activity
20192022
most citedA FETI approach to domain decomposition for meshfree discretizations of nonlocal problems

15 citations · 21 across the 4 of their papers we have counts for

collaborators

8 papers

math.NA20222 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.NA20212 cited

Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach

Masoud Behzadinasab, Georgios Moutsanidis, Nathaniel Trask +2

We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena…

math.NA202115 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

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…

math.NA20202 cited

A unified, stable and accurate meshfree framework for peridynamic correspondence modeling. Part II: wave propagation and enforcement of stress boundary conditions

Masoud Behzadinasab, John T. Foster, Yuri Bazilevs

The overarching goal of this work is to develop an accurate, robust, and stable methodology for finite deformation modeling using strong-form peridynamics (PD) and the corresponden…

cs.CE2020

Deriving peridynamic influence functions for one-dimensional elastic materials with periodic microstructure

Xiao Xu, John T. Foster

The influence function in peridynamic material models has a large effect on the dynamic behavior of elastic waves and in turn can greatly effect dynamic simulations of fracture pro…