51 citations · 66 across the 10 of their papers we have counts for
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cond-mat.mtrl-sci2022★ 51 cited
Learning macroscopic internal variables and history dependence from microscopic models
Burigede Liu, Eric Ocegueda, Margaret Trautner +2
This paper concerns the study of history dependent phenomena in heterogeneous materials in a two-scale setting where the material is specified at a fine microscopic scale of hetero…
math.NA2022
Learning Markovian Homogenized Models in Viscoelasticity
Kaushik Bhattacharya, Burigede Liu, Andrew M. Stuart +1
Fully resolving dynamics of materials with rapidly-varying features involves expensive fine-scale computations which need to be conducted on macroscopic scales. The theory of homog…