scholarly journals On the Adaptive Numerical Solution to the Darcy–Forchheimer Model

2021 ◽  
Vol 7 (1) ◽  
pp. 36
Author(s):  
María González ◽  
Hiram Varela

We considered a primal-mixed method for the Darcy–Forchheimer boundary value problem. This model arises in fluid mechanics through porous media at high velocities. We developed an a posteriori error analysis of residual type and derived a simple a posteriori error indicator. We proved that this indicator is reliable and locally efficient. We show a numerical experiment that confirms the theoretical results.

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