3 papers
math.NA2024
Finite element spaces by Whitney k-forms on cubical meshes
Shuo Zhang
Finite element spaces by Whitney -forms on cubical meshes in are presented. Based on the spaces, compatible discretizations to problems are provided, and d…
math.NA2024
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…
math.NA2022
A primal finite element scheme of the elliptic problem
Shuo Zhang
In this paper, a unified family, for and , of finite element schemes are presented for the primal weak formulation of the -dimensional…