40 citations · 118 across the 17 of their papers we have counts for
20 papers
The High Order Virtual Element Method On Approximate Domains: Neumann Boundary Conditions
Silvia Bertoluzza, Monica Montardini, Daniele Prada
In the framework of the virtual element method with shifted boundary type treatment of curved geometries, we propose a novel approach to the treatment of Neumann boundary condition…
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…
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…
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…
Reduced basis stabilization and post-processing for the virtual element method
Fabio Credali, Silvia Bertoluzza, Daniele Prada
We present a reduced basis method for cheaply constructing (possibly rough) approximations to the nodal basis functions of the virtual element space, and propose to use such approx…
The virtual element method on polygonal pixel-based tessellations
Silvia Bertoluzza, Monica Montardini, Micol Pennacchio +1
We analyze and validate the virtual element method combined with a boundary correction similar to the one in [1,2], to solve problems on two dimensional domains with curved boundar…