collaborators

5 papers

math.OC2026

Optimal mean-time path planning for unmanned underwater vehicles: a Hamilton-Jacobi approach

Jonathan Valyou, Jeremy Brandman, Sanghyun Lee

Unmanned underwater vehicles (UUV) integrate ocean forecasts with path planning algorithms in order to identify energy- or time-minimizing paths that enable mission completion. Typ…

math.NA2026

A Conjugate Gradient Formulation of the EnKF Algorithm

Sanghyun Lee, Zhengqi Liu, Jonathan Valyou +1

Ensemble Kalman Filter (EnKF) based data assimilation algorithms synthesize predictive numerical forecast models with accumulated data as time evolves and account for model uncerta…

cs.CE2026

Enhancing neural network extrapolation in thermo-fluid systems using steady-state solutions

Sanjeeb Poudel, Teeratorn Kadeethum, Sanghyun Lee

Time-dependent partial differential equations (PDEs) arise in many engineering systems, including thermo-fluid applications. Classical numerical simulations of such systems can bec…

cs.CE2025

Pressure-robust enriched Galerkin finite element methods for coupled Navier-Stokes and heat equations

Sanjeeb Poudel, Sanghyun Lee, Lin Mu

We propose a pressure-robust enriched Galerkin (EG) finite element method for the incompressible Navier-Stokes and heat equations in the Boussinesq regime. For the Navier-Stokes eq…

math.NA2025

Ensemble Score Filter for Data Assimilation of Two-Phase Flow Models in Porous Media

Ruoyu Hu, Sanjeeb Poudel, Feng Bao +1

Numerical modeling and simulation of two-phase flow in porous media is challenging due to the uncertainties in key parameters, such as permeability. To address these challenges, we…