An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation
نویسندگان
چکیده
منابع مشابه
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 interactions and is linearized about a uniforml...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2009
ISSN: 0036-1429,1095-7170
DOI: 10.1137/08073723x