A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits

L Zhao, E Chung, MF Lam - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
In this paper we propose a novel staggered discontinuous Galerkin method for the Brinkman
problem on general polygonal meshes. The proposed method is robust in the Stokes and …

A staggered DG method of minimal dimension for the Stokes equations on general meshes

L Zhao, EJ Park, D Shin - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
In this paper, a locally conservative, lowest order staggered discontinuous Galerkin method
is developed for the Stokes equations. The proposed method allows rough grids and is …

A lowest-order staggered DG method for the coupled Stokes–Darcy problem

L Zhao, EJ Park - IMA Journal of Numerical Analysis, 2020 - academic.oup.com
In this paper we propose a locally conservative, lowest-order staggered discontinuous
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …

Staggered DG method for coupling of the Stokes and Darcy--Forchheimer problems

L Zhao, ET Chung, EJ Park, G Zhou - SIAM Journal on Numerical Analysis, 2021 - SIAM
In this paper we develop a staggered discontinuous Galerkin method for the Stokes and
Darcy--Forchheimer problems coupled with the Beavers--Joseph--Saffman conditions. The …

A new hybrid staggered discontinuous Galerkin method on general meshes

L Zhao, EJ Park - Journal of Scientific Computing, 2020 - Springer
A novel high-order hybrid staggered discontinuous Galerkin method for general meshes is
proposed to solve general second order elliptic problems. Our new formulation is related to …

Staggered DG method with small edges for Darcy flows in fractured porous media

L Zhao, D Kim, EJ Park, E Chung - Journal of Scientific Computing, 2022 - Springer
In this paper, we present and analyze a staggered discontinuous Galerkin method for Darcy
flows in fractured porous media on fairly general meshes. A staggered discontinuous …

A staggered cell-centered DG method for linear elasticity on polygonal meshes

L Zhao, EJ Park - SIAM Journal on Scientific Computing, 2020 - SIAM
We develop a new numerical method, namely, a locking-free staggered cell-centered
discontinuous Galerkin method for linear elasticity on fairly general meshes. The method is …

[HTML][HTML] Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations

L Zhao, EJ Park - Computers & Mathematics with Applications, 2018 - Elsevier
We first propose a guaranteed upper bound for an arbitrary order staggered discontinuous
Galerkin (staggered DG) method for the Stokes equations with the use of the global inf–sup …

[HTML][HTML] Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number

L Zhao, EJ Park, ET Chung - Computers & Mathematics with Applications, 2020 - Elsevier
In this paper we investigate staggered discontinuous Galerkin method for the Helmholtz
equation with large wave number on general polygonal meshes. The method is highly …

A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem

L Zhao, MF Lam, E Chung - Communications on Applied Mathematics and …, 2022 - Springer
In this paper, we propose and analyze a uniformly robust staggered DG method for the
unsteady Darcy-Forchheimer-Brinkman problem. Our formulation is based on velocity …