A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
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Publication:1986286
DOI10.1016/j.cma.2018.05.020zbMath1440.65170OpenAlexW2806462648WikidataQ129740444 ScholiaQ129740444MaRDI QIDQ1986286
César Naranjo, Gabriel R. Barrenechea, Alejandro Allendes
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://strathprints.strath.ac.uk/64503/
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 (14)
A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy ⋮ Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis ⋮ A decoupled and iterative finite element method for generalized Boussinesq equations ⋮ Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation ⋮ A stabilized finite element method for the Stokes-temperature coupled problem ⋮ A modified convective formulation in Navier-Stokes simulations ⋮ A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity ⋮ Analysis of a stabilised finite element method for power-law fluids ⋮ Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers ⋮ A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier--Stokes Equations ⋮ On $H(div)$-conforming Methods for Double-diffusion Equations in Porous Media ⋮ Versatile mixed methods for non-isothermal incompressible flows ⋮ A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations ⋮ A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations
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Cites Work
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Stabilized finite element methods for the Oberbeck-Boussinesq model
- On the parameter choice in grad-div stabilization for the Stokes equations
- A second order characteristics finite element scheme for natural convection problems
- Finite dimensional approximation of nonlinear problems. II: Limit points
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Joseph Boussinesq and his approximation: a contemporary view
- An optimal Poincaré inequality for convex domains
- A note on the Poincaré inequality for convex domains
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Stabilised DG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes
- A high-order local projection stabilization method for natural convection problems
- Stationary solutions for generalized Boussinesq models
- Stabilized finite element methods for the generalized Oseen problem
- Beyond pressure stabilization: A low-order local projection method for the Oseen equation
- Consistent Local Projection Stabilized Finite Element Methods
- A steepest gradient method for optimum structural design
- An analysis of the finite element method for natural convection problems
- Finite Element Methods for Navier-Stokes Equations
- From onset of unsteadiness to chaos in a differentially heated square cavity
- Characteristic‐based‐split (CBS) algorithm for incompressible flow problems with heat transfer
- Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
- An explicit finite element algorithm for convection heat transfer problems
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 1: Analysis of the continuous problem
- The steady Navier–Stokes/energy system with temperature‐dependent viscosity—Part 2: The discrete problem and numerical experiments
- The Mathematical Theory of Finite Element Methods
- An exactly divergence-free finite element method for a generalized Boussinesq problem
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