A stabilized finite element method for the Stokes-temperature coupled problem
DOI10.1016/j.apnum.2023.02.002OpenAlexW4317538891MaRDI QIDQ6106924
Abner H. Poza, Rodolfo A. Araya, Cristian Cárcamo
Publication date: 3 July 2023
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2023.02.002
Smoothness and regularity of solutions to PDEs (35B65) 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) Finite element methods applied to problems in fluid mechanics (76M10) Diffusive and convective heat and mass transfer, heat flow (80A19)
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Cites Work
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- A projection-based stabilized finite element method for steady-state natural convection problem
- Automated solution of differential equations by the finite element method. The FEniCS book
- On a residual local projection method for the Darcy equation
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Least-squares finite element methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- Finite element approximation of the viscoelastic flow problem: a non-residual based stabilized formulation
- Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Theory and practice of finite elements.
- A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
- An adaptive stabilized finite element method for the Darcy's equations with pressure dependent viscosities
- Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
- A low-order local projection method for the incompressible Navier–Stokes equations in two- and three-dimensions
- Beyond pressure stabilization: A low-order local projection method for the Oseen equation
- Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier–Stokes Equations
- A posteriorierror analysis for a viscous flow-transport problem
- Consistent Local Projection Stabilized Finite Element Methods
- Continuous Interior Penalty Finite Element Method for Oseen's Equations
- An augmented mixed-primal finite element method for a coupled flow-transport problem
- Finite Element Methods for Navier-Stokes Equations
- Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
- On the numerical analysis of nonlinear twofold saddle point problems
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
- A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
- The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments
- Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation
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