286 citations · 680 across the 16 of their papers we have counts for
19 papers
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 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…
A lowest order stabilization-free mixed Virtual Element Method
Andrea Borio, Carlo Lovadina, Francesca Marcon +1
We initiate the design and the analysis of stabilization-free Virtual Element Methods for the laplacian problem written in mixed form. A Virtual Element version of the lowest order…
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…
Hybridization of the Virtual Element Method for linear elasticity problems
Franco Dassi, Carlo Lovadina, Michele Visinoni
We extend the hybridization procedure proposed in [Arnold, Brezzi, 1985, ESAIM: M2AN] to the Virtual Element Method for linear elasticity problems based on the Hellinger-Reissner p…
SUPG-stabilized Virtual Elements for diffusion-convection problems: a robustness analysis
L. Beirão da Veiga, F. Dassi, C. Lovadina +1
The objective of this contribution is to develop a convergence analysis for SUPG-stabilized Virtual Element Methods in diffusion-convection problems that is robust also in the conv…