60 citations · 70 across the 8 of their papers we have counts for
8 papers
A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using Auxiliary Subspace Techniques
Jiachuan Zhang, Ran Zhang, Xiaoshen Wang
Based on the auxiliary subspace techniques, a hierarchical basis a posteriori error estimator is proposed for the Stokes problem in two and three dimensions. For the error estimato…
A stabilizer-free weak Galerkin method for the biharmonic equations
Peng Zhu, Shenglan Xie, Xiaoshen Wang
In this article, we present and analyze a stabilizer-free weak Galerkin (SF-C0WG) method for solving the biharmonic problem. The SF-C0WG method is formulated in terms of cell…
A stabilizer free weak Galerkin element method with supercloseness of order two
Ahmed Al-Taweel, Xiaoshen Wang, Xiu Ye +1
The weak Galerkin (WG) finite element method is an effective and flexible general numerical techniques for solving partial differential equations. A simple weak Galerkin finite ele…
The lowest-order stabilizer free Weak Galerkin Finite Element Method
Ahmed Al-Taweel, Xiaoshen Wang
Recently, a new stabilizer free weak Galerkin method (SFWG) is proposed, which is easier to implement and more efficient. The main idea is that by letting for some $j…
A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
Ahmed Al-Taweel, Xiaoshen Wang
Recently, a new stabilizer free weak Galerkin method (SFWG) is proposed, which is easier to implement. The idea is to raise the degree of polynomials j for computing weak gradient.…
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…