138 citations · 489 across the 53 of their papers we have counts for
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A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions
Yujie Liu, Junping Wang
This article establishes a discrete maximum principle (DMP) for the approximate solution of convection-diffusion-reaction problems obtained from the weak Galerkin finite element me…
A Simplified Weak Galerkin Finite Element Method: Algorithm and Error Estimates
Yujie Liu, Junping Wang
In this article a simplified weak Galerkin finite element method is developed for the Dirichlet boundary value problem of convection-diffusion-reaction equations. The simplified we…
Primal-Dual Weak Galerkin Finite Element Methods for Elliptic Cauchy Problems
Chunmei Wang, Junping Wang
The authors propose and analyze a well-posed numerical scheme for a type of ill-posed elliptic Cauchy problem by using a constrained minimization approach combined with the weak Ga…
Superconvergence of the Gradient Approximation for Weak Galerkin Finite Element Methods on Nonuniform Rectangular Partitions
Dan Li, Chunmei Wang, Junping Wang
This article presents a superconvergence for the gradient approximation of the second order elliptic equation discretized by the weak Galerkin finite element methods on nonuniform…
Simplified Weak Galerkin and New Finite Difference Schemes for the Stokes Equation
Yujie Liu, Junping Wang
This article presents a simplified formulation for the weak Galerkin finite element method for the Stokes equation without using the degrees of freedom associated with the unknowns…