A peridynamic formulation of pressure driven convective fluid transport in porous media. - Amit Katiyar; John T. Foster; Hisanao Ouchi; Mukul M. Sharma (J. Comput. Phys., 2014)

Onto resolving spurious wave reflection problem with changing nonlocality among various length scales. - Rezwanur Rahman; John T. Foster (Commun. Nonlinear Sci. Numer. Simul., 2016)

On the stability of the generalized, finite deformation correspondence model of peridynamics. - Masoud Behzadinasab; John T. Foster (CoRR, 2019)

Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation. - Yu Leng; Xiaochuan Tian; Nathaniel A. Trask; John T. Foster (CoRR, 2020)

Deriving peridynamic influence functions for one-dimensional elastic materials with periodic microstructure. - Xiao Xu; John T. Foster (CoRR, 2020)

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 (CoRR, 2020)

A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. - Amit Katiyar; Shivam Agrawal; Hisanao Ouchi; Pablo Seleson; John T. Foster; Mukul M. Sharma (J. Comput. Phys., 2020)

A machine-learning framework for peridynamic material models with physical constraints. - Xiao Xu; Marta D'Elia; John T. Foster (CoRR, 2021)

A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems. - Xiao Xu; Christian Glusa; Marta D'Elia; John T. Foster (CoRR, 2021)

Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach. - Masoud Behzadinasab; Georgios Moutsanidis; Nathaniel Trask; John T. Foster; Yuri Bazilevs (CoRR, 2021)

Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion. - Yu Leng; Xiaochuan Tian; Nathaniel Trask; John T. Foster (SIAM J. Numer. Anal., 2021)

Machine-learning of nonlocal kernels for anomalous subsurface transport from breakthrough curves. - Xiao Xu; Marta D'Elia; Christian Glusa; John T. Foster (CoRR, 2022)

Multi-Output Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Uncertainties. - Mingyuan Yang; John T. Foster (CoRR, 2022)

A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. - Yu Leng; Xiaochuan Tian; Leszek F. Demkowicz; Héctor Gómez; John T. Foster (J. Comput. Phys., 2022)

Towards a unified nonlocal, peridynamics framework for the coarse-graining of molecular dynamics data with fractures. - Huaiqian You; Xiao Xu; Yue Yu; Stewart Silling; Marta D'Elia; John T. Foster (CoRR, 2023)

Spatial bagging to integrate spatial correlation into ensemble machine learning. - Fehmi Özbayrak; John T. Foster; Michael J. Pyrcz (Comput. Geosci., 2024)

Spatial bagging for predictive machine learning uncertainty quantification. - Fehmi Özbayrak; John T. Foster; Michael J. Pyrcz (Comput. Geosci., 2025)