Stability Of A Force-Based Hybrid Method With Planar Sharp Interface

DOI10.1137/130904843zbMath1307.65148arXiv1212.3643OpenAlexW1993516059MaRDI QIDQ2927843

Pingbing Ming, Jian-feng Lu

Publication date: 4 November 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3643

zbMATH Keywords

stabilityconvergencemultiscale methodatomistic-to-continuumCauchy-Born elasticity modelforce-based couplingnonlinear elliptic finite difference systemstruncated Lennard-Jones potential

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06)

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