An adaptive-hybrid meshfree approximation method

DOI10.1002/nme.3257zbMath1242.76245OpenAlexW2149236464WikidataQ58222861 ScholiaQ58222861MaRDI QIDQ2894915

Leevan Ling

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3257

zbMATH Keywords

Burgers equationadaptivitypartial differential equationsradial basis functionparabolicdata refinementmeshfree methodsconvergence proofadaptive greedy algorithm

Mathematics Subject Classification ID

Related Items (5)

Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods ⋮ $H^2$-Convergence of Least-Squares Kernel Collocation Methods ⋮ An automatic node-adaptive scheme applied with a RBF-collocation meshless method ⋮ Solving moving-boundary problems with the wavelet adaptive radial basis functions method ⋮ A Fast Block-Greedy Algorithm for Quasi-optimal Meshless Trial Subspace Selection

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems
• An adaptive multilevel wavelet collocation method for elliptic problems
• A matrix decomposition RBF algorithm: approximation of functions and their derivatives
• A meshless approach for solution of Burgers' equation
• On convergent numerical algorithms for unsymmetric collocation
• Miscellaneous error bounds for multiquadric and related interpolators
• Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM
• Adaptive greedy techniques for approximate solution of large RBF systems
• The method of fundamental solutions with dual reciprocity for diffusion and diffusion-convection using subdomains
• Grid-free adaptive semi-Lagrangian advection using radial basis functions
• Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
• Stable computation of multiquadric interpolants for all values of the shape parameter
• A least-squares preconditioner for radial basis functions collocation methods
• An adaptive greedy algorithm for solving large RBF collocation problems
• Error estimates and condition numbers for radial basis function interpolation
• Approximation by radial basis functions with finitely many centers
• An improved localized radial basis function meshless method for computational aeroacoustics
• Results on meshless collocation techniques
• Rotational transport on a sphere: local node refinement with radial basis functions
• Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
• The Runge phenomenon and spatially variable shape parameters in RBF interpolation
• Preconditioning for radial basis functions with domain decomposition methods
• Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
• Solution of Burgers’ Equation Using a Local-RBF Meshless Method
• An improved subspace selection algorithm for meshless collocation methods
• A note on radial basis function interpolant limits
• Localized Radial Basis Functions with Partition of Unity Properties
• Stable and Convergent Unsymmetric Meshless Collocation Methods
• Convergence of Univariate Quasi-Interpolation Using Multiquadrics
• An Order of Convergence for Some Radial Basis Functions
• Local error estimates for radial basis function interpolation of scattered data
• Dual reciprocity method using compactly supported radial basis functions
• Radial Basis Functions
• Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
• SOLVING BURGERS EQUATION BY A MESHLESS METHOD
• A symmetric collocation method with fast evaluation
• Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels
• Some comments on the use of radial basis functions in the dual reciprocity method

This page was built for publication: An adaptive-hybrid meshfree approximation method