49 citations · 71 across the 5 of their papers we have counts for
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math.NA2022★ 2 cited
Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves
Xiao Xu, Marta D'Elia, Christian Glusa +1
Anomalous behavior is ubiquitous in subsurface solute transport due to the presence of high degrees of heterogeneity at different scales in the media. Although fractional models ha…
math.NA2021★ 15 cited
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems
Xiao Xu, Christian Glusa, Marta D'Elia +1
We propose a domain decomposition method for the efficient simulation of nonlocal problems. Our approach is based on a multi-domain formulation of a nonlocal diffusion problem wher…
math.NA2021★ 49 cited
A machine-learning framework for peridynamic material models with physical constraints
Xiao Xu, Marta D'Elia, John T. Foster
As a nonlocal extension of continuum mechanics, peridynamics has been widely and effectively applied in different fields where discontinuities in the field variables arise from an…