Analysis of the Local Quasicontinuum Method
E Weinan, Pingbing Ming · Series in contemporary applied mathematics · 2006
We analyze the stability and accuracy of the local quasi-continuum method. Optimal estimates are obtained for the error between the quasicontinuum solution and the macro-scopic model solution. This is the rst of a series of papers devoted to the analysis of the quasicontinuum method (QC), which is becoming a popular multiscale technique for simulating the static properties of crystalline materials. Since QC is a computational method that couples the atomistic models