3 papers
math.NA2026
A Posteriori Error Estimation for Parabolic Equations with Enriched Galerkin Finite Element Methods
Hyun-Geun Shin, Yi-Yung Yang, Sanghyun Lee
This paper introduces a novel a posteriori error estimation framework for the enriched Galerkin (EG) finite element method applied to linear parabolic equations. While the EG metho…
math.NA2026
Heat Transfer Modeling in Enhanced Geothermal Energy: A Three-Temperature Approach for Solid, Injected, and Residing Fluids
Yi-Yung Yang, Sanghyun Lee, Dmitri Kuzmin
Enhanced geothermal systems (EGS) involve strongly coupled, advection-dominated flow and heat transfer in fractured porous media. Conventional models typically assume local thermal…
math.NA2024
Bound-preserving and entropy stable enriched Galerkin methods for nonlinear hyperbolic equations
Dmitri Kuzmin, Sanghyun Lee, Yi-Yung Yang
In this paper, we develop monolithic limiting techniques for enforcing nonlinear stability constraints in enriched Galerkin (EG) discretizations of nonlinear scalar hyperbolic equa…