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Error estimation and atomistic-continuum adaptivity for the quasicontinuum approximation of a Frenkel-Kontorova model. (English) Zbl 1160.82313

MSC:
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82D35 Statistical mechanical studies of metals
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
65Z05 Applications to the sciences
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