We present an embedded-hybridizable discontinuous Galerkin finite element method for the total pressure formulation of the quasi-static poroelasticity model. Although the displacement and the Darcy velocity are approximated by discontinuous piece-wise polynomials, $H(\text{div})$-conformity of these unknowns is enforced by Lagrange multipliers. The semi-discrete problem is shown to be stable and the fully discrete problem is shown to be well-posed. Additionally, space-time a priori error estimates are derived, and confirmed by numerical examples, that show that the proposed discretization is free of volumetric locking.

翻译：我们为准静态孔径弹性模型的总压力配制提出了一种嵌入式的、可垂直不连续的加列尔金限制元素法。虽然离位和达西速度被不连续的片段多数值相近,但用Lagrange 乘数来强制使用美元(h) (text{div})$(美元)与这些未知物的兼容性。半分解问题被证明是稳定的,完全分解的问题被证明是很好的。此外,一个先验误差估计是用数字例子推算的,并得到了证实,这表明提议的离位是无体锁的。