Projects & Outcomes

Postdoctoral Researchers

• Dr. Seonghee Jeong
  Math. Dept. Postdoc (2023-2025)
  Research topic: Optimal control
  • SeongHee Jeong, Sanghyun Lee Optimal Control for Darcy's flow in a heterogeneous porous media, Applied Numerical Mathematics, Volume 207 , January 2025, Pages 303-3222
• Dr. Kapil Chawla
  Research associate (2025 -)
  Research topic: DOE: Earthshot, Machine learning, Mulit scale
  • DG-FEMOnet
  • SINDy based multi scale approach

Students

• Yi-Yung Yang
  Ph.D student (2021 - 2026)
  Research topic: Supported by NSF, Enriched Galerkin methods, Hyperbolic PDEs
  • Hyun-Geun Shin, Yi-Yung Yang, Sanghyun Lee A Posteriori Error Estimation for Parabolic Equations with Enriched Galerkin Finite Element Methods
  • Dmitri Kuzmin, Sanghyun Lee, Yi-Yung Yang Bound-preserving and entropy stable enriched Galerkin methods for nonlinear hyperbolic equations
• Sanjeeb Poudel
  Ph.D student (2022 - 2026)
  Research topic: Data assimilation, Enriched Galerkin methods, Machine Learning
  • Sanjeeb Poudel*, Xiaoqiang Wang, Sanghyun Lee A novel technique for minimizing energy functional using neural networks, Volume 133, Part D, July 2024, 108313, Engineering Applications of Artificial Intelligence
  • Ryuou Hu, Sanjeeb Poudel, Feng Bao, Sanghyun Lee Ensemble Score Filter for Data Assimilation of Two-Phase Flow Models in Porous Media, in Revision, Journal of Computational Physics, 2025
• Seungmin Lee
  Ph.D student (2023 - )
  Research topic: DOE Earthshot (DE-SC0024703), Data assimilation
  • Seungmin Lee, Sanghyun Lee Convergence and Numerical Simulations of the Continuous Data Assimilation for Biot's Poroelasticity System
• Jonathan Valyou
  Ph.D student (2023 - )
  Research topic: Optimal Control, Data Assimilation
  • NRL Project
  • CG based ENKF
• Latira Campbell
  Ph.D student (2023 - )
  Research topic: Graph Neural Network
• Dabin Park
  Visiting Ph.D student (2023 - 2024)
  Research topic: ML + FEM for inverse elliptic PDEs
  • Park, Lee, Moon; A Machine Learning and Finite Element Framework, submitted/preprint.