77 citations · 167 across the 15 of their papers we have counts for
15 papers
The weak Galerkin finite element method for Stokes interface problems with curved interface
Lin Yang, Qilong Zhai, Ran Zhang
In this paper, we develop a new weak Galerkin finite element scheme for the Stokes interface problem with curved interfaces. We take a unique vector-valued function at the interfac…
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 impact of multilateral imported cases of COVID-19 on the epidemic control in China
Jiwei Jia, Siyu Liu, Jing Ding +3
Nowadays, the epidemic of COVID-19 in China is under control. However, the epidemic are developing rapidly around the world. Due to the normal migration of population, China is fac…
Modeling the Control of COVID-19: Impact of Policy Interventions and Meteorological Factors
Jiwei Jia, Jian Ding, Siyu Liu +5
In this paper, we propose a dynamical model to describe the transmission of COVID-19, which is spreading in China and many other countries. To avoid a larger outbreak in the worldw…
A High order Conservative Flux Optimization Finite Element Method for Diffusion Equations
Yujie Liu, Yue Feng, Ran Zhang
This article presents a high order conservative flux optimization (CFO) finite element method for the elliptic diffusion equations. The numerical scheme is based on the classical G…
The Shifted-inverse Power Weak Galerkin Method for Eigenvalue Problems
Qilong Zhai, Xiaozhe Hu, Ran Zhang
This paper proposes and analyzes a new weak Galerkin method for the eigenvalue problem by using the shifted-inverse power technique. A high order lower bound can be obtained at a r…
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem
Qilong Zhai, Hehu Xie, Ran Zhang +1
Recently, we proposed a weak Galerkin finite element method for the Laplace eigenvalue problem. In this paper, we present two-grid and two-space skills to accelerate the weak Galer…
Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin method
Ruishu Wang, Ran Zhang, Xu Zhang +1
In this paper, we analyze convergence and supercloseness properties of a class of weak Galerkin (WG) finite element methods for solving second-order elliptic problems. It is shown…
A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order
Ran Zhang, Qilong Zhai
A new weak Galerkin (WG) finite element method for solving the biharmonic equation in two or three dimensional spaces by using polynomials of reduced order is introduced and analyz…
A Weak Galerkin Finite Element Scheme for solving the stationary Stokes Equations
Ruishu Wang, Xiaoshen Wang, Qilong Zhai +1
A weak Galerkin (WG) finite element method for solving the stationary Stokes equations in two- or three- dimensional spaces by using discontinuous piecewise polynomials is develope…
A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems
Qilong Zhai, Xiu Ye, Ruishu Wang +1
A new weak Galerkin (WG) finite element method for solving the second-order elliptic problems on polygonal meshes by using polynomials of boundary continuity is introduced and anal…
The weak Galerkin method for eigenvalue problems
Hehu Xie, Qilong Zhai, Ran Zhang
This article is devoted to computing the eigenvalue of the Laplace eigenvalue problem by the weak Galerkin (WG) finite element method with emphasis on obtaining lower bounds. The W…
A Locking-Free Weak Galerkin Finite Element Method for Elasticity Problems in the Primal Formulation
Chunmei Wang, Junping Wang, Ruishu Wang +1
This paper presents an arbitrary order locking-free numerical scheme for linear elasticity on general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element met…
A Hybridized Weak Galerkin Finite Element Scheme for the Stokes Equations
Qilong Zhai, Ran Zhang, Xiaoshen Wang
In this paper a hybridized weak Galerkin (HWG) finite element method for solving the Stokes equations in the primary velocity-pressure formulation is introduced. The WG method uses…
Maximum Principles for P1-Conforming Finite Element Approximations of Quasi-Linear Second Order Elliptic Equations
Junping Wang, Ran Zhang
This paper derives some discrete maximum principles for -conforming finite element approximations for quasi-linear second order elliptic equations. The results are extensions o…