In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …

We consider a non-linear extension of Biot's model for poromechanics, wherein both the
fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study …

We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems
describing mulitple-network flow and deformation in a poroelastic medium, also referred to …

We consider L-scheme and Newton-based solvers for Biot model under large deformation.
The mechanical deformation follows the Saint Venant-Kirchoff constitutive law. Furthermore …

We consider L-scheme and Newton-based solvers for Biot model under large deformation.
The mechanical deformation follows the Saint Venant-Kirchoff constitutive law. Furthermore …

In this chapter, we present fv-unsat, a multipoint finite-volume–based solver for unsaturated
flow in deformable and nondeformable porous media. The latter is described using the …

In this work we propose convergent iterative solvers based on the L-scheme and Newton's
method for a nonlinear Biot model. More precisely, in the mechanics equation one Lamé …

In this thesis we study the optimization of iterative schemes as both linearization methods,
and as splitting methods for solving non-linear and coupled partial differential equations …

Multiphase flow through porous media plays an important role in many practical
applications, from groundwater modelling, oil and gas recovery to CO2 sequestration. In the …

[EN] In this work, the efficient approximation of a nonlinear cardiac poromechanics model is
investigated. Quasi-Newton solvers based on iterative two-way and three-way decoupling …