Publications

Pre-Prints / In Preparation

2024

1. arXiv

   Gaussian mixture Taylor approximations of risk measures constrained by PDEs with Gaussian random field inputs

   Dingcheng Luo, Joshua Chen, Peng Chen, and Omar Ghattas

   Aug 2024

   Bib HTML

   @unpublished{LuoChenChenEtAl2024,
     doi = {10.48550/arXiv.2408.06615},
     title = {Gaussian mixture Taylor approximations of risk measures constrained by {PDE}s with {G}aussian random field inputs},
     author = {Luo, Dingcheng and Chen, Joshua and Chen, Peng and Ghattas, Omar},
     year = {2024},
     month = aug
   }

2. Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC

   Joseph Kirchhoff, Dingcheng Luo, Thomas O’Leary-Roseberry, and Omar Ghattas

   Aug 2024

   Bib HTML

   @unpublished{KirchhoffLuoOLearyRoseberryEtAl24a,
     author = {Kirchhoff, Joseph and Luo, Dingcheng and O'Leary-Roseberry, Thomas and Ghattas, Omar},
     title = {Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC},
     year = {2024},
     copyright = {arXiv.org perpetual, non-exclusive license},
     doi = {https://doi.org/10.48550/arXiv.2408.10217},
     keywords = {Numerical Analysis (math.NA), Optimization and Control (math.OC), FOS: Mathematics, FOS: Mathematics},
     publisher = {arXiv}
   }

2023

1. arXiv

   Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators

   Dingcheng Luo, Thomas O’Leary-Roseberry, Peng Chen, and Omar Ghattas

   Jun 2023

   Bib HTML

   @unpublished{LuoOlearyRoseberryChenEtAl2023,
     doi = {10.48550/arXiv.2305.20053},
     title = {Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators},
     author = {Luo, Dingcheng and O'Leary-Roseberry, Thomas and Chen, Peng and Ghattas, Omar},
     year = {2023},
     month = jun
   }

Journal Articles

2024

1. SOUPy: Stochastic PDE-constrained optimization under high-dimensional uncertainty in Python

   Dingcheng Luo, Peng Chen, Thomas O’Leary-Roseberry, Umberto Villa, and Omar Ghattas

   Journal of Open Source Software, Jun 2024

   Bib HTML

   @article{LuoChenOlearyRoseberryEtAl2024,
     doi = {10.21105/joss.06101},
     url = {https://doi.org/10.21105/joss.06101},
     year = {2024},
     publisher = {The Open Journal},
     volume = {9},
     number = {99},
     pages = {6101},
     author = {Luo, Dingcheng and Chen, Peng and O'Leary-Roseberry, Thomas and Villa, Umberto and Ghattas, Omar},
     title = {SOUPy: Stochastic PDE-constrained optimization under high-dimensional uncertainty in Python},
     journal = {Journal of Open Source Software}
   }

2023

1. JCP

   Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm

   Dingcheng Luo, Lianghao Cao, Peng Chen, Omar Ghattas, and J. Tinsley Oden

   Journal of Computational Physics, Jul 2023

   Bib HTML

   @article{LuoCaoChenEtAl2023,
     author = {Luo, Dingcheng and Cao, Lianghao and Chen, Peng and Ghattas, Omar and Oden, J. Tinsley},
     title = {Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm},
     doi = {10.1016/j.jcp.2023.112101},
     issn = {0021-9991},
     journal = {Journal of Computational Physics},
     keywords = {Directed self-assembly, Block copolymers, Nonlocal Cahn--Hilliard model, Optimal design, PDE-constrained optimization, Inexact Newton method},
     pages = {112101},
     volume = {485},
     month = jul,
     year = {2023}
   }

2. Investigating steady unconfined groundwater flow using Physics Informed Neural Networks

   Mohammad Afzal Shadab, Dingcheng Luo, Eric Hiatt, Yiran Shen, and Marc Andre Hesse

   Advances in Water Resources, Jul 2023

   Bib HTML

   @article{ShadabLuoHiattEtAl23,
     author = {Shadab, Mohammad Afzal and Luo, Dingcheng and Hiatt, Eric and Shen, Yiran and Hesse, Marc Andre},
     journal = {Advances in Water Resources},
     title = {Investigating steady unconfined groundwater flow using Physics Informed Neural Networks},
     year = {2023},
     issn = {0309-1708},
     month = jul,
     pages = {104445},
     volume = {177},
     doi = {10.1016/j.advwatres.2023.104445},
     publisher = {Elsevier BV}
   }