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math.NA2025
A Virtual Element Method on polyhedra with curved faces
Daniele Prada, Franco Brezzi, L. Donatella Marini
In this paper we construct conforming Virtual Element approximations on domains with curved boundary and/or internal curved interfaces, both in two and three dimensions. Our approa…
math.NA2025
Fully-Mixed Virtual Element Method for the Biot Problem
Michele Botti, Daniele Prada, Anna Scotti +1
Poroelasticity describes the interaction of deformation and fluid flow in saturated porous media. A fully-mixed formulation of Biot's poroelasticity problem has the advantage of pr…
math.NA2025
The MINI mixed virtual element for the Stokes equation
Silvia Bertoluzza, Fabio Credali, Daniele Prada
We present and discuss a generalization of the popular MINI mixed finite element for the 2D Stokes equation by means of conforming virtual elements on polygonal meshes. We prove op…