18 citations · 29 across the 8 of their papers we have counts for
8 papers
Fully discrete analysis of pressure-robust enriched Galerkin methods for the time-dependent Stokes equations
Seulip Lee, Lin Mu
This paper presents a fully discrete analysis of pressure-robust enriched Galerkin (EG) methods for the time-dependent Stokes equations. The spatial discretization employs a veloci…
A unified spatiotemporal formulation with physics-preserving structure for time-dependent convection-diffusion problems
James H. Adler, Xiaozhe Hu, Seulip Lee
We propose a unified four-dimensional (4D) spatiotemporal formulation for time-dependent convection-diffusion problems that preserves underlying physical structures. By treating ti…
A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
SeongHee Jeong, Seulip Lee, Sijing Liu
We propose and analyze a monotone finite element method for an elliptic distributed optimal control problem constrained by a convection-diffusion-reaction equation in the convectio…
A weak Galerkin method with preconditioning for constrained optimal control problems with general tracking
SeongHee Jeong, Seulip Lee, Kening Wang
This paper presents a weak Galerkin (-WG) method combined with an additive Schwarz preconditioner for solving optimal control problems (OCPs) governed by partial differe…
Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems
Shuhao Cao, Long Chen, Seulip Lee
This manuscript develops edge-averaged virtual element (EAVE) methodologies to address convection-diffusion problems effectively in the convection-dominated regime. It introduces a…
A uniform and pressure-robust enriched Galerkin method for the Brinkman equations
Seulip Lee, Lin Mu
This paper presents a pressure-robust enriched Galerkin (EG) method for the Brinkman equations with minimal degrees of freedom based on EG velocity and pressure spaces. The velocit…
A low-cost, parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations
Seulip Lee, Lin Mu
In this paper, we propose a low-cost, parameter-free, and pressure-robust Stokes solver based on the enriched Galerkin (EG) method with a discontinuous velocity enrichment function…
Pressure-robust enriched Galerkin methods for the Stokes equations
Xiaozhe Hu, Seulip Lee, Lin Mu +1
In this paper, we present a pressure-robust enriched Galerkin (EG) scheme for solving the Stokes equations, which is an enhanced version of the EG scheme for the Stokes problem pro…