Showing math.NAShow all
3 papers · 1 filter
math.NA2024
A Virtual Element method for non-Newtonian fluid flows
P. F. Antonietti, L. Beirao da Veiga, M. Botti +2
In this paper, we design and analyze a Virtual Element discretization for the steady motion of non-Newtonian, incompressible fluids. A specific stabilization, tailored to mimic the…
math.NA2024
A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection
Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile
We analyze a Discontinuous Galerkin method for a problem with linear advection-reaction and -type diffusion, with Sobolev indices . The discretization of the d…
math.NA2023
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…