A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport

DOI10.1007/S10092-022-00493-2zbMath1502.65195OpenAlexW4309374007MaRDI QIDQ2107282

Juan C. Rojas, Eligio Colmenares, Gabriel N. Gatica

Publication date: 1 December 2022

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-022-00493-2

zbMATH Keywords

fixed point theoryfinite element methodsa priori error analysisBrinkman equationsnonlinear transport problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Fixed-point theorems (47H10) 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) Free convection (76R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation ⋮ New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems

Uses Software

• FreeFem++

Cites Work

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