New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations

DOI10.1007/s10483-015-1953-9zbMath1322.76020OpenAlexW632031864MaRDI QIDQ748131

Yongzheng An, Hong Liu, XiaoJing Dong, Guo-Dong Zhang

Publication date: 20 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10483-015-1953-9

zbMATH Keywords

stabilityconvergenceNewton iterationNavier-Stokes equationStokes iteration

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Unnamed Item
• A parallel two-level finite element method for the Navier-Stokes equations
• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• The stabilized extrapolated trapezoidal finite element method for the Navier-Stokes equations
• Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem
• Local and parallel finite element algorithms based on two-grid discretization for steady Navier-Stokes equations
• Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations
• Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
• A two-level discretization method for the Navier-Stokes equations
• Two-level stabilized finite element method for Stokes eigenvalue problem
• Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations
• Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations
• Two-level stabilized finite element methods for the steady Navier-Stokes problem
• Two-grid finite-element schemes for the transient Navier-Stokes problem
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Numerical Solution of the Stationary Navier--Stokes Equations Using a Multilevel Finite Element Method
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations
• Approximation of the global attractor for the incompressible Navier-Stokes equations
• Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

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