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Residual-Type a Posteriori Error Estimates for the Darcy-Forchheimer Problem

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URI: https://hdl.handle.net/2183/47778
DOI: 10.1016/j.camwa.2026.01.040

Publication date

2026-05-01

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M. González Taboada, and H. Varela, "Residual-Type a Posteriori Error Estimates for the Darcy-Forchheimer Problem", Computers & Mathematics with Applications, Vol. 209, 1 May 2026, pp. 28-43, https://doi.org/10.1016/j.camwa.2026.01.040

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Abstract

[Abstract]: We consider a primal-mixed finite element method proposed for the Darcy-Forchheimer model in [1]. We derive a new a posteriori error estimate and prove its reliability. We also provide some numerical experiments that show its performance in practice.

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The code used to generate the findings of this study is openly available in “GitHub” at https://doi.org/10.5281/zenodo.18285149.

Keywords

Darcy-Forchheimer Porous media Mixed finite element A posteriori error estimates

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https://doi.org/10.1016/j.camwa.2026.01.040

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Attribution-NonCommercial-NoDerivatives 4.0 International

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