4 papers
A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
Shicheng Liu, Qilong Zhai
In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and nu…
Convergence analysis of a weak Galerkin finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation in 2D
Shicheng Liu, Xiangyun Meng, Qilong Zhai
In this paper, we propose a weak Galerkin finite element method (WG) for solving singularly perturbed convection-diffusion problems on a Bakhvalov-type mesh in 2D. Our method is fl…
The stabilizer free weak Galerkin mixed finite elements method for the biharmonic equation
Shanshan Gu, Fuchang Huo, Shicheng Liu
In this article, the stabilizer free weak Galerkin (SFWG) finite element method is applied to the Ciarlet-Raviart mixed form of the Biharmonic equation. We utilize the SFWG solutio…
Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D
Shicheng Liu, Xiangyun Meng, Qilong Zhai
We consider the singularly perturbed fourth-order boundary value problem on the unit square , with boundary conditions $u = \p…