Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis

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)

Cites Work

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On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
On using radial basis functions in a ``finite difference mode with applications to elasticity problems
An RBF-FD closest point method for solving PDEs on surfaces
Curvilinear mesh adaptation using radial basis function interpolation and smoothing
Higher order schemes introduced to the meshless FDM in elliptic problems
Monomial augmentation guidelines for RBF-FD from accuracy versus computational time perspective
Fast generation of 2-D node distributions for mesh-free PDE discretizations
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains
An insight into RBF-FD approximations augmented with polynomials
On the solution of 3D problems in physics: from the geometry definition in CAD to the solution by a meshless method
Stochastic collocation methods on unstructured grids in high dimensions via interpolation
Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces
Isogeometric Analysis
Medusa
On Generation of Node Distributions for Meshless PDE Discretizations
Fast Variable Density 3-D Node Generation
Improved Recovery Guarantees and Sampling Strategies for TV Minimization in Compressive Imaging
Scattered Data Approximation
Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices
Adaptive radial basis function-generated finite differences method for contact problems

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