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math.NA2008
Iterative Solution of the Quasicontinuum Equilibrium Equations with Continuation
Matthew Dobson, Mitchell Luskin
We give an analysis of a continuation algorithm for the numerical solution of the force-based quasicontinuum equations. The approximate solution of the force-based quasicontinuum e…
math.NA2008★ 5 cited
An Analysis of the Effect of Ghost Force Oscillation on Quasicontinuum Error
Matthew Dobson, Mitchell Luskin
The atomistic to continuum interface for quasicontinuum energies exhibits nonzero forces under uniform strain that have been called ghost forces. In this paper, we prove for a line…