On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension
X. T. Li and P. B. Ming
Communications in Computational Physics, 15, 647–676 (2014).


Numerical error caused by "ghost forces" in a quasicontinuum method is studied in the context of dynamic problems. The error in the discrete W-1,W-infinity norm is analyzed for the time scale O(epsilon) and the time scale O(1) with e being the lattice spacing.