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math.NA2011★ 3 cited
Linear Stationary Iterative Methods for the Force-based Quasicontinuum Approximation
Mitchell Luskin, Christoph Ortner
Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementin…
math.NA2009★ 13 cited
Sharp Stability Estimates for the Force-based Quasicontinuum Method
Matthew Dobson, Mitchell Luskin, Christoph Ortner
A sharp stability analysis of atomistic-to-continuum coupling methods is essential for evaluating their capabilities for predicting the formation and motion of lattice defects. We…