79 citations · 117 across the 7 of their papers we have counts for
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cs.CE2021★ 17 cited
Bayesian neural networks for weak solution of PDEs with uncertainty quantification
Xiaoxuan Zhang, Krishna Garikipati
Solving partial differential equations (PDEs) is the canonical approach for understanding the behavior of physical systems. However, large scale solutions of PDEs using state of th…
cs.CE2020★ 79 cited
Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures
Xiaoxuan Zhang, Krishna Garikipati
Many important multi-component crystalline solids undergo mechanochemical spinodal decomposition: a phase transformation in which the compositional redistribution is coupled with s…