A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy
DOI10.1007/S10092-020-00385-3zbMath1471.65193OpenAlexW3096301398MaRDI QIDQ831264
Sergio Caucao, Ricardo Oyarzúa, Segundo Villa-Fuentes
Publication date: 11 May 2021
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-020-00385-3
mixed finite element methodstationary Boussinesq equationsconservation of momentumconservation of thermal energydivergence-conformingstress-velocity formulation
PDEs in connection with fluid mechanics (35Q35) 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) Forced convection (76R05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items (13)
Cites Work
- Unnamed Item
- Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem
- Stabilized finite element methods for the Oberbeck-Boussinesq model
- Dual-mixed finite element methods for the stationary Boussinesq problem
- A projection-based stabilized finite element method for steady-state natural convection problem
- Numerical analysis of a dual-mixed problem in non-standard Banach spaces
- Theory and practice of finite elements.
- A fully-mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent parameters
- A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
- A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem
- An augmented fully-mixed finite element method for the stationary Boussinesq problem
- 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
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
- A Simple Introduction to the Mixed Finite Element Method
- A posteriorierror analysis for a viscous flow-transport problem
- Analysis of an augmented mixed-FEM for the Navier-Stokes problem
- A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
- A steepest gradient method for optimum structural design
- An augmented mixed-primal finite element method for a coupled flow-transport problem
- Sobolev Estimates for the Green Potential Associated with the Robin—Laplacian in Lipschitz Domains Satisfying a Uniform Exterior Ball Condition
- Mixed and Hybrid Finite Element Methods
- Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
- On $H(div)$-conforming Methods for Double-diffusion Equations in Porous Media
- The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments
- An exactly divergence-free finite element method for a generalized Boussinesq problem
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