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20192021
most citedPressure-robust staggered DG methods for the Navier-Stokes equations on general meshes

2 citations · 4 across the 5 of their papers we have counts for

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math.NA20212 cited

Pressure-robust staggered DG methods for the Navier-Stokes equations on general meshes

Dohyun Kim, Lina Zhao, Eric Chung +1

In this paper, we design and analyze staggered discontinuous Galerkin methods of arbitrary polynomial orders for the stationary Navier-Stokes equations on polygonal meshes. The exa…

math.NA2020

Locking free staggered DG method for the Biot system of poroelasticity on general polygonal meshes

Lina Zhao, Eric Chung, Eun-Jae Park

In this paper we propose and analyze a staggered discontinuous Galerkin method for a five-field formulation of the Biot system of poroelasticity on general polygonal meshes. Elasti…

math.NA20201 cited

A pressure robust staggered discontinuous Galerkin method for the Stokes equations

Lina Zhao, Eun-Jae Park, Eric Chung

In this paper we propose a pressure robust staggered discontinuous Galerkin method for the Stokes equations on general polygonal meshes by using piecewise constant approximations.…

math.NA2020

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

Lina Zhao, Dohyun Kim, Eun-Jae Park +1

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 Galerk…

math.NA20191 cited

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

Lina Zhao, Eric Chung, Eun-Jae Park +1

In this paper we develop a staggered discontinuous Galerkin method for the Stokes and Darcy-Forchheimer problems coupled with the \Red{Beavers-Joseph-Saffman} conditions. The metho…