The main purpose of this monograph is to provide a simple and accessible introduction to
the mixed finite element method as a fundamental tool to numerically solve a wide class of …

In this paper we introduce and analyze a virtual element method (VEM) for a mixed
variational formulation of the Stokes problem in which the pseudostress and the velocity are …

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 …

Necessary and sufficient conditions for existence and uniqueness of solutions are
developed for twofold saddle point problems which arise in mixed formulations of problems …

In this paper, we propose and analyze a new momentum conservative mixed finite element
method for the Navier–Stokes problem posed in nonstandard Banach spaces. Our approach …

In this work we introduce and analyze a mixed virtual element method for the two-
dimensional nonlinear Brinkman model of porous media flow with non-homogeneous …

We develop a one-parameter family of hp-version discontinuous Galerkin finite element
methods, parameterised by θ∈[− 1, 1], for the numerical solution of quasilinear elliptic …

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 a virtual element method (VEM) for an augmented
mixed variational formulation of a class of nonlinear Stokes models arising in quasi …