A virtual element discretisation for the numerical approximation of the three-field formulation of linear poroelasticity introduced in R. Oyarzúa and R. Ruiz-Baier, (SIAM J. Numer. Anal. 54 2951–2973, 2016) is proposed. The treatment is extended to include also the transient case. Appropriate poroelasticity projector operators are introduced and they assist in deriving energy bounds for the time-dependent discrete problem. Under standard assumptions on the computational domain, optimal a priori error estimates are established. These estimates are valid independently of the values assumed by the dilation modulus and the specific storage coefficient, implying that the formulation is locking-free. Furthermore, the accuracy of the method is verified numerically through a set of computational tests.

线性孔隙弹性的三场制剂的数值近似虚拟元件的离散在R.Oyarzúa和R.鲁伊斯-拜尔，引入（SIAM J. NUMER。元素分析 54 2951至2973年，2016）提出。治疗范围扩大到还包括暂时性病例。引入了适当的多孔弹性投影仪操作员，他们可以帮助推导随时间变化的离散问题的能量范围。在计算域的标准假设下，建立最佳先验误差估计。这些估计是有效的，与由膨胀模量和特定储能系数假设的值无关，这表明该配方是无锁的。此外，该方法的准确性通过一组计算测试得到了数值验证。