1 citations · 1 across the 6 of their papers we have counts for
9 papers
Low-degree robust Hellinger-Reissner finite element schemes for planar linear elasticity with symmetric stress tensors
Shuo Zhang
In this paper, we study the construction of low-degree robust finite element schemes for planar linear elasticity on general triangulations. Firstly, we present a low-degree noncon…
A lowest-degree strictly conservative finite element scheme for incompressible Stokes problem on general triangulations
Wenjia Liu, Shuo Zhang
In this paper, we propose a finite element pair for incompressible Stokes problem. The pair uses a slightly enriched piecewise linear polynomial space for velocity and piecewise co…
A low-degree strictly conservative finite element method for incompressible flows
Huilan Zeng, Chen-Song Zhang, Shuo Zhang
In this paper, a new finite element pair is proposed for incompressible fluid. For this pair, the discrete inf-sup condition and the discrete Korn's inequality hold o…
A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem
Yingxia Xi, Xia Ji, Shuo Zhang
The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials…
Lowest-degree robust finite element scheme for a fourth-order elliptic singular perturbation problem on rectangular grids
Huilan Zeng, Chen-Song Zhang, Shuo Zhang
In this paper, a piecewise quadratic nonconforming finite element method on rectangular grids for a fourth-order elliptic singular perturbation problem is presented. This proposed…
Lowest-degree piecewise polynomial de Rham complex on general quadrilateral grids
Qimeng Quan, Xia Ji, Shuo Zhang
This paper is devoted to the construction of finite elements on grids that consist of general quadrilaterals not limited in parallelograms. Two finite elements defined as Ciarlet's…