3 papers
math.NA2021
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…
math.NA2019
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…
math.NA2019
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…