Error bounds for GMLS derivatives approximations of Sobolev functions
type: Item
instance of: scholarly article
title: Error bounds for GMLS derivatives approximations of Sobolev functions
zbMATH Open document ID: 1327.65041
author: Davoud Mirzaei
published in: Journal of Computational and Applied Mathematics
publication date: 2015-11-13T00:00:00Z
Mathematics Subject Classification ID: 65D25
zbMATH DE Number: 6508278
zbMATH Keywords: diffuse derivatives
zbMATH Keywords: error bounds
zbMATH Keywords: moving least squares derivatives
zbMATH Keywords: Sobolev function
zbMATH Keywords: direct meshless local Petrov-Galerkin methods
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.cam.2015.08.003
OpenAlex ID: W1259147758
cites work: Surfaces Generated by Moving Least Squares Methods
cites work: Meshless methods: An overview and recent developments
cites work: Moving least-square reproducing kernel methods. I: Methodology and convergence
cites work: The approximation power of moving least-squares
cites work: Error estimates for moving least square approximations
cites work: Error estimates in Sobolev spaces for moving least square approximations
cites work: Error analysis of the reproducing kernel particle method
cites work: Local polynomial reproduction and moving least squares approximation
cites work: Scattered Data Approximation
cites work: Error estimates for the finite point method
cites work: Q3643442
cites work: Analysis of moving least squares approximation revisited
cites work: The complex variable interpolating moving least-squares method
cites work: New concepts for moving least squares: an interpolating non-singular weighting function and weighted nodal least squares
cites work: Error estimates for the interpolating moving least-squares method
cites work: Stable integration rules with scattered integration points
cites work: On generalized moving least squares and diffuse derivatives
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Point collocation methods using the fast moving least-square reproducing kernel approximation
cites work: Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
cites work: Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method
cites work: Q3146889
cites work: A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
cites work: A new low-cost meshfree method for two and three dimensional problems in elasticity
cites work: The Mathematical Theory of Finite Element Methods
cites work: Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
cites work: Q5640160
cites work: Q3760934
cites work: DMLPG solution of the fractional advection-diffusion problem
DOI: 10.1016/J.CAM.2015.08.003
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description: scientific article; zbMATH DE number 6508278