Superconvergent isogeometric collocation method with Greville points
From MaRDI portal
Publication:2021954
DOI10.1016/j.cma.2021.113689zbMath1506.65236OpenAlexW3131024177MaRDI QIDQ2021954
Dongliang Qi, Xiwei Li, Dongdong Wang
Publication date: 27 April 2021
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.2021.113689
superconvergenceconsistency conditionbasis transformationGreville pointisogeometric collocation methodrecursive gradient
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
Related Items
Temporal stability of collocation, Petrov-Galerkin, and other non-symmetric methods in elastodynamics and an energy conserving time integration ⋮ The convergence rate and necessary-and-sufficient condition for the consistency of isogeometric collocation method ⋮ A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis ⋮ Weighted isogeometric collocation based on spline projectors ⋮ An isogeometric collocation method for the static limit analysis of masonry domes under their self-weight ⋮ An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects ⋮ On the significance of basis interpolation for accurate lumped mass isogeometric formulation ⋮ Isogeometric collocation method based on residual parameterization of planar physical domain
Cites Work
- Unnamed Item
- Unnamed Item
- Isogeometric collocation mixed methods for rods
- Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions
- A consistently coupled isogeometric-meshfree method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Meshfree point collocation method with intrinsic enrichment for interface problems
- Meshless methods: An overview and recent developments
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Double grid diffuse collocation method
- New boundary condition treatments in meshfree computation of contact problems
- Meshless methods based on collocation with radial basis functions
- Mixed isogeometric collocation methods for the simulation of poromechanics problems in 1D
- Isogeometric collocation for phase-field fracture models
- An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
- An isogeometric collocation method using superconvergent points
- Explicit higher-order accurate isogeometric collocation methods for structural dynamics
- Superconvergent gradient smoothing meshfree collocation method
- Explicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motions
- An adaptive isogeometric analysis collocation method with a recovery-based error estimator
- Phase-field modeling for polarization evolution in ferroelectric materials via an isogeometric collocation method
- Isogeometric collocation on planar multi-patch domains
- Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain
- A weighted meshfree collocation method for incompressible flows using radial basis functions
- Isogeometric analysis: an overview and computer implementation aspects
- A gradient reproducing kernel collocation method for high order differential equations
- The variational collocation method
- Isogeometric collocation methods for Cosserat rods and rod structures
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- The use of the local truncation error for the increase in accuracy of the linear finite elements for heat transfer problems
- Reproducing kernel formulation of B-spline and NURBS basis functions: a meshfree local refinement strategy for isogeometric analysis
- Isogeometric collocation for the Reissner-Mindlin shell problem
- Reduced integration at superconvergent points in isogeometric analysis
- Isogeometric collocation for Kirchhoff-Love plates and shells
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Consistency and convergence properties of the isogeometric collocation method
- Isogeometric collocation for large deformation elasticity and frictional contact problems
- Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates
- A gradient reproducing kernel collocation method for boundary value problems
- A generalized approximation for the meshfree analysis of solids
- ISOGEOMETRIC COLLOCATION METHODS
- An Introduction to Isogeometric Collocation Methods
- Reproducing kernel enhanced local radial basis collocation method
- Subdomain radial basis collocation method for heterogeneous media
- Element‐free Galerkin methods
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Isogeometric Analysis
- Reproducing kernel particle methods
- Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods
