Linear solvers for reservoir simulation applications are the objective of this review.
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …

In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in
porous media are examined for the first time. In the first part, a modelling framework is …

In this work, we propose a novel block preconditioner, labeled Explicit Decoupling Factor
Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to …

In this paper, we present a pressure-robust enriched Galerkin (EG) scheme for solving the
Stokes equations, which is an enhanced version of the EG scheme for the Stokes problem …

We present a new enriched Galerkin (EG) scheme for the Stokes equations based on
piecewise linear elements for the velocity unknowns and piecewise constant elements for …

We consider a mixed hybrid finite element formulation for coupled poromechanics. A
stabilization strategy based on a macro-element approach is advanced to eliminate the …

In this work, we consider a hybrid mixed finite element method for Biot's model. The hybrid
P1-RT0-P0 discretization of the displacement-pressure-Darcy's velocity system of Biot's …

In this work, we present an original block preconditioner to improve the convergence of
Krylov solvers for the simulation of two‐phase flow in porous media. In our modeling …

We study and compare five different combinations of finite element spaces for approximating
the coupled flow and solid deformation system, so-called Biot's equations. The permeability …

Poromechanics problems in geotechnical and geological contexts often involve complex
formations with numerous boundaries and material interfaces, which significantly complicate …