This work deals with the a posteriori error estimates for the Darcy-Forchheimer problem. We introduce the corresponding variational formulation and discretize it by using the finite-element method. A posteriori error estimate with two types of computable error indicators is showed. The first one is linked to the linearization and the second one to the discretization. Finally, numerical computations are performed to show the effectiveness of the error indicators.

翻译：这项工作涉及达西- Forchheimer 问题的事后误差估计。 我们引入了相应的变异配方, 并使用有限元素方法将其分离。 显示的是带有两种可计算误差指标的事后误差估计。 第一项与线性化相关, 第二项与离异相关。 最后, 进行数字计算以显示误差指标的有效性 。