3 citations · 3 across the 4 of their papers we have counts for
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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…
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 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…
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…
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…