25 citations · 88 across the 23 of their papers we have counts for
26 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…
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…
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…
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…
Fully-Mixed Virtual Element Method for the Biot Problem
Michele Botti, Daniele Prada, Anna Scotti +1
Poroelasticity describes the interaction of deformation and fluid flow in saturated porous media. A fully-mixed formulation of Biot's poroelasticity problem has the advantage of pr…
Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow
Michele Botti, Ivan Fumagalli, Ilario Mazzieri
We focus on the numerical analysis of a polygonal discontinuous Galerkin scheme for the simulation of the exchange of fluid between a deformable saturated poroelastic structure and…
A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem
Paola F. Antonietti, Michele Botti, Alessandra Cancrini +1
This work aims to construct and analyze a discontinuous Galerkin method on polytopal grids (PolydG) to solve the pseudo-stress formulation of the unsteady Stokes problem. The pseud…
Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure
Lorenzo Botti, Michele Botti, Daniele Antonio Di Pietro +1
In this work we study the stability, convergence, and pressure-robustness of discretization methods for incompressible flows with hybrid velocity and pressure. Specifically, focusi…
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…
lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems
Paola F. Antonietti, Stefano Bonetti, Michele Botti +3
We present the library lymph for the finite element numerical discretization of coupled multi-physics problems. lymph is a Matlab library for the discretization of partial differen…
Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem
Stefano Bonetti, Michele Botti, Paola F. Antonietti
We present and analyze a discontinuous Galerkin method for the numerical modeling of the non-linear fully-coupled thermo-hydro-mechanic problem. We propose a high-order symmetric w…
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…
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
Stefano Bonetti, Michele Botti, Ilario Mazzieri +1
We present and analyze a high-order discontinuous Galerkin method for the space discretization of the wave propagation model in thermo-poroelastic media. The proposed scheme suppor…
A serendipity fully discrete div-div complex on polygonal meshes
Michele Botti, Daniele A. Di Pietro, Marwa Salah
In this work we address the reduction of face degrees of freedom (DOFs) for discrete elasticity complexes. Specifically, using serendipity techniques, we develop a reduced version…
Uncertainty quantification for mineral precipitation and dissolution in fractured porous media
Michele Botti, Alessio Fumagalli, Anna Scotti
In this work, we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive transport model in fractured por…
Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem
Paola F. Antonietti, Stefano Bonetti, Michele Botti
We present and analyze a discontinuous Galerkin method for the numerical modelling of the non-linear fully-coupled thermo-poroelastic problem. For the spatial discretization, we de…
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
In this work we review discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heteroge…
A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro +1
In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small ve…
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods
Lorenzo Botti, Michele Botti, Daniele A. Di Pietro
In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the…
A high-order discretization of nonlinear poroelasticity
Michele Botti, Daniele A. Di Pietro, Pierre Sochala
In this work we construct and analyze a nonconforming high-order discretization method for the quasi-static single-phase nonlinear poroelasticity problem describing Darcean flow in…
Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods
Michele Botti, Daniele A. Di Pietro, Olivier Le Maître +1
In this work, we consider the Biot problem with uncertain poroelastic coefficients. The uncertainty is modelled using a finite set of parameters with prescribed probability distrib…
A low-order nonconforming method for linear elasticity on general meshes
Michele Botti, Daniele A. Di Pietro, Alessandra Guglielmana
In this work we construct a low-order nonconforming approximation method for linear elasticity problems supporting general meshes and valid in two and three space dimensions. The m…
Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity
Michele Botti, Rita Riedlbeck
We consider hyperelastic problems and their numerical solution using a conforming finite element discretization and iterative linearization algorithms. For these problems, we prese…