This paper deals with the Darcy-Forchheimer problem with two kinds of boundary conditions. We discretize the system by using the finite element methods and we propose two iterative schemes to solve the discrete problems. The well-posedness and the convergence of the corresponding iterative problems are then proven. Finally, several numerical experiments are performed to validate the proposed numerical schemes.

翻译：本文件涉及达西-福赫海默问题,涉及两种边界条件。我们通过使用有限元素方法将系统分解,我们提出两个迭接办法解决离散问题。然后证明相应的迭接问题具有很好的储存性和趋同性。最后,为了验证拟议的数字方法,进行了若干次数字实验。