25 citations · 88 across the 23 of their papers we have counts for
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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…