Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement
type: Item
instance of: scholarly article
title: Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement
zbMATH Open document ID: 1506.74496
author: Kuan-Chung Lin
author: Michael Hillman
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-04-26T00:00:00Z
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 7337744
zbMATH Keywords: meshfree methods
zbMATH Keywords: essential boundary conditions
zbMATH Keywords: refinement
zbMATH Keywords: transformation method
MaRDI profile type: Publication
full work available at URL: j.cma.2020.113448
OpenAlex ID: W3094060311
cites work: Meshless methods: An overview and recent developments
cites work: Reproducing kernel particle methods for large deformation analysis of nonlinear structures
cites work: On boundary conditions in the element-free Galerkin method
cites work: A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
cites work: Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
cites work: Application of essential boundary conditions in mesh-free methods: a corrected collocation method
cites work: Element‐free Galerkin methods
cites work: Q2550279
cites work: Imposing essential boundary conditions in mesh-free methods
cites work: The finite element method with Lagrangian multipliers
cites work: Q4105995
cites work: A new implementation of the element free Galerkin method
cites work: Q4407680
cites work: New boundary condition treatments in meshfree computation of contact problems
cites work: A coupled finite element -- element-free Galerkin method
cites work: Enforcement of essential boundary conditions in meshless approximations using finite elements
cites work: A parallelized meshfree method with boundary enrichment for large-scale CFD
cites work: A reproducing kernel method with nodal interpolation property
cites work: Admissible approximations for essential boundary conditions in the reproducing kernel particle method
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Conforming window functions for meshfree methods
cites work: Implementation of boundary conditions for meshless methods
cites work: Reproducing kernel particle methods
cites work: Q4127946
cites work: An arbitrary order variationally consistent integration for Galerkin meshfree methods
cites work: Weighted radial basis collocation method for boundary value problems
cites work: A stabilized conforming nodal integration for Galerkin mesh-free methods
cites work: Second-order accurate derivatives and integration schemes for meshfree methods
cites work: Moving least-square reproducing kernel method. II: Fourier analysis
cites work: Super-convergence of reproducing kernel approximation
DOI: 10.1016/J.CMA.2020.113448
description: scientific article; zbMATH DE number 7337744