A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem
DOI10.1007/s10092-023-00544-2zbMath1527.65125MaRDI QIDQ6081930
Gabriel N. Gatica, Sergio Caucao, Luis F. Gatica
Publication date: 29 November 2023
Published in: Calcolo (Search for Journal in Brave)
fixed point theorymixed finite elements\textit{a priori} error analysispseudostress-velocity formulationconvective Brinkman-Forchheimer equationsperturbed saddle-point
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Forced convection (76R05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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