关于Darcy方程和Stokes方程耦合问题的非协调稳定化方法

Stabilized Crouzeix-Raviart Element for the Coupled Stokes and Darcy Problem

对于Darcy-Stokes耦合问题,基于非协调的Crouzeix-Raviart元,提出了一种新的稳定化有限元方法.并对该方法导出了最优的误差估计.最后,用数值计算验证了所提出理论的有效性.

A new stabilized finite element method for the coupled Stokes and Daxcy problem was introduced based on the noncomforming Crouzeix-Raviart element. Optimal error estimates for the fluid velocity and pressure were derived. Hnally, a numerical example verifying the theoretical predictions was presented.