138 citations · 214 across the 13 of their papers we have counts for
10 papers · 1 filter
A Weak Galerkin Mixed Finite Element Method for second order elliptic equations on 2D Curved Domains
Yi Liu, Wenbin Chen, Yanqiu Wang
This article concerns the weak Galerkin mixed finite element method (WG-MFEM) for second order elliptic equations on 2D domains with curved boundary. The Neumann boundary condition…
New Epitaxial Thin Film Models and numerical approximation
Wenbin Chen, Zhenhua Chen, Jin Cheng +1
This paper concerns new continuum phenomenological model for epitaxial thin film growth with three different forms of the Ehrlich-Schwoebel current. Two of these forms were first p…
Anisotropic mesh quality measures and adaptation for polygonal meshes
Weizhang Huang, Yanqiu Wang
Anisotropic mesh quality measures and anisotropic mesh adaptation are studied for polygonal meshes. Three sets of alignment and equidistribution measures are developed, one based o…
Minimal degree H(curl) and H(div) conforming finite elements on polytopal meshes
Wenbin Chen, Yanqiu Wang
We construct H(curl) and H(div) conforming finite elements on convex polygons and polyhedra with minimal possible degrees of freedom, i.e., the number of degrees of freedom is equa…
An auxiliary space multigrid preconditioner for the weak Galerkin method
Long Chen, Junping Wang, Yanqiu Wang +1
In this paper, the authors constructed an auxiliary space multigrid preconditioner for the weak Galerkin finite element method for second-order diffusion equations, discretized on…
Weak Galerkin method for the coupled Darcy-Stokes flow
Wenbin Chen, Fang Wang, Yanqiu Wang
A family of weak Galerkin finite element discretization is developed for solving the coupled Darcy-Stokes equation. The equation in consideration admits the Beaver-Joseph-Saffman c…
Discrete maximum principle for the weak Galerkin method for anisotropic diffusion problems
Weizhang Huang, Yanqiu Wang
A weak Galerkin discretization of the boundary value problem of a general anisotropic diffusion problem is studied for preservation of the maximum principle. It is shown that the d…
Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes
Mu Lin, Junping Wang, Yanqiu Wang +1
This paper focuses on interior penalty discontinuous Galerkin methods for second order elliptic equations on very general polygonal or polyhedral meshes. The mesh can be composed o…
A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
Lin Mu, Junping Wang, Yanqiu Wang +1
This article introduces and analyzes a weak Galerkin mixed finite element method for solving the biharmonic equation. The weak Galerkin method, first introduced by two of the autho…
A Computational Study of the Weak Galerkin Method for Second-Order Elliptic Equations
Lin Mu, Junping Wang, Yanqiu Wang +1
The weak Galerkin finite element method is a novel numerical method that was first proposed and analyzed by Wang and Ye for general second order elliptic problems on triangular mes…