Multi-level spectral galerkin method for the navier-stokes problem I : Spatial discretization

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Original languageEnglish
Pages (from-to)501-522
Journal / PublicationNumerische Mathematik
Issue number3
Publication statusPublished - Sept 2005


A multi-level spectral Galerkin method for the two-dimensional non-stationary Navier-Stokes equations is presented. The method proposed here is a multiscale method in which the fully nonlinear Navier-Stokes equations are solved only on a low-dimensional space [InlineMediaObject not available: see fulltext.] subsequent approximations are generated on a succession of higher-dimensional spaces [InlineMediaObject not available: see fulltext.]j=2, . . . ,J, by solving a linearized Navier-Stokes problem around the solution on the previous level. Error estimates depending on the kinematic viscosity 0mj.