Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis
From MaRDI portal
Publication:2176911
DOI10.1016/j.cma.2019.112703zbMath1442.76060OpenAlexW2998992048WikidataQ126346744 ScholiaQ126346744MaRDI QIDQ2176911
César Naranjo, Enrique Otárola, Alejandro Allendes
Publication date: 6 May 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2019.112703
a posteriori error analysisadaptive finite elementsstabilized finite element methodsa generalized Boussinesq problem
Navier-Stokes equations for incompressible viscous fluids (76D05) Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
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 probabilistic data assimilation framework to reconstruct finite element error fields from sparse error estimates: Application to sub‐modeling ⋮ The stationary Boussinesq problem under singular forcing ⋮ A fractional-step DG-FE method for the time-dependent generalized Boussinesq equations ⋮ A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models ⋮ A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Dual-mixed finite element methods for the stationary Boussinesq problem
- A projection-based stabilized finite element method for steady-state natural convection problem
- A posteriori error estimation and adaptive computation of conduction convection problems
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Joseph Boussinesq and his approximation: a contemporary view
- Two classes of mixed finite element methods
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Elliptic partial differential equations of second order
- A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity
- A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model
- Theory and practice of finite elements.
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Stationary solutions for generalized Boussinesq models
- A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem
- An augmented fully-mixed finite element method for the stationary Boussinesq problem
- A posteriori error analysis of a mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity
- 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
- Analysis of an augmented mixed-primal formulation for the stationary Boussinesq problem
- Primer of Adaptive Finite Element Methods
- Consistent Local Projection Stabilized Finite Element Methods
- A Posteriori Error Estimators for the Stokes and Oseen Equations
- An analysis of the finite element method for natural convection problems
- Finite Element Methods for 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
- Several iterative schemes for the stationary natural convection equations at different <scp>R</scp>ayleigh numbers
- 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
- Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
- An exactly divergence-free finite element method for a generalized Boussinesq problem
