\textit{A priori} error estimates of a three-step two-level finite element Galerkin method for a 2D-Boussinesq system of equations
DOI10.1016/j.camwa.2023.06.025MaRDI QIDQ6052323
Saumya Bajpai, Debendra Kumar Swain
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
numerical examplesoptimal error estimatesbackward Euler methodtwo-grid method2D-Boussinesq systemuniform in time bounds
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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
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- A projection-based stabilized finite element method for steady-state natural convection problem
- Global Gevrey regularity for the Bénard convection in a porous medium with zero Darcy-Prandtl number
- Decoupled scheme for time-dependent natural convection problem. II: Time semidiscreteness
- On the initial value problem for the heat convection equation of Boussinesq approximation in a time-dependent domain
- The MINI mixed finite element for the Stokes problem: an experimental investigation
- Decoupled two level finite element methods for the steady natural convection problem
- Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem
- On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations
- Stabilized finite element method for the non-stationary Navier-Stokes problem
- Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients
- Error analysis for Galerkin POD approximation of the nonstationary Boussinesq equations
- A steepest gradient method for optimum structural design
- An analysis of the finite element method for natural convection problems
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- The initial value problem for a generalized Boussinesq model
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
- A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
- On Preconditioning of Incompressible Non-Newtonian Flow Problems
- Approximation of the global attractor for the incompressible Navier-Stokes equations
- One‐level and two‐level finite element methods for the Boussinesq problem
- Characteristic‐based‐split (CBS) algorithm for incompressible flow problems with heat transfer
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- An explicit finite element algorithm for convection heat transfer problems
- The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data
- Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra
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