A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport

DOI10.1093/imanum/drz060zbMath1460.65138OpenAlexW3011469342WikidataQ126565951 ScholiaQ126565951MaRDI QIDQ4964089

Gabriel N. Gatica, Mario M. Alvarez, Ricardo Ruiz-Baier

Publication date: 24 February 2021

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drz060

zbMATH Keywords

error analysismixed finite elementsfixed-point theorynonlinear transportvorticity-based formulationBrinkman-Darcy coupling

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) 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)

Related Items (4)

A Strongly Mass Conservative Method for the Coupled Brinkman-Darcy Flow and Transport ⋮ Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation ⋮ A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem ⋮ A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport

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