A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity
DOI10.1016/j.cam.2024.116090zbMATH Open1542.65154MaRDI QIDQ6582043
Sergio Caucao, Juan-Pablo Ortega, Gabriel N. Gatica
Publication date: 1 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
fixed point theorymixed finite element methods\textit{a priori} error analysisconvective Brinkman-Forchheimer equations
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)
Cites Work
- Solvability of the Brinkman-Forchheimer-Darcy equation
- Numerical discretization of a Darcy-Forchheimer model
- Numerical analysis of a dual-mixed problem in non-standard Banach spaces
- Theory and practice of finite elements.
- Mixed element method for two-dimensional Darcy-Forchheimer model
- Approximation of the incompressible convective Brinkman-Forchheimer equations
- Further developments on boundary-field equation methods for nonlinear transmission problems
- 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
- A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations
- On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces
- Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions
- A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations
- Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations
- A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem
- A Simple Introduction to the Mixed Finite Element Method
- A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
- A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- Finite Element Approximation of the p-Laplacian
- Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- New development in freefem++
- A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
- An Lpspaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations
- On the well-posedness of the Darcy–Brinkman–Forchheimer equations for coupled porous media-clear fluid flow
- Continuous dependence for the convective Brinkman–Forchheimer equations
- An augmented mixed FEM for the convective Brinkman-Forchheimer problem: \textit{a priori} and \textit{a posteriori} error analysis
- New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations
- Parameter‐robust mixed element method for poroelasticity with Darcy‐Forchheimer flow
- A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem
- Analysis of a momentum conservative <scp>mixed‐FEM</scp> for the stationary <scp>Navier–Stokes</scp> problem
- A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium
- A five-field mixed formulation for stationary magnetohydrodynamic flows in porous media
- A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem
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