Enriched isogeometric collocation for two-dimensional time-harmonic acoustics, Isogeometric least-squares collocation method with consistency and convergence analysis, An adaptive isogeometric analysis collocation method with a recovery-based error estimator, A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric collocation approach, Superconvergent isogeometric collocation method with Greville points, Vibration analysis of mechanical structures with a new formulation of the isogeometric collocation method, Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations, An isogeometric collocation method using superconvergent points, A collocated isogeometric finite element method based on Gauss-Lobatto Lagrange extraction of splines, Isogeometric collocation for the Reissner-Mindlin shell problem
Uses Software
Cites Work
- Isogeometric collocation for elastostatics and explicit dynamics
- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- Efficient quadrature for NURBS-based isogeometric analysis
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- A fully ``locking-free isogeometric approach for plane linear elasticity problems: a stream function formulation
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- Studies of refinement and continuity in isogeometric structural analysis
- Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
- Locking-free isogeometric collocation methods for spatial Timoshenko rods
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
- Isogeometric structural shape optimization
- Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
- ISOGEOMETRIC COLLOCATION METHODS
- Partial Differential Equations and the Finite Element Method
- Swept Volume Parameterization for Isogeometric Analysis
- Isogeometric Analysis
- The Mathematical Theory of Finite Element Methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES