An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation


We derive a model problem for quasicontinuum approximations that allows a simple, yet insightful, analysis of the optimal-order convergence rate in the continuum limit for both the energy-based quasicontinuum approximation and the quasi-nonlocal quasicontinuum approximation. For simplicity, the analysis is restricted to the case of second-neighbor… (More)
DOI: 10.1137/08073723X