76 citations · 108 across the 14 of their papers we have counts for
14 papers
Two low-order nonconforming finite element methods for the Stokes flow in 3D
Jun Hu, Mira Schedensack
In this paper, we propose two low order nonconforming finite element methods (FEMs) for the three-dimensional Stokes flow that generalize the non-conforming FEM of Kouhia and Stenb…
Residual-Based A Posteriori Error Estimates for Symmetric Conforming Mixed Finite Elements for Linear Elasticity Problems
Long Chen, Jun Hu, Xuehai Huang +1
A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems of Dirichlet and mixed boundary conditions are proposed. Stability and e…
Nodal Finite Element de Rham Complexes
Snorre H. Christiansen, Jun Hu, Kaibo Hu
We construct 2D and 3D finite element de Rham sequences of arbitrary polynomial degrees with extra smoothness. Some of these elements have nodal degrees of freedom (DoFs) and can b…
Fast Auxiliary Space Preconditioner for Linear Elasticity in Mixed Form
Long Chen, Jun Hu, Xuehai Huang
A block diagonal preconditioner with the minimal residual method and a block triangular preconditioner with the generalized minimal residual method are developed for Hu-Zhang mixed…
Stabilized mixed finite element methods for linear elasticity on simplicial grids in
Long Chen, Jun Hu, Xuehai Huang
In this paper, we design two classes of stabilized mixed finite element methods for linear elasticity on simplicial grids. In the first class of elements, we use $\boldsymbol{H}(\m…
Capacity of the Adini element for biharmonic equations
Jun Hu, Xueqin Yang, Shuo Zhang
This paper is devoted to the convergence analysis of the Adini element scheme for the fourth order problem in arbitrary dimension. We prove that, the Adini element scheme is $\math…