publications

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2024

  1. Existence and uniqueness in ocean-atmosphere turbulent flux algorithms in E3SM
    Justin Dong, Michael A. Brunke, Xubin Zeng, and 3 more authors
    submitted, 2024
    PDF
  2. Extended Galerkin neural network approximation of singular variational problems with error control
    Mark Ainsworth, and Justin Dong
    arXiv preprint arXiv:2405.00815, 2024
    arXiv

2023

  1. Rheol. Acta
    Machine learning methods for particle stress development in suspension Poiseuille flows
    Amanda A Howard, Justin Dong, Ravi Patel, and 3 more authors
    Rheologica Acta, 2023

2022

  1. CMAME
    Galerkin neural network approximation of singularly-perturbed elliptic systems
    Mark Ainsworth, and Justin Dong
    Computer Methods in Applied Mechanics and Engineering, 2022
    PDF

2021

  1. SISC
    Galerkin neural networks: A framework for approximating variational equations with error control
    Mark Ainsworth, and Justin Dong
    SIAM Journal on Scientific Computing, 2021
    arXiv

2016

  1. COMP. GEO.
    A semi-implicit method for incompressible three-phase flow in porous media
    Justin Dong, and Béatrice Rivière
    Computational Geosciences, 2016
    PDF