60 citations · 68 across the 28 of their papers we have counts for
5 papers · 1 filter
Weak Galerkin methods for the Stokes eigenvalue problem
Yunying Fan, Qilong Zhai
In this paper, we rewrite the Stokes eigenvalue problem as an Elliptic eigenvalue problem restricted to subspace, and introduce an abstract framework of solving abstract elliptic e…
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…
The weak Galerkin finite element method for the Steklov eigenvalue problem
Shusheng Li, Hehu Xie, Qilong Zhai
This paper introduces the application of the weak Galerkin (WG) finite element method to solve the Steklov eigenvalue problem, focusing on obtaining lower bounds of the eigenvalues…
A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress-displacement formulation
Zhongshu Zhao, Hui Peng, Qilong Zhai +1
In this paper, we develop an arbitrary-order locking-free enriched Galerkin method for the linear elasticity problem using the stress-displacement formulation in both two and three…
A conforming discontinuous Galerkin finite element method for Brinkman equations
Haoning Dang, Qilong Zhai, Zhongshu Zhao
In this paper, we present a conforming discontinuous Galerkin (CDG) finite element method for Brinkman equations. The velocity stabilizer is removed by employing the higher degree…