4 papers
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…
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…