Stability and convergence of optimum spectral non-linear Galerkin methods

DOI10.1002/mma.219zbMath1006.35077OpenAlexW2164494944WikidataQ59316775 ScholiaQ59316775MaRDI QIDQ2725352

Yin-Nian He, Yan-ren Hou, Kai-Tai Li

Publication date: 4 March 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.219

zbMATH Keywords

stabilityconvergencenumerical schemes2-D Navier-Stokes equations with periodic boundary conditions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization ⋮ A modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin–Voigt fluids

Cites Work

• Inertial manifolds for nonlinear evolutionary equations
• On approximate inertial manifolds for two and three dimensional turbulent flows
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods
• On the Question of Turbulence Modeling by Approximate Inertial Manifolds and the Nonlinear Galerkin Method
• Nonlinear Galerkin Methods
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• Time integration of the non-linear Galerkin method
• Nonlinear Galerkin method and two-step method for the Navier-Stokes equations
• On the Rate of Convergence of the Nonlinear Galerkin Methods

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