A Priori and A Posteriori Analysis of the Quasi-Nonlocal Quasicontinuum Method in 1D
arXiv:0911.0671
Abstract
For a next-nearest neighbour pair interaction model in a periodic domain, a priori and a posteriori analyses of the quasinonlocal quasicontinuum method (QNL-QC) are presented. The results are valid for large deformations and essentially guarantee a one-to-one correspondence between atomistic solutions and QNL-QC solutions. The analysis is based on truncation error and residual estimates in negative norms and novel a priori and a posteriori stability estimates.
References in corpus (4)
Cited by in corpus (13)
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