On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity

We propose and analyze two locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity. One is a high-order scheme, the other low-order scheme. For time discretization, we use backward Euler The proposed are well-posed, optimal error estimates of all unknowns obtained fully discrete solutions. generic constants uniformly bounded as Lamé coefficient ? tends to infinity, constrained specific storage arbitrarily small. Therefore free both Poisson locking pressure oscillations. Numerical results illustrate good performance confirm our theoretical predictions.