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A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
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 …
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
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 …
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
In this paper we propose a locally conservative, lowest-order staggered discontinuous
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …
Staggered DG method for coupling of the Stokes and Darcy--Forchheimer problems
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 …
Darcy--Forchheimer problems coupled with the Beavers--Joseph--Saffman conditions. The …
A new hybrid staggered discontinuous Galerkin method on general meshes
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 …
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
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 …
flows in fractured porous media on fairly general meshes. A staggered discontinuous …
A staggered cell-centered DG method for linear elasticity on polygonal meshes
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 …
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
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 …
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
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 …
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
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 …
unsteady Darcy-Forchheimer-Brinkman problem. Our formulation is based on velocity …