González Taboada, MaríaHecht, FrédéricVarela Rodríguez, Hiram2026-09-212026-09-212027M. González, F. Hecht, and H. Varela, "A Posteriori Error Analysis for a Dual-mixed FEM for the Darcy-Forchheimer Problem", Journal of Computational and Applied Mathematics, Vol. 490, 117963, 2027, https://doi.org/10.1016/j.cam.2026.1179631879-1778https://hdl.handle.net/2183/49326Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG [Abstract]: We consider a dual-mixed variational formulation of the Darcy-Forchheimer model. Assuming that the permeability is a symmetric and positive-definite tensor, we prove the problem is well-posed. For the discretization, we approximate the velocity-pressure pair by Raviart-Thomas elements of the lowest order and piecewise constants, respectively. The corresponding discrete problem is well-posed, and we derive a priori error estimates. We also develop an a posteriori error analysis of the residual type and show the reliability of the new a posteriori error indicator. Finally, we provide some numerical experiments that support the theoretical results and suggest the indicator’s eventual efficiency.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Porous media flowDarcy-ForchheimerFinite element methodA Posteriori error estimatesjournal articleopen access10.1016/j.cam.2026.117963