60 citations · 68 across the 28 of their papers we have counts for
6 papers · 1 filter
The Immersed Skeletal Finite Element Method for Elliptic Interface Problems
Lin Yang, Qilong Zhai
In this paper, we present a new immersed finite element scheme for solving elliptic interface problems on unfitted meshes by combining the skeletal finite element method (FEM) with…
The pressure-robust weak Galerkin finite element method for Stokes-Darcy problem
Jiwei Jia, Lin Yang, Qilong Zhai
In this paper, we propose a pressure-robust weak Galerkin (WG) finite element scheme to solve the Stokes-Darcy problem. To construct the pressure-robust numerical scheme, we use th…
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…
A weak Galerkin finite element method for solving the asymptotic lower bound of Maxwell eigenvalue problem
Shusheng Li, Qilong Zhai
In this paper, we propose a weak Galerkin (WG) finite element method for the Maxwell eigenvalue problem. By restricting subspaces, we transform the mixed form of Maxwell eigenvalue…
A stabilizer free weak Galerkin method with implicit -schemes for fourth order parabolic problems
Shanshan Gu, Qilong Zhai
In this paper, we combine the stabilizer free weak Galerkin (SFWG) method and the implicit -schemes in time for to solve the fourth-order parabolic proble…
The stabilizer-free weak Galerkin finite element method for the Biharmonic equation using polynomials of reduced order
Shanshan Gu, Qilong Zhai
In this article, we decrease the degree of the polynomials on the boundary of the weak functions and modify the definition of the weak laplacian which are introduced in \cite{Bihar…