8 citations · 18 across the 11 of their papers we have counts for
11 papers
A new mixed finite element for the linear elasticity problem in 3D
Jun Hu, Rui Ma, Yuanxun Sun
This paper constructs the first mixed finite element for the linear elasticity problem in 3D using polynomials for the stress and discontinuous polynomials for the disp…
New conforming finite element divdiv complexes in three dimensions
Jun Hu, Yizhou Liang, Rui Ma +1
In this paper, the first family of conforming finite element divdiv complexes on cuboid grids in three dimensions is constructed. Besides, a new family of conforming finite element…
Conforming finite element DIVDIV complexes and the application for the linearized Einstein-Bianchi system
Jun Hu, Yizhou Liang, Rui Ma
This paper presents the first family of conforming finite element divdiv complexes on tetrahedral grids in three dimensions. In these complexes, finite element spaces of $H(\text{d…
A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids
Jun Hu, Rui Ma, Min Zhang
This paper introduces a new family of mixed finite elements for solving a mixed formulation of the biharmonic equations in two and three dimensions. The symmetric stress $\bmσ=-\na…
An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem
Fleurianne Bertrand, Daniele Boffi, Rui Ma
In this paper we study the approximation of eigenvalues arising from the mixed Hellinger--Reissner elasticity problem by using the simple finite element using partial relaxation of…
Optimal Superconvergence Analysis for the Crouzeix-Raviart and the Morley elements
Jun Hu, Limin Ma, Rui Ma
In this paper, an improved superconvergence analysis is presented for both the Crouzeix-Raviart element and the Morley element. The main idea of the analysis is to employ a discret…
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…
Conforming mixed triangular prism and nonconforming mixed tetrahedral elements for the linear elasticity problem
Jun Hu, Rui Ma
We propose two families of mixed finite elements for solving the classical Hellinger-Reissner mixed problem of the linear elasticity equations in three dimensions. First, a family…
Superconvergence of both the Crouzeix-Raviart and Morley elements
Jun Hu, Rui Ma
In this paper, a new method is proposed to prove the superconvergence of both the Crouzeix-Raviart and Morley elements. The main idea is to fully employ equivalences with the first…
Guaranteed Lower and upper bounds for eigenvalues of second order elliptic operators in any dimension
Jun Hu, Rui Ma
In this paper, a new method is proposed to produce guaranteed lower bounds for eigenvalues of general second order elliptic operators in any dimension. Unlike most methods in the l…
The enriched Crouzeix-Raviart elements are equivalent to the Raviart-Thomas elements
Jun Hu, Rui Ma
For both the Poisson model problem and the Stokes problem in any dimension, this paper proves that the enriched Crouzeix-Raviart elements are actually identical to the first order…