Using divergence free wavelets for the numerical solution of the Stokes problem

The divergence free formulation of the Stokes problem leads to a positive deenite system of reduced size for the velocity, provided that divergence free trial spaces are available. The pressure is eliminated and can eeciently be computed by a post-processing procedure. In this paper we use divergence free wavelets to construct corresponding trial spaces for a Galerkin scheme. We describe the construction, prove error estimates for the resulting scheme and show some numerical results.

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