Isogeometric collocation method based on residual parameterization of planar physical domain
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Publication:2104065
DOI10.1016/j.cam.2022.114889OpenAlexW4306169003MaRDI QIDQ2104065
Publication date: 9 December 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114889
isogeometric analysisreduced quadratureisogeometric collocation methodparameterization of planar physical domain
Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Unnamed Item
- Isogeometric collocation mixed methods for rods
- Isogeometric collocation for elastostatics and explicit dynamics
- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Full analytical sensitivities in NURBS based isogeometric shape optimization
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Discrete Coons patches
- Low-rank parameterization of planar domains for isogeometric analysis
- Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
- Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach
- A displacement-free formulation for the Timoshenko beam problem and a corresponding isogeometric collocation approach
- Isogeometric collocation: Neumann boundary conditions and contact
- An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
- An isogeometric collocation method using superconvergent points
- Harmonic mappings of multiply connected domains
- An adaptive isogeometric analysis collocation method with a recovery-based error estimator
- Superconvergent isogeometric collocation method with Greville points
- Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights
- Penalty function-based volumetric parameterization method for isogeometric analysis
- Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules
- Isogeometric collocation on planar multi-patch domains
- Isogeometric least-squares collocation method with consistency and convergence analysis
- Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity
- Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements
- Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton
- The variational collocation method
- Planar domain parameterization for isogeometric analysis based on Teichmüller mapping
- Isogeometric collocation methods for Cosserat rods and rod structures
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Reduced integration at superconvergent points in isogeometric analysis
- Isogeometric collocation for Kirchhoff-Love plates and shells
- Isogeometric collocation using analysis-suitable T-splines of arbitrary degree
- Locking-free isogeometric collocation methods for spatial Timoshenko rods
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- On calculating with B-splines
- Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
- An adaptive collocation method with weighted extended PHT-splines
- ISOGEOMETRIC COLLOCATION METHODS
- Planar Parametrization in Isogeometric Analysis
- The Numerical Evaluation of B-Splines
