Lattice Green function methods for atomistic/continuum coupling: theory and data-sparse implementation
type: Item
instance of: scholarly article
title: Lattice Green function methods for atomistic/continuum coupling: theory and data-sparse implementation
zbMATH Open document ID: 1441.74010
author: G. Anciaux
author: Max Hodapp
author: William A. Curtin
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-16T00:00:00Z
Mathematics Subject Classification ID: 74A25
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 7189816
zbMATH Keywords: atomistic/continuum coupling
zbMATH Keywords: lattice Green function
zbMATH Keywords: flexible boundary conditions
zbMATH Keywords: discrete boundary element method
zbMATH Keywords: hierarchical matrices
describes a project that uses: BEAN
MaRDI profile type: Publication
full work available at URL: j.cma.2019.02.006
OpenAlex ID: W2915251043
Wikidata QID: Q64016882
cites work: Q3049781
cites work: An analysis of the quasicontinuum method
cites work: A theory of anharmonic lattice statics for analysis of defective crystals
cites work: Stability, instability, and error of the force-based quasicontinuum approximation
cites work: Energy-based atomistic-to-continuum coupling without ghost forces
cites work: Mosaic-skeleton approximations
cites work: A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
cites work: Hierarchical Matrices: Algorithms and Analysis
cites work: Analysis of boundary conditions for crystal defect atomistic simulations
cites work: Atomistic-to-continuum coupling
cites work: Modeling Materials
cites work: Symmetric Galerkin Boundary Element Method
cites work: A Fast Randomized Algorithm for Computing a Hierarchically Semiseparable Representation of a Matrix
cites work: Introduction to hierarchical matrices with applications.
cites work: Q3113042
cites work: Iterative methods for the force-based quasicontinuum approximation: analysis of a 1D model problem
cites work: Multiscale plasticity modeling: Coupled atomistics and discrete dislocation mechanics
cites work: Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
cites work: Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Q5491447
cites work: Connecting Atomistic-to-Continuum Coupling and Domain Decomposition
cites work: Fast parallel algorithms for short-range molecular dynamics
cites work: A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods
cites work: \(\mathcal H\)-FAINV: hierarchically factored approximate inverse preconditioners
cites work: Sharp stability estimates for the force-based quasicontinuum approximation of homogeneous tensile deformation
DOI: 10.1016/J.CMA.2019.02.006
description: scientific article; zbMATH DE number 7189816