Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
type: Item
instance of: scholarly article
title: Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
zbMATH Open document ID: 0783.76068
DOI: 10.1007/BF01060871
author: F. Jauberteau
author: Thierry Dubois
author: R. Temam
published in: Journal of Scientific Computing
publication date: 1994-01-02T00:00:00Z
review text: Our aim is to study a new method for the approximation of the Navier- Stokes equations, and to present and discuss numerical results supporting the method. This method, called the nonlinear Galerkin method, uses nonlinear manifolds which are close to the attractor, while in the usual Galerkin method, we look for solutions in a linear space, i.e., whose components are independent. We consider here the two- and three- dimensional space periodic cases in the context of a pseudo-spectral discretization of the equation.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 473046
zbMATH Keywords: nonlinear manifolds
zbMATH Keywords: attractor
zbMATH Keywords: pseudo-spectral discretization
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01060871
OpenAlex ID: W2064416735
description: scientific article; zbMATH DE number 473046