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 …

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 analyze fully-mixed finite element methods for the coupling of fluid flow with
porous media flow in 2D. Flows are governed by the Stokes and Darcy equations …

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 paper we introduce and analyze two new fully-mixed variational formulations for the
coupling of fluid flow with porous media flow. Flows are governed by the Stokes and Darcy …

This paper deals with the analysis of new mixed finite element methods for the Brinkman
equations formulated in terms of velocity, vorticity and pressure. Employing the Babuška …

This paper proposes and analyzes a mixed variational formulation for the Navier-Stokes
equations with variable viscosity that depends nonlinearly on the velocity gradient …

The escalating need for reliability analysis (RA) and reliability-based design optimization
(RBDO) within engineering challenges has prompted the advancement of saddlepoint …

In this paper we introduce and analyze a model of sedimentation based on a solid velocity
formulation. A particular feature of the governing equations is given by the fact that the …