39 citations · 104 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
The mixed virtual element method for grids with curved interfaces
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In many applications the accurate representation of the computational domain is a key factor to obtain reliable and effective numerical solutions. Curved interfaces, which might be…
The Mixed Virtual Element Method on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-dimensional computational grids with curvilinear edge elements. The approximation by means of…
Equilibrium analysis of an immersed rigid leaflet by the virtual element method
L. Beirão da Veiga, C. Canuto, R. H. Nochetto +1
We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a r…
Sharper error estimates for Virtual Elements and a bubble-enriched version
L. Beirao da Veiga, G. Vacca
In the present contribution we develop a sharper error analysis for the Virtual Element Method, applied to a model elliptic problem, that separates the element boundary and element…