On the Adaptive Numerical Solution to the Darcy–Forchheimer Model †
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On the Adaptive Numerical Solution to the Darcy–Forchheimer Model †Date
2021Citation
González, M.; Varela, H. On the Adaptive Numerical Solution to the Darcy–Forchheimer Model. Eng. Proc. 2021, 7, 36. https://doi.org/10.3390/engproc2021007036
Abstract
[Abstract] 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.
Keywords
Darcy–Forchheimer
Mixed finite element
A posteriori error estimates
Mixed finite element
A posteriori error estimates
Description
Presented at the 4th XoveTIC Conference, A Coruña, Spain, 7–8 October 2021.
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Atribución 3.0 España
