8 papers
Discontinuous Galerkin discretization of coupled poroelasticity-elasticity problems
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
This work is concerned with the analysis of a space-time finite element discontinuous Galerkin method on polytopal meshes (XT-PolydG) for the numerical discretization of wave propa…
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…
Splitting strategies for the fully-coupled nonlinear thermo-hydro-mechanical problem
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We propose novel semi-decoupled and fully-decoupled iterative algorithms for efficiently solving the fully-coupled nonlinear four-field thermo-poroelastic model discretized in spac…
Conforming and discontinuous discretizations of non-isothermal Darcy-Forchheimer flows
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We present and analyze in a unified setting two schemes for the numerical discretization of a Darcy-Forchheimer fluid flow model coupled with an advection-diffusion equation modeli…
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 robust fully-mixed finite element method with skew-symmetry penalization for low-frequency poroelasticity
Stefano Bonetti, Michele Botti, Patrick Vega
In this work, we present and analyze a fully-mixed finite element scheme for the dynamic poroelasticity problem in the low-frequency regime. We write the problem as a four-field, f…