285 citations · 737 across the 29 of their papers we have counts for
31 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…
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…
A function space approach to the shape optimization of the Boussinesq system
Andrea Ceretani, Weiwei Hu, Lin Mu +1
We investigate a shape optimization problem for a heat-conducting fluid governed by a Boussinesq system. The main goal is to determine an optimal domain shape that yields a tempera…
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…