8 papers
Polytopal Discontinuous Galerkin Discretizations of Coupled Non-Newtonian Stokes-Darcy Systems
Paola F. Antonietti, Michele Botti, Nicola Parolini +2
We propose and analyze a polytopal discontinuous Galerkin method for the numerical approximation of a coupled non-Newtonian Stokes-Darcy system modeling the interaction between a n…
A Virtual Element Method for elliptic problems on trimmed background meshes
L. Beirão da Veiga, C. Canuto, R. H. Nochetto +2
We consider a two-dimensional piecewise domain that cuts through a quasi-uniform fixed polygonal background mesh, for instance made of quadrilaterals. A simple procedure base…
A Volume of Fluid Immersed Boundary Method for Industrial Polymer Mixing
Emilia Capuano, Daniele Cerroni, Holger Marschall +3
This work develops advanced numerical methods for free-surface simulations of polymer mixing processes, integrating a Volume of Fluid (VOF) interface-capturing approach with a non-…
A Multilevel Monte Carlo Virtual Element Method for Uncertainty Quantification of Elliptic Partial Differential Equations
Paola F. Antonietti, Francesca Bonizzoni, Ilaria Perugia +1
We introduce a Monte Carlo Virtual Element estimator based on Virtual Element discretizations for stochastic elliptic partial differential equations with random diffusion coefficie…
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…
Deep Learning Accelerated Algebraic Multigrid Methods for Polytopal Discretizations of Second-Order Differential Problems
Paola F. Antonietti, Matteo Caldana, Lorenzo Gentile +1
Algebraic Multigrid (AMG) methods are state-of-the-art algebraic solvers for partial differential equations. Still, their efficiency depends heavily on the choice of suitable param…