A $\Gamma$-Convergence Analysis of the Quasicontinuum Method

DOI10.1137/120895354zbMath1355.70007OpenAlexW2031120510WikidataQ107453492 ScholiaQ107453492MaRDI QIDQ2874197

Malena I. Español, Dennis M. Kochmann, Michael Ortiz, Sergio Conti

Publication date: 29 January 2014

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120895354

zbMATH Keywords

\(\Gamma\)-convergencequasicontinuum methodatomistic-to-continuum models

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Energy minimization in equilibrium problems in solid mechanics (74G65) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Methods involving semicontinuity and convergence; relaxation (49J45) Statics (70C20) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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