138 citations · 489 across the 39 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…
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…
Weak Galerkin Methods for Second Order Elliptic Interface Problems
Lin Mu, Junping Wang, Guowei Wei +2
Weak Galerkin methods refer to general finite element methods for PDEs in which differential operators are approximated by their weak forms as distributions. Such weak forms give r…