A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem

DOI10.1007/s10092-021-00451-4zbMath1481.65219OpenAlexW4200350641MaRDI QIDQ2070325

Alejandro A. Hopper, Gonzalo A. Benavides, Sergio Caucao, Gabriel N. Gatica

Publication date: 24 January 2022

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-021-00451-4

zbMATH Keywords

fixed point theorymixed finite element methodsStokes equationssedimentation-consolidation processa priori error analysisnonlinear transport problem

Mathematics Subject Classification ID

Diffusion (76R50) 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)

Related Items (8)

A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations ⋮ Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation ⋮ New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations ⋮ New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems ⋮ A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem ⋮ Mixed-primal methods for natural convection driven phase change with Navier-Stokes-Brinkman equations ⋮ A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem ⋮ A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport

Uses Software

• UMFPACK
• FreeFem++

Cites Work

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• Dual-mixed finite element methods for the stationary Boussinesq problem
• A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system
• A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
• Numerical analysis of a dual-mixed problem in non-standard Banach spaces
• Theory and practice of finite elements.
• A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem
• An augmented fully-mixed finite element method for a coupled flow-transport problem
• A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations
• A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem
• Numerical solution of a multidimensional sedimentation problem using finite volume-element methods
• A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems
• A mixed-primal finite element approximation of a sedimentation–consolidation system
• A Simple Introduction to the Mixed Finite Element Method
• A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes
• A posteriorierror analysis for a viscous flow-transport problem
• A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
• An augmented mixed-primal finite element method for a coupled flow-transport problem
• Mixed and Hybrid Finite Element Methods
• Existence et approximation de points selles pour certains problèmes non linéaires
• New development in freefem++
• A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport
• A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
• A Banach space mixed formulation for the unsteady Brinkman–Forchheimer equations
• Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
• Dual-mixed finite element methods for the Navier-Stokes equations
• Algorithm 832
• Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems
• Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions
• Analysis of a momentum conservative <scp>mixed‐FEM</scp> for the stationary <scp>Navier–Stokes</scp> problem

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