A posteriori error analysis of a mixed finite element method for the coupled Brinkman-Forchheimer and double-diffusion equations

DOI10.1007/s10915-022-02010-7zbMath1503.65288OpenAlexW4298144059MaRDI QIDQ2103419

Paulo Zúñiga, Ricardo Oyarzúa, Sergio Caucao, Gabriel N. Gatica

Publication date: 13 December 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-02010-7

zbMATH Keywords

mixed finite element methodsa posteriori error analysisBrinkman-Forchheimer equationsstress-velocity formulationdouble-diffusion equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Forced convection (76R05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (2)

An augmented mixed FEM for the convective Brinkman-Forchheimer problem: \textit{a priori} and \textit{a posteriori} error analysis ⋮ A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium

Uses Software

• FEniCS

Cites Work

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