A parallel two-level finite element method for the Navier-Stokes equations

DOI10.1007/s10483-010-1373-7zbMath1410.76196OpenAlexW2033390820MaRDI QIDQ618920

Zhen-Dong Luo, Yue-qiang Shang

Publication date: 17 January 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1373-7

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Two-level stabilized finite element method for Stokes eigenvalue problem ⋮ Parallel finite element computation of incompressible magnetohydrodynamics based on three iterations ⋮ A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations ⋮ A finite element variational multiscale method based on two-grid discretization for the steady incompressible Navier-Stokes equations ⋮ Parallel defect-correction algorithms based on finite element discretization for the Navier-Stokes equations ⋮ A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction ⋮ New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations

Cites Work

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• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• Local and parallel finite element algorithms based on two-grid discretization for steady Navier-Stokes equations
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
• On Preconditioning of Incompressible Non-Newtonian Flow Problems
• Local and parallel finite element algorithms based on two-grid discretizations

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