论文标题

Darcy-Forchheimer问题的后验错误估计

A posteriori error estimates for Darcy-Forchheimer's problem

论文作者

Semaan, Georges, Sayah, Toni, Triki, Faouzi

论文摘要

这项工作涉及Darcy-Forchheimer问题的A后验错误估计。我们介绍了相应的变分公式,并使用有限元方法将其离散。显示了具有两种类型的可计算误差指标的后验误差估计值。第一个链接到线性化,第二个链接到离散化。最后,进行数值计算以显示误差指标的有效性。

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.

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