Bridging domain methods for coupled atomistic-continuum models with L 2 or H 1 couplings
type: Item
instance of: scholarly article
title: Bridging domain methods for coupled atomistic-continuum models with L 2 or H 1 couplings
zbMATH Open document ID: 1158.74309
author: Pierre-Alain Guidault
author: Ted Belytschko
published in: International Journal for Numerical Methods in Engineering
publication date: 2009-04-09T00:00:00Z
Mathematics Subject Classification ID: 74A25
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 5542071
zbMATH Keywords: bridging domain method
zbMATH Keywords: atomistic-continuum coupling
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: moving least-square interpolant
MaRDI profile type: Publication
full work available at URL: nme.2461
OpenAlex ID: W2097789098
cites work: Multiscale coupling schemes spanning the quantum mechanical, atomistic forcefield, and continuum regimes
cites work: Coupling of atomistic and continuum simulations using a bridging scale decomposition.
cites work: A phonon heat bath approach for the atomistic and multiscale simulation of solids
cites work: A mathematical framework of the bridging scale method
cites work: An analysis of the quasicontinuum method
cites work: Multiscale plasticity modeling: Coupled atomistics and discrete dislocation mechanics
cites work: A bridging domain method for coupling continua with molecular dynamics
cites work: Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force
cites work: Application of the Arlequin method to some structures with defects
cites work: The Arlequin method as a flexible engineering design tool
cites work: On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers
cites work: On the application of the Arlequin method to the coupling of particle and continuum models
cites work: Surfaces Generated by Moving Least Squares Methods
cites work: Element‐free Galerkin methods
cites work: A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids
cites work: Meshless methods: An overview and recent developments
cites work: Large deformation analysis of rubber based on a reproducing kernel particle method
cites work: New boundary condition treatments in meshfree computation of contact problems
cites work: Q3838008
cites work: Numerical integration of the Galerkin weak form in meshfree methods
cites work: Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes
DOI: 10.1002/NME.2461
description: scientific article