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Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
Tommaso Sorgente, Fabio Vicini, Stefano Berrone +3
We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated to a discrete problem defined over a polygonal tessellation with the Vi…
Conforming virtual element approximations of the two-dimensional Stokes problem
Gianmarco Manzini, Annamaria Mazzia
The virtual element method (VEM) is a Galerkin approximation method that extends the finite element method to polytopal meshes. In this paper, we present two different conforming v…
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi +1
The Virtual Element Method (VEM) is a very effective framework to design numerical approximations with high global regularity to the solutions of elliptic partial differential equa…
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem
Gianmarco Manzini, Annamaria Mazzia
The Virtual Element Method (VEM) is a Galerkin approximation method that extends the Finite Element Method (FEM) to polytopal meshes. In this paper, we present a conforming formula…
Polyhedral Mesh Quality Indicator for the Virtual Element Method
Tommaso Sorgente, Silvia Biasotti, Gianmarco Manzini +1
We present the design of a mesh quality indicator that can predict the behavior of the Virtual Element Method (VEM) on a given mesh family or finite sequence of polyhedral meshes (…