The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity.

In this work, a locking-free nonconforming virtual element method for the three-field Biot's model (the displacements, Darcy velocity and pore pressure) is developed and analyzed. We solve the model as: nonconforming VEM for the displacements, RT-like VEM for Darcy velocity and pressure. We show the well-posedness and the optimal error estimates of the discrete schemes. The numerical experiments support the convergence analysis of our method and illustrate it can be used to avoid Poisson locking and nonphysical pressure oscillations. [ABSTRACT FROM AUTHOR]