14 citations · 14 across the 8 of their papers we have counts for
8 papers · 1 filter
The coupling of mixed and primal finite element methods for the coupled body-plate problem
Jun Hu, Zhen Liu, Rui Ma
This paper considers the coupled problem of a three-dimensional elastic body and a two-dimensional plate, which are rigidly connected at their interface. The plate consists of a pl…
Optimality of adaptive mixed finite element methods for the Kirchhoff-Love plate bending problem
Jun Hu, Rui Ma, Min Zhang
This paper presents a reliable and efficient residual-based a posteriori error analysis for the symmetric mixed finite element method for…
A nodal basis for the - finite elements on 5D simplex grids
Jun Hu, Shangyou Zhang
We construct a nodal basis for the 5-dimensional finite element space of polynomial degree on simplex grids, where the finite element functions are on the 6 4D-sim…
Lower order mixed elements for the linear elasticity problem in 2D and 3D
Jun Hu, Rui Ma, Yuanxun Sun
In this paper, we construct two lower order mixed elements for the linear elasticity problem in the Hellinger-Reissner formulation, one for the 2D problem and one for the 3D proble…
Mixed Variational Formulation of Coupled Plates
Jun Hu, Zhen Liu, Rui Ma +1
This paper proposes a mixed variational formulation for the problem of two coupled plates with a rigid {junction}. The proposed mixed {formulation} introduces {the union of} stress…
A direct finite element method for elliptic interface problems
Jun Hu, Limin Ma
In this paper, a direct finite element method is proposed for solving interface problems on unfitted meshes. This new method treats the two interface conditions as an $H^{\frac12}(…
Partial relaxation of C^0 vertex continuity of stresses of conforming mixed finite elements for the elasticity problem
Jun Hu, Rui Ma
A conforming triangular mixed element recently proposed by Hu and Zhang for linear elasticity is extended by rearranging the global degrees of freedom. More precisely, adaptive mes…
The Lower Bounds for Eigenvalues of Elliptic Operators --By Nonconforming Finite Element Methods
Jun Hu, Yunqing Huang, Qun Lin
The aim of the paper is to introduce a new systematic method that can produce lower bounds for eigenvalues. The main idea is to use nonconforming finite element methods. The genera…