A mixed virtual element method (mixed-VEM) for a pseudostress-velocity formulation of the
two-dimensional Navier–Stokes equations with Dirichlet boundary conditions is proposed …

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 …

We develop a mixed finite element method for the coupled problem arising in the interaction
between a free fluid governed by the Stokes equations and flow in deformable porous …

This paper deals with the analysis of a new augmented mixed finite element method in terms
of vorticity, velocity, and pressure, for the Brinkman problem with nonstandard boundary …

In this paper we propose and analyze a new augmented mixed finite element method for the
Navier-Stokes problem. Our approach is based on the introduction of a “nonlinear …

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 present and analyze a fully-mixed formulation for the coupled problem
arising in the interaction between a free fluid and a poroelastic medium. The flows in the free …

We propose and analyze an augmented mixed finite element method for the coupling of fluid
flow with porous media flow. The flows are governed by a class of nonlinear Navier–Stokes …

In this article, we introduce and analyze a hybridizable discontinuous Galerkin (HDG)
method for numerically solving the coupling of fluid flow with porous media flow. Flows are …

We introduce and analyze a partially augmented fully mixed formulation and a mixed finite
element method for the coupled problem arising in the interaction between a free fluid and a …