711 citations · 2.4k across the 77 of their papers we have counts for
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Development of an Optimization-Based Atomistic-to-Continuum Coupling Method
Derek Olson, Pavel Bochev, Mitchell Luskin +1
Atomistic-to-Continuum (AtC) coupling methods are a novel means of computing the properties of a discrete crystal structure, such as those containing defects, that combine the accu…
An Optimization-Based Atomistic-to-Continuum Coupling Method
Derek Olson, Pavel Bochev, Mitchell Luskin +1
We present a new optimization-based method for atomistic-to-continuum (AtC) coupling. The main idea is to cast the coupling of the atomistic and continuum models as a constrained o…
Theory-based Benchmarking of the Blended Force-Based Quasicontinuum Method
Xingjie Helen Li, Mitchell Luskin, Christoph Ortner +1
We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum forces. Our precise choice of blending mechanism is informed by theoretical predict…