Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials
From MaRDI portal
Publication:6555229
DOI10.1002/NME.5813zbMATH Open1548.65358WikidataQ130015305 ScholiaQ130015305MaRDI QIDQ6555229
Eduardo Abreu, L. G. C. Santos, G. J. Menon, Nelson Manzanares-Filho
Publication date: 14 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
polyharmonic splinesradial basis function-generated finite differencestabilized Gaussiansstructured point cloudssupplementary polynomialsunstructured point clouds
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Entropy generation due to natural convection in a partially heated cavity by local RBF-DQ method
- Optimal variable shape parameter for multiquadric based RBF-FD method
- Stable calculation of Gaussian-based RBF-FD stencils
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- RBF-FD formulas and convergence properties
- Optimal constant shape parameter for multiquadric based RBF-FD method
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
- On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Some observations regarding interpolants in the limit of flat radial basis functions
- Interpolation in the limit of increasingly flat radial basis functions
- Observations on the behavior of radial basis function approximations near boundaries
- A novel upwind-based local radial basis function differential quadrature method for convection-dominated flows
- Laurent series based RBF-FD method to avoid ill-conditioning
- Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces
- Stable computation of multiquadric interpolants for all values of the shape parameter
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations
- On choosing ``optimal shape parameters for RBF approximation
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method
- An upwind local RBF-DQ method for simulation of inviscid compressible flows
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- Stable evaluation of Gaussian radial basis function interpolants
- Stable Computations with Gaussian Radial Basis Functions
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Scattered Data Interpolation: Tests of Some Method
- Interpolation with variably scaled kernels
- Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments
Related Items (3)
Weight calculation and convergence analysis of polyharmonic spline (PHS) with polynomials for different stencils ⋮ A study on the numerical solution of the Sobolev equation with a Burgers-type nonlinearity on two-dimensional irregular domains using the local RBF partition of unity method ⋮ Enhancing RBF-FD efficiency for highly non-uniform node distributions via adaptivity
This page was built for publication: Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6555229)
