A new modified Galerkin method for the two-dimensional Navier-Stokes equations

Details A new modified Galerkin method for the two-dimensional Navier-Stokes equations A new modified Galerkin method for the two-dimensional Navier-Stokes equations

2007-08-06

arxiv.org/abs/0708.0781v1

Mathematics

Numerical Analysis

23 pages, submitted to Journal of Computational and Applied Mathematics

Scientific paper

We present a new type of modified Galerkin method. It is a construction with several (inductively defined) levels, that provides approximate solutions of increasing accuracy with every new level. These solutions are constructed as approximations of the so called induced trajectories (notion on which the definition of a class of approximate inertial manifolds used in the nonlinear and postprocessed Galerkin methods is based).

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