A virtual element method for the two-phase flow of immiscible fluids in porous media

A first-order stabilization-free Virtual Element Method

“…Successively, the extension to the H(div)-conforming vector fields, generalizing Mixed Finite Elements [18], has been introduced in [22] and developed in [4,3,27]. Thanks to the great flexibility of the method, both primal and mixed formulation of VEM have been applied to a large range of applications, such as elastic and inelastic problems [7,1,25,28], simulations in fractured media [8,9,10,15] and in porous media mechanics [19,16,14], just to mention a few of them.…”