5 papers
3D Virtual Element Method for Advection-Diffusion-Reaction Problems with Variable Coefficients on Locally Quasi-Uniform Polytopes
M. Trezzi
In this paper, we propose and analyze a Continuous Interior Penalty (CIP) stabilized Virtual Element Method (VEM) for three-dimensional advection-diffusion-reaction equations on ge…
The 3D Nonconforming Virtual Element Method with enhanced spaces: numerical investigation and implementation guide
Franco Dassi, Manuel Trezzi
In this paper, we describe the 3D Nonconforming Virtual Element Method, where the local spaces are enhanced in order to build an projection of virtual functions onto polynomi…
Conforming/Non-conforming Virtual Elements and application to elasticity problems in curved three-dimensional domains
L. Beirão da Veiga, F. Dassi, A. Russo +1
The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel…
A robust finite element method for linearized magnetohydrodynamics on general domains
L. Beirao da Veiga, C. Lovadina, M. Trezzi
We propose a new finite element method for linearized Magnetohydrodynamics. The main novelty is that the proposed scheme is able to handle also non-convex domains and less regular…
A three-level CIP-VEM approach for the Oseen equation
Manuel Trezzi
We study a pressure-robust virtual element method for the Oseen problem. In the advection-dominated case, the method is stabilized with a three level jump of the convective term. T…