In this paper, we present and analyze a new mixed finite element formulation of a general
family of quasi-static multiple-network poroelasticity (MPET) equations. The MPET equations …

The importance of accuracy verification methods was understood at the very beginning of
the development of numerical analysis. Recent decades have seen a rapid growth of results …

The multiple-network poroelasticity (MPET) equations describe deformation and pressures
in an elastic medium permeated by interacting fluid networks. In this paper, we (i) place …

We develop the a posteriori error analysis of three mixed finite element formulations for
rotation-based equations in elasticity, poroelasticity, and interfacial elasticity-poroelasticity …

In this work, we study the locking-free numerical method for a Barenblatt-Biot poroelastic
model. When solving by the continuous Galerkin mixed finite element method, the model …

The paper is concerned with guaranteed a posteriori error estimates for a class of
evolutionary problems related to poroelastic media governed by the quasi-static linear Biot …

In this work, we introduce an iterative decoupled algorithm designed for addressing the
quasi-static multiple-network poroelasticity problem. This problem pertains to the …

The discretization of fluid-poromechanics systems is typically highly demanding in terms of
computational effort. This is particularly true for models of multiphysics flows in the brain, due …

The paper is concerned with guaranteed and fully computable a posteriori error estimates
for evolutionary problems associated with the poroelastic media governed by the quasi …

Poroelastic systems describe fluid flow through porous medium coupled with deformation of
the porous matrix. In this paper, the deformation is described by linear elasticity, the fluid …