activity
20232026
most citedCIP-stabilized Virtual Elements for diffusion-convection-reaction problems

2 citations · 2 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA2026

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…

math.NA2026

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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

A Nonconforming Virtual Element Method for Advection-Diffusion-Reaction Problems with CIP Stabilization

Carlo Lovadina, Ilaria Perugia, Manuel Trezzi

We study a nonconforming virtual element method (VEM) for advection-diffusion-reaction problems with continuous interior penalty (CIP) stabilization. The design of the method is ba…

math.NA2023

When rational functions meet virtual elements: The lightning Virtual Element Method

M. L. Trezzi, U. Zerbinati

We propose a lightning Virtual Element Method that eliminates the stabilisation term by actually computing the virtual component of the local VEM basis functions using a lightning…

math.NA2023★ 2 cited

CIP-stabilized Virtual Elements for diffusion-convection-reaction problems

L. Beirao da Veiga, C. Lovadina, M. Trezzi

The Virtual Element Method for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous…