Stability and convergence of the reform postprocessing Galerkin method

DOI10.1016/S0362-546X(99)00283-7zbMath0976.65085OpenAlexW2085930418WikidataQ127646920 ScholiaQ127646920MaRDI QIDQ5933583

Yin-Nian He, Robert M. M. Mattheij

Publication date: 19 December 2001

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00283-7

zbMATH Keywords

stabilityconvergenceGalerkin methodNavier-Stokes equationsHilbert spacepostprocessing Galerkin method

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) 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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (5)

Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations ⋮ Stability and convergence of the reform postprocessing Galerkin method ⋮ Multi-level spectral Galerkin method for the Navier-Stokes equations. II: Time discretization ⋮ A two-level method in space and time for the Navier-Stokes equations ⋮ Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
• Modelling of the interaction of small and large eddies in two dimensional turbulent flows
• An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
• On the Question of Turbulence Modeling by Approximate Inertial Manifolds and the Nonlinear Galerkin Method
• Multilevel Methods in Space and Time for the Navier--Stokes Equations
• Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
• Nonlinear Galerkin Methods
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• On the Rate of Convergence of the Nonlinear Galerkin Methods
• Stability and convergence of the reform postprocessing Galerkin method

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