Consistent and stable meshfree Galerkin methods using the virtual element decomposition
type: Item
instance of: scholarly article
title: Consistent and stable meshfree Galerkin methods using the virtual element decomposition
zbMATH Open document ID: 1548.65321
author: A. Ortiz-Bernardin
author: A. Russo
author: N. Sukumar
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-06-18T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7867227
zbMATH Keywords: meshfree Galerkin methods
zbMATH Keywords: maximum-entropy approximants
zbMATH Keywords: numerical integration
zbMATH Keywords: virtual element method
zbMATH Keywords: patch test
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Meshless methods: An overview and recent developments
cites work: Meshless methods: a review and computer implementation aspects
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: An arbitrary order variationally consistent integration for Galerkin meshfree methods
cites work: Quadrature for meshless methods
cites work: Effect of numerical integration on meshless methods
cites work: Consistent pseudo-derivatives in meshless methods
cites work: A stabilized conforming nodal integration for Galerkin mesh-free methods
cites work: Integration constraint in diffuse element method
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Maximum-entropy meshfree method for compressible and near-incompressible elasticity
cites work: Gradient correction for polygonal and polyhedral finite elements
cites work: Second-order accurate derivatives and integration schemes for meshfree methods
cites work: Consistent element-free Galerkin method
cites work: A four-point integration scheme with quadratic exactness for three-dimensional element-free Galerkin method based on variationally consistent formulation
cites work: Volume-averaged nodal projection method for nearly-incompressible elasticity using meshfree and bubble basis functions
cites work: Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations
cites work: Hourglass stabilization and the virtual element method
cites work: Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection
cites work: New perspectives on polygonal and polyhedral finite element methods
cites work: Nodal integration of the element-free Galerkin method
cites work: Q4943463
cites work: Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
cites work: Meshfree and finite element nodal integration methods
cites work: Construction of polygonal interpolants: a maximum entropy approach
cites work: Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
cites work: Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
cites work: Virtual elements for linear elasticity problems
cites work: On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
cites work: The Hitchhiker's Guide to the Virtual Element Method
cites work: A virtual element method with arbitrary regularity
cites work: Q5683765
DOI: 10.1002/NME.5519
description: scientific article; zbMATH DE number 7867227