39 citations · 48 across the 19 of their papers we have counts for
19 papers · 1 filter
Pressure-robust -a posteriori error estimates of -conforming discontinuous Galerkin methods for the Stokes equations
Zhaonan Dong, Zuodong Wang, Lina Zhao
We devise and analyze a pressure-robust residual-based -a posteriori error estimator for -conforming discontinuous Galerkin (dG) methods for the S…
Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media
Leonardo A. Poveda, Shubin Fu, Eric T. Chung +1
This paper presents and analyses a Constraint Energy Minimization Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving single-phase non-linear compressible flows i…
Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation
Lina Zhao, Eric Chung
In this paper we present and analyze a constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. To define the multiscale basis f…
Generalized multiscale finite element method for highly heterogeneous compressible flow
Shubin Fu, Eric Chung, Lina Zhao
In this paper, we study the generalized multiscale finite element method (GMsFEM) for single phase compressible flow in highly heterogeneous porous media. We follow the major steps…
A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport
Lina Zhao, Shuyu Sun
In this paper, a strongly mass conservative and stabilizer free scheme is designed and analyzed for the coupled Brinkman-Darcy flow and transport. The flow equations are discretize…
A Robin-type domain decomposition method for a novel mixed-type DG method for the coupled Stokes-Darcy problem
Lina Zhao
In this paper, we first propose and analyze a novel mixed-type DG method for the coupled Stokes-Darcy problem on simplicial meshes. The proposed formulation is locally conservative…
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…
Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients
Eric Chung, Hyea Hyun Kim, Ming Fai Lam +1
In this paper, we consider the balancing domain decomposition by constraints (BDDC) algorithm with adaptive coarse spaces for a class of stochastic elliptic problems. The key ingre…
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…
Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations
Yiran Wang, Eric Chung, Lina Zhao
In this paper, we develop the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) in mixed formulation applied to parabolic equations with hete…
A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem
Lina Zhao, Ming Fai Lam, Eric Chung
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 gradient-veloc…
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.…
Adaptive staggered DG method for Darcy flows in fractured porous media
Lina Zhao, Eric Chung
Modeling flows in fractured porous media is important in applications. One main challenge in numerical simulation is that the flow is strongly influenced by the fractures, so that…
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…
A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
Lina Zhao, Eric Chung, Ming Fai Lam
In this paper we propose a novel staggered discontinuous Galerkin method for the Brinkman problem on general quadrilateral and polygonal meshes. The proposed method is robust in th…
A posteriori error estimates for the mortar staggered DG method
Lina Zhao, Eric Chung
Two residual-type error estimators for the mortar staggered discontinuous Galerkin discretizations of second order elliptic equations are developed. Both error estimators are prove…
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…
Staggered discontinuous Galerkin methods for the Helmholtz equations with large wave number
Lina Zhao, Eun-Jae Park, Eric Chung
In this paper we investigate staggered discontinuous Galerkin method for the Helmholtz equation with large wave number on general quadrilateral and polygonal meshes. The method is…
An analysis of the NLMC upscaling method for high contrast problems
Lina Zhao, Eric T. Chung
In this paper we propose simple multiscale basis functions with constraint energy minimization to solve elliptic problems with high contrast medium. Our methodology is based on the…