A local meshless method based on moving least squares and local radial basis functions

DOI10.1016/j.enganabound.2014.10.001zbMath1403.65178OpenAlexW1968883776MaRDI QIDQ1653623

Baiyu Wang

Publication date: 6 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.10.001

zbMATH Keywords

collocation methodmoving least squaresmeshless methodlocal radial basis functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (12)

On the numerical solution of Fredholm integral equations utilizing the local radial basis function method ⋮ The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations ⋮ An efficient hybrid numerical method for multi-term time fractional partial differential equations in fluid mechanics with convergence and error analysis ⋮ Moving Least Squares (MLS) Method for the Nonlinear Hyperbolic Telegraph Equation with Variable Coefficients ⋮ A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions ⋮ A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation ⋮ A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems ⋮ Local radial basis function scheme for solving a class of fractional integro‐differential equations based on the use of mixed integral equations ⋮ A modified approximate method based on Gaussian radial basis functions ⋮ A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation ⋮ A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines ⋮ A meshless method for solving the time fractional advection-diffusion equation with variable coefficients

Cites Work

• A collocation mesh-free method based on multiple basis functions
• Local multiquadric approximation for solving boundary value problems
• Error estimates and condition numbers for radial basis function interpolation
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• The localized RBFs collocation methods for solving high dimensional PDEs
• Error Estimates in Sobolev Spaces for Moving Least Square Approximations
• Surfaces Generated by Moving Least Squares Methods
• Local error estimates for radial basis function interpolation of scattered data
• The approximation power of moving least-squares
• Meshless Galerkin methods using radial basis functions
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• Radial Basis Functions
• Scattered Data Approximation
• Error estimates for moving least square approximations

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