20 citations · 41 across the 8 of their papers we have counts for
8 papers
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…
A difference method for solving the nonlinear -factional differential equations on time scale
Tie Zhang
The -fractional differential equation usually describe the physics process imposed on the time scale set . In this paper, we first propose a difference formula for discreti…
A Stable Weak Galerkin Finite Element Method for Stokes Problem
Tie Zhang, Tao Lin
We study the weak Galerkin finite element method for Stokes problem. A new weak Galerkin finite element velocity-pressure space pair is presented which satisfies the discrete inf-s…
A weak Galerkin finite element method for Burgers' equation
Yanli Chen, Tie Zhang
We propose a weak Galerkin(WG) finite element method for solving the one-dimensional Burgers' equation. Based on a new weak variational form, both semi-discrete and fully-discrete…
A weak finite element method for elliptic problems in one space dimension
Tie Zhang, Yanli Chen
We present a weak finite element method for elliptic problems in one space dimension. Our analysis shows that this method has more advantages than the known weak Galerkin method pr…
The Gradient Superconvergence of Bilinear Finite Volume Element for Elliptic Problems
Tie Zhang, Lixin Tang
We study the gradient superconvergence of bilinear finite volume element (FVE) solving the elliptic problems. First, a superclose weak estimate is established for the bilinear form…
An Analysis of the Weak Finite Element Method for Convection-Diffusion Equations
Tie Zhang, Yanli Chen
We study the weak finite element method solving convection-diffusion equations. A weak finite element scheme is presented based on a spacial variational form. We established a weak…