Goal-oriented adaptive mesh refinement for the quasicontinuum approximation of a Frenkel-Kontorova model

DOI10.1016/j.cma.2008.05.005zbMath1194.74012arXiv0711.1876OpenAlexW2139717443MaRDI QIDQ2638055

Marcel Arndt, Mitchell Luskin

Publication date: 14 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1876

zbMATH Keywords

adaptive mesh refinementerror estimationFrenkel-Kontorova modelatomistic-continuum modelingquasicontinuum

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Applications to the sciences (65Z05) Statics (70C20) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

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