Multigrid Techniques for a Divergence{free Nite Element Discretization

Abstract

We derive some basic properties for a class of discretely divergence{free nite elements which lead to a new proof of the smoothing property in a standard multigrid algorithm for solving the Stokes equations. Using appropriate grid transfer routines which are of second order accuracy and interpolate in a divergence{free way, the usual multigrid convergence… (More)

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