Mixed Element Method for Two-Dimensional Darcy-Forchheimer Model

摘要

A mixed element method is introduced to solve Darcy-Forchheimer equation, in which the velocity and pressure are approximated by mixed element such as Raviart-Thomas, Brezzi-Douglas-Marini element. We establish the existence and uniqueness of the problem. Error estimates are presented based on the monotonicity owned by the Forch-heimer term. An iterative scheme is given for practical computation. The numerical experiments using the lowest order Raviart-Thomas (RT_0) mixed element show that the convergence rates of our method are in agree with the theoretical analysis.