44 citations · 68 across the 6 of their papers we have counts for
6 papers
Covariance-Informed Subspace: an Adaptive Gradient-Free Input Dimension Reduction Method for Bayesian Inference
Nadège Polette, Olivier Le Maître, Pierre Sochala +1
This paper addresses the challenge of dimension reduction (DR) in Bayesian inference of high-resolution two-or three-dimensional fields, where a priori parametrizations require a l…
Change of Measure for Bayesian Field Inversion with Hierarchical Hyperparameters Sampling
Nadège Polette, Olivier Le Maître, Pierre Sochala +1
This paper proposes an effective treatment of hyperparameters in the Bayesian inference of a scalar field from indirect observations. Obtaining the joint posterior distribution of…
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 Hybrid High-Order method for nonlinear elasticity
Michele Botti, Daniele Di Pietro, Pierre Sochala
In this work we propose and analyze a novel Hybrid High-Order discretization of a class of (linear and) nonlinear elasticity models in the small deformation regime which are of com…
Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows
Pierre Sochala, Alexandre Ern, Serge Piperno
Robust and accurate schemes are designed to simulate the coupling between subsurface and overland flows. The coupling conditions at the interface enforce the continuity of both the…