Postdoctoral Researchers

• Dr. Kapil Chawla
  Research associate supported by DOE Earthshot (2025-2027)
  Research topic: Machine learning, Mulit scale
  • Kapil Chawla, Youngjoon Hong, Jaeyong Lee, Sanghyun Lee; Discontinuous Galerkin finite element operator network for solving non-smooth PDEs
  • Kapil Chawla, Sanghyun Lee, Yeonjong Shin; A Parallel and Adaptive Mesh-Free method for Heterogeneous Porous Media

Graduate Students

• Seungmin Lee
  Ph.D student (2023 - ), Supported by DOE Earthshot
  Research topic: Data assimilation, Porous media flow, Biot's equation
  • Seungmin Lee, Sanghyun Lee; Convergence and Numerical Simulations of the Continuous Data Assimilation for Biot's Poroelasticity System Computers and Mathematics with ApplicationsVolume 202, 15 January 2026, Pages 20-37
• Jonathan Valyou
  Ph.D student (2023 - ), Co-chair Hristo Chipilski (Department of Scientific Computing), Supported by DOE Earthshot
  Research topic: Optimal Control, Data Assimilation
  • Jonathan Valyou, Jeremy Brandman, Sanghyun Lee; Optimal mean-time path planning for unmanned underwater vehicles: a Hamilton-Jacobi approach
  • Sanghyun Lee, Zhengqi Liu, Jonathan Valyou, Ludmil Zikatanov; A Conjugate Gradient Formulation of the EnKF Algorithm
• Latira Campbell
  Ph.D student (2023 - ), Co-chair with Nicholas Dexter (Department of Scientific Computing)
  Research topic: Graph Neural Network

Group Alumni

• 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
• Yi-Yung Yang
  Ph.D student (2021 - Aug 2026), Supported by NSF (DMS-2208402, DMS-2327841) and DOE Earthshot
  Research topic: Enriched Galerkin methods, Hyperbolic PDEs
  • Dmitri Kuzmin, Sanghyun Lee, Yi-Yung Yang; Bound-preserving and entropy stable enriched Galerkin methods for nonlinear hyperbolic equations Journal of Computational Physics, Volume 541, 5 November 2025, 114323
  • Hyun-Geun Shin, Yi-Yung Yang, Sanghyun Lee; A Posteriori Error Estimation for Parabolic Equations with Enriched Galerkin Finite Element Methods
  • Yi-Yung Yang, Sanghyun Lee, Dmitri Kuzmin; Heat Transfer Modeling in Enhanced Geothermal Energy: A Three-Temperature Approach for Solid, Injected, and Residing Fluids
• Sanjeeb Poudel
  Ph.D student (2022 - Aug 2026), Co-chair with Xiaqiang Wang (Department of Scientific Computing)
  Supported by DOE Earthshot
  Research topic: Data assimilation, Enriched Galerkin methods, Machine Learning
  • Sanjeeb Poudel, Teeratorn Kadeethum, Sanghyun Lee; Enhancing neural network extrapolation in thermo-fluid systems using steady-state solutions
  • Sanjeeb Poudel, Sanghyun Lee, Lin Mu; Pressure-robust enriched Galerkin finite element methods for coupled Navier-Stokes and heat equations
  • 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 Journal of Computational Physics, Volume 544, 1 January 2026, 114416
• Ruth Lopez
  Ph.D. student (2022 - Apr 2026), Co-chair with Feng Bao
  Research topic:Ensemble Score Filter, Data Assimilation
• Dabin Park
  Visiting Ph.D student (2023 - 2024)
  Research topic: ML + FEM for inverse elliptic PDEs
  • Dabin Park, Sanghyun Lee, Sunghwan Moon; A Machine Learning and Finite Element Framework for Inverse Elliptic PDEs via Dirichlet-to-Neumann Mapping Journal of Computational and Applied Mathematics, Volume 486, November 2026, 117679