The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal order approximation in space without any further stabilization is used for the displacement and pore pressure variable. Optimal order $L^\infty(L^2)$ error estimates are proved and numerically confirmed.

翻译：本文研究了一类连续时空有限元方法对动态孔隙弹性问题（模拟可变形多孔介质中的流动）的数值逼近。在空间离散中，对位移和孔隙压力变量采用无额外稳定化的等阶逼近，并证明了$L^\infty(L^2)$范数下的最优阶误差估计，且通过数值实验验证了该结果。