On the convergence of a low order Lagrange finite element approach for natural convection problems
DOI10.1016/j.camwa.2023.07.023arXiv2207.12732OpenAlexW4310184318MaRDI QIDQ6052369
Ionut Danaila, Francky Luddens, Catherine Legrand
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.12732
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
- Hitchhiker's guide to the fractional Sobolev spaces
- Accurate solutions to the square thermally driven cavity at high Rayleigh number
- Numerical simulation of two-dimensional Rayleigh-Bénard convection in an enclosure
- A full discretisation of the time-dependent Boussinesq (buoyancy) model with nonlinear viscosity
- On the \({H}^1\) conforming virtual element method for time dependent Stokes equation
- A projection scheme for phase change problems with convection
- Mixed finite elements for convection-coupled phase-change in enthalpy form: open software verified and applied to 2D benchmarks
- Stability and finite element approximation of phase change models for natural convection in porous media
- Fully-implicit orthogonal reconstructed discontinuous Galerkin method for fluid dynamics with phase change
- Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters
- A high order term-by-term stabilization solver for incompressible flow problems
- Analysis of the Scott–Zhang interpolation in the fractional order Sobolev spaces
- An analysis of the finite element method for natural convection problems
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- An accurate solution procedure for fluid flow with natural convection
- New development in freefem++
- A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations
- Error analysis of non inf-sup stable discretizations of the time-dependent Navier–Stokes equations with local projection stabilization
- Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis
- Éléments finis: théorie, applications, mise en œuvre.
- A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection
- Parallel finite-element codes for the simulation of two-dimensional and three-dimensional solid-liquid phase-change systems with natural convection
This page was built for publication: On the convergence of a low order Lagrange finite element approach for natural convection problems
