522 citations · 2.1k across the 73 of their papers we have counts for
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math.NA2010★ 10 cited
A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods
Brian Van Koten, Xingjie Helen Li, Mitchell Luskin +1
We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems - the stability of a Lomer dislocation pair under shear and the sta…
math.NA2010★ 7 cited
The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain
Matthew Dobson, Christoph Ortner, Alexander V. Shapeev
We show under general conditions that the linearized force-based quasicontinuum (QCF) operator has a positive spectrum, which is identical to the spectrum of the quasinonlocal quas…