15 citations · 53 across the 21 of their papers we have counts for
24 papers
Weak Galerkin Finite Element Methods for Quad-Curl Problems
Chunmei Wang, Junping Wang, Shangyou Zhang
This article introduces a weak Galerkin (WG) finite element method for quad-curl problems in three dimensions. It is proved that the proposed WG method is stable and accurate in an…
A parallel iterative procedure for weak Galerkin methods for second order elliptic problems
Chunmei Wang, Junping Wang, Shangyou Zhang
A parallelizable iterative procedure based on domain decomposition is presented and analyzed for weak Galerkin finite element methods for second order elliptic equations. The conve…
The nodal basis of - and - finite elements on tetrahedral and 4D simplicial grids
Shangyou Zhang
We construct the nodal basis of - () and - () finite elements on 3D tetrahedral and 4D simplicial grids, respectivel…
A weak Galerkin-mixed finite element method for the Stokes-Darcy problem
Hui Peng, Qilong Zhai, Ran Zhang +1
In this paper, we propose a new numerical scheme for the coupled Stokes-Darcy model with Beavers-Joseph-Saffman interface condition. We use the weak Galerkin method to discretize t…
The Weak Galerkin Finite Element Method for the Transport-Reaction Equation
Tie Zhang, Shangyou Zhang
We present and analyze a weak Galerkin finite element method for solving the transport-reaction equation in space dimensions. This method is highly flexible by allowing the use…
The Weak Galerkin Finite Element Method for the Symmetric Hyperbolic Systems
Tie Zhang, Shangyou Zhang
In this paper, we present and analyze a weak Galerkin finite element (WG) method for solving the symmetric hyperbolic systems. This method is highly flexible by allowing the use of…