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20212026
most citedSUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation

5 citations · 8 across the 6 of their papers we have counts for

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math.NA2026

Robust H(curl)-based finite element methods for the incompressible MHD system

Lourenço Beirão da Veiga, Sergio Gómez, Ilaria Perugia +1

We propose and analyze a class of finite element methods for the time-dependent incompressible magnetohydrodynamics system based on -conforming discretizations fo…

math.NA2026

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…

math.NA2025

Fully and semi-implicit robust space-time DG methods for the incompressible Navier-Stokes equations

L. Beirão da Veiga, F. Dassi, S. Gómez

We carry out a stability and convergence analysis of a fully discrete scheme for the time-dependent Navier-Stokes equations resulting from combining an -conform…

math.NA2025

A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations

Lourenço Beirão da Veiga, Daniele A. Di Pietro, Jérôme Droniou +2

In this paper we propose and analyze a new Finite Element method for the solution of the two- and three-dimensional incompressible Navier--Stokes equations based on a hybrid discre…

math.NA2024

SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection-diffusion equation

Lourenço Beirão Da Veiga, Franco Dassi, Sergio Gómez

We carry out a stability and convergence analysis for the fully discrete scheme obtained by combining a finite or virtual element spatial discretization with the upwind-discontinuo…

math.NA2022

Interpolation and stability estimates for edge and face virtual elements of general order

Lourenço Beirão da Veiga, Lorenzo Mascotto, Jian Meng

We develop interpolation error estimates for general order standard and serendipity edge and face virtual elements in two and three dimensions. Contextually, we investigate the sta…