From the 1 of 9 linked papers with an AI index.
9 papers
A Reynolds-semi-robust H(div)-conforming method for unsteady incompressible power-law flows
Lourenço Beirão da Veiga, Daniele A. Di Pietro, Kirubell B. Haile
The paper develops and analyzes an H(div)-conforming discontinuous Galerkin method with upwind stabilization for unsteady incompressible power‑law (non‑Newtonian) flows, providing…
Conforming/Non-conforming Virtual Elements and application to elasticity problems in curved three-dimensional domains
L. Beirão da Veiga, F. Dassi, A. Russo +1
The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel…
Key challenges and bridges among convergence analysis techniques for polytopal methods
Lourenço Beirão da Veiga, Daniele Antonio Di Pietro, Jérôme Droniou
Polytopal methods provide a flexible framework for the numerical approximation of partial differential equations on general meshes. Their convergence analysis raises specific chall…
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…
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…
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…