BIRS Workshop Lecture Videos
Locking-free, three-field formulations for coupled elasticity-poroelasticity Ruiz-Baier, Ricardo
We present stable and convergent mixed finite element methods for the discretisation of poroelasticity and elasticity/poroelasticity coupled equations in a new formulation, where the volumetric contributions to the total stress are merged into an additional unknown. The resulting saddle point formulations can be analysed by means of a Fredholm alternative, after realising that they are compact perturbations of Stokes-like invertible systems. Galerkin schemes are then proposed, and given that specific finite dimensional spaces are chosen adequately, the methods remain stable and optimally convergent in the incompressible limit.
Item Citations and Data
Attribution-NonCommercial-NoDerivatives 4.0 International