A new modified Galerkin method for the two-dimensional Navier-Stokes equations
arXiv:0708.0781
Abstract
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).
23 pages, submitted to Journal of Computational and Applied Mathematics