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Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems
Bin Dai, Huilan Zeng, Chensong Zhang +1
In this paper, we study the numerical method for the bi-Laplace problems with inhomogeneous coefficients; particularly, we propose finite element schemes on rectangular grids respe…
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…
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…
Optimal quadratic element on rectangular grids for problems
Huilan Zeng, Chensong Zhang, Shuo Zhang
In this paper, a piecewise quadratic finite element method on rectangular grids for the problems is presented. The proposed method can be viewed as a reduced rectangular Morl…