120 citations · 285 across the 10 of their papers we have counts for
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An Enriched Galerkin Method for the Stokes Equations
Son-Young Yi, Xiaozhe Hu, Sanghyun Lee +1
We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements for the velocity unknowns and piecewise constant elements for the pressur…
Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot's System by Employing Machine Learning
Sanghyun Lee, Teeratorn Kadeethum, Hamidreza M. Nick
In this paper, the optimal choice of the interior penalty parameter of the discontinuous Galerkin finite element methods for both the elliptic problems and the Biot's systems are s…
Enriched Galerkin methods for two-phase flow in porous media with capillary pressure
Sanghyun Lee, Mary F. Wheeler
In this paper, we propose an enriched Galerkin (EG) approximation for a two-phase pressure saturation system with capillary pressure in heterogeneous porous media. The EG methods a…
Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization
Sanghyun Lee, Mary F. Wheeler
We present a novel approach to the simulation of miscible displacement by employing adaptive enriched Galerkin finite element methods (EG) coupled with entropy residual stabilizati…
Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches
Sanghyun Lee, Thomas Wick, Mary F. Wheeler
In this work, we present numerical studies of fixed-stress iterative coupling for solving flow and geomechanics with propagating fractures in a porous medium. Specifically, fractur…
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions
Sanghyun Lee, Abner J. Salgado
We present a stability analysis for two different rotational pressure correction schemes with open and traction boundary conditions. First, we provide a stability analysis for a ro…
Numerical Simulations of Bouncing Jets
Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee
Bouncing jets are fascinating phenomenons occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet…