This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …

We provide a systematic way of devising superconvergent mixed and hybridizable
discontinuous Galerkin (HDG) methods for linear elasticity based on weak stress symmetry …

We present two new methods for linear elasticity that simultaneously yield stress and
displacement approximations of optimal accuracy in both the mesh size h and polynomial …

The flexibility of the DPG methodology is exposed by solving the linear elasticity equations
under different variational formulations, including some with non-symmetric functional …

There are different possibilities of choosing balanced pairs of approximation spaces for dual
(flux) and primal (pressure) variables to be used in discrete versions of the mixed finite …

We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous
Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1],[2]. In …

In this paper we provide guidelines for the construction of new high order conforming finite
element exact sequences of subspaces in H 1 (Ω), H (curl, Ω), H (div, Ω), and L 2 (Ω). They …

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 𝑯⁢(div, Ω; 𝕊)-P k and 𝑳 …

The problem solutions of stability of spatial rod systems by finite elements method in
stresses were considered. The proposed method is based on a combination of functional …

We consider two-scale stress mixed finite element elasticity models using H (div)-conforming
tensor approximations for the stress variable, whilst displacement and rotation fields are …