We consider a non-standard mixed approach for the Stokes problem in which the velocity,
the pressure, and the pseudostress are the main unknowns. Alternatively, the pressure can …

In this paper we introduce and analyze a new mixed finite element method for the two-
dimensional Brinkman model of porous media flow with mixed boundary conditions. We use …

A new mixed variational formulation for the Navier--Stokes equations with constant density
and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and …

In this paper we introduce and analyze new mixed finite element schemes for a class of
nonlinear Stokes models arising in quasi-Newtonian fluids. The methods are based on a …

In this paper we present the a priori and a posteriori error analyses of a non-standard mixed
finite element method for the linear elasticity problem with non-homogeneous Dirichlet …

In this paper we introduce and analyze a mixed virtual element method (mixed-VEM) for a
pseudostress-displacement formulation of the linear elasticity problem with non …

We analyse the solvability of a static coupled system of PDEs describing the diffusion of a
solute into an elastic material, where the process is affected by the stresses exerted in the …

We propose a new augmented dual-mixed method for the Oseen problem based on the
pseudostress–velocity formulation. The stabilized formulation is obtained by adding to the …

Spring-assisted surgery (SAS) can effectively treat scaphocephaly by reshaping crania with
the appropriate spring force. However, it is difficult to accurately estimate spring force without …

In this paper we introduce and analyze new augmented mixed finite element methods
allowing much more flexibility in the choice of the corresponding finite dimensional …