\(H^2\)-stability of the first order Galerkin method for the Boussinesq equations with smooth and non-smooth initial data
DOI10.1016/j.camwa.2017.09.014zbMath1418.65133OpenAlexW2766100511MaRDI QIDQ2314284
Publication date: 22 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.014
PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The second order projection method in time for the time-dependent natural convection problem.
- The Euler implicit/explicit scheme for the Boussinesq equations
- On error estimates of the projection method for the time-dependent natural convection problem: first order scheme
- A posteriori error estimation and adaptive computation of conduction convection problems
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- A regularity result for the Stokes problem in a convex polygon
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
- The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem
- Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations
- \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations
- Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem
- The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
- A postprocessing mixed finite element method for the Navier–Stokes equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Mixed and Hybrid Finite Element Methods
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- Approximation of the global attractor for the incompressible Navier-Stokes equations
- A finite element variational multiscale method for steady‐state natural convection problem based on two local gauss integrations
- Stability and error analysis for spectral Galerkin method for the Navier–Stokes equations with L2 initial data
This page was built for publication: \(H^2\)-stability of the first order Galerkin method for the Boussinesq equations with smooth and non-smooth initial data