Long time unconditional stability of a two-level hybrid method for nonstationary incompressible Navier-Stokes equations
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Publication:1789729
DOI10.1016/j.cam.2018.05.023zbMath1397.76095OpenAlexW2804962757MaRDI QIDQ1789729
Publication date: 10 October 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.023
Navier-Stokes equationsstability analysisCrank-Nicolson schemea two-level MCRS methodexplicit MacCormack algorithm
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
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Cites Work
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- Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
- Two-level method and some a priori estimates in unsteady Navier-Stokes calculations
- Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
- On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmical approach
- Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
- Long time stability and convergence rate of MacCormack rapid solver method for nonstationary Stokes-Darcy problem
- A two-level discretization method for the Navier-Stokes equations
- Two-grid finite-element schemes for the transient Navier-Stokes problem
- Uncoupling evolutionary groundwater-surface water flows using the Crank-Nicolson Leapfrog method
- On the Boundary Condition at the Surface of a Porous Medium
- PDE.Mart
- A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
- Decoupled schemes for a non-stationary mixed Stokes-Darcy model
- A Conforming Finite Element Method for the Time-Dependent Navier–Stokes Equations
- Compressible and incompressible fluids
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A Linearized Crank-Nicolson-Galerkin Method for the Ginzburg-Landau Model
- Minimum Residual Adaptive Multilevel Finite Element Procedure for the Solution of Nonlinear Stationary Problems
- On Preconditioning of Incompressible Non-Newtonian Flow Problems
- Numerical simulation of laminar flames at low Mach number by adaptive finite elements
- Nonlinear Galerkin Methods
- Long time stability and convergence for fully discrete nonlinear galerkin methods
- Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
- Local and parallel finite element algorithms based on two-grid discretizations
