In this work we consider the numerical solution of incompressible flows on two‐dimensional
manifolds. Whereas the compatibility demands of the velocity and the pressure spaces are …

We consider new semi‐hybrid‐mixed finite element formulations for Stokes–Brinkman
problems. Using H (div) H\left (div\right)‐conforming approximate velocity fields, the …

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 …

Exact finite element de Rham subcomplexes relate conforming subspaces in H 1 (Ω), H
(curl; Ω), H (div; Ω), and L 2 (Ω) in a simple way by means of differential operators (gradient …

In this work, we study the application of a post-processing strategy to recover the stress field
in the linear elasticity problem, with a particular interest in the limit of near incompressibility …

The multiscale hybrid-mixed (MHM) method is applied to the numerical approximation of two-
dimensional matrix fluid flow in porous media with fractures. The two-dimensional fluid flow …

The purpose of the present paper is to analyse two new different possibilities of choosing
balanced pairs of approximation spaces for dual (flux) and primal (potential) variables, one …

Two stable approximation space configurations are treated for the mixed finite element
method for elliptic problems based on curved meshes. Their choices are guided by the …

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 …

The classical dual mixed finite element method for flow simulations is based on H (div, Ω)
conforming approximation spaces for the flux, which guarantees continuous normal …