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：研究了利用一族连续时空有限元方法对动态多孔弹性问题（模拟可变形多孔介质中的流动）进行数值逼近。在空间上采用未添加额外稳定化的等阶逼近处理位移和孔隙压力变量，证明了最优阶$L^\infty(L^2)$误差估计，并通过数值实验加以验证。