138 citations · 489 across the 53 of their papers we have counts for
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A C^0-Weak Galerkin Finite Element Method for the Biharmonic Equation
Lin Mu, Junping Wang, Xiu Ye +1
A C^0-weak Galerkin (WG) method is introduced and analyzed for solving the biharmonic equation in 2D and 3D. A weak Laplacian is defined for C^0 functions in the new weak formulati…
Weak Galerkin Finite Element Methods for Parabolic Equations
Qiaoluan H. Li, Junping Wang
A newly developed weak Galerkin method is proposed to solve parabolic equations. This method allows the usage of totally discontinuous functions in approximation space and preserve…
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…
Weak Galerkin Finite Element Methods on Polytopal Meshes
Lin Mu, Junping Wang, Xiu Ye
This paper introduces a new weak Galerkin (WG) finite element method for second order elliptic equations on polytopal meshes. This method, called WG-FEM, is designed by using a dis…
A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic Problems
Junping Wang, Xiu Ye
A new weak Galerkin (WG) method is introduced and analyzed for the second order elliptic equation formulated as a system of two first order linear equations. This method, called WG…