4 papers
A Mixed Virtual Element Method for the p-Laplace equation
Kirubell B. Haile, Giuseppe Vacca
We introduce and analyze a mixed Virtual Element Method for the -Laplace equation in a non-Hilbertian setting, covering the full range . The discrete framewor…
Divergence-free and mass-conservative virtual element methods for the Navier-Stokes-Cahn-Hilliard system
Alberth Silgado, Giuseppe Vacca
In this work, we design and analyze semi/fully-discrete virtual element approximations for the time-dependent Navier--Stokes-Cahn--Hilliard equations, modeling the dynamics of two-…
Virtual Element methods for non-Newtonian shear-thickening fluid flow problems
Paola F. Antonietti, Lourenço Beirão da Veiga, Michele Botti +3
In this work, we present a comprehensive theoretical analysis for Virtual Element discretizations of incompressible non-Newtonian flows governed by the Carreau-Yasuda constitutive…
Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
Michele Botti, Lorenzo Mascotto, Giuseppe Vacca +1
We prove stability and interpolation estimates for Hellinger-Reissner virtual elements; the constants appearing in such estimates only depend on the aspect ratio of the polytope un…