A fully-mixed finite element method for the steady state Oberbeck-Boussinesq system
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Publication:777048
DOI10.5802/smai-jcm.64zbMath1451.65187OpenAlexW3033075557MaRDI QIDQ777048
Eligio Colmenares, Gabriel N. Gatica, Sebastián Moraga, Ricardo Ruiz-Baier
Publication date: 13 July 2020
Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/smai-jcm.64
numerical examplefinite element methodsa priori error analysisfixed-point theoryfully-mixed formulationsteady Oberbeck-Boussinesq equations
Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) 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) Thermodynamics of continua (80A17) Free convection (76R10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
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Cites Work
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- Stabilized finite element methods for the Oberbeck-Boussinesq model
- Dual-mixed finite element methods for the stationary Boussinesq problem
- Inf-sup conditions for twofold saddle point problems
- A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity
- Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows
- Theory and practice of finite elements.
- Finite element analysis of a projection-based stabilization method for the Darcy-Brinkman equations in double-diffusive convection
- A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters
- A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
- Stability and finite element approximation of phase change models for natural convection in porous media
- New mixed finite element methods for natural convection with phase-change in porous media
- An augmented fully-mixed finite element method for the stationary Boussinesq problem
- The non-linear energy stability of Brinkman thermosolutal convection with reaction
- Reduced symmetry elements in linear elasticity
- The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion
- Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
- Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters
- New fully-mixed finite element methods for the Stokes-Darcy coupling
- A refined mixed finite element method for the boussinesq equations in polygonal domains
- Numerical Solution of Boundary Control Problems for Boussinesq Model of Heat Convection
- A Simple Introduction to the Mixed Finite Element Method
- 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
- An analysis of the finite element method for natural convection problems
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Mixed and Hybrid Finite Element Methods
- Convection in Porous Media
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Mixed Finite Element Methods and Applications
- A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
- On $H(div)$-conforming Methods for Double-diffusion Equations in Porous Media
- Several iterative schemes for the stationary natural convection equations at different <scp>R</scp>ayleigh numbers
