Abstract cascading multigrid preconditioners in Besov spaces
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Abstract
In this paper we describe and analyze the generalframework of cascading multigrid preconditioning. In particular, weintroduce two preconditioners based on the cascading multigridapproach. We then illustrate the application of the correspondingmethod to the heat equation with mild regularity in Besov spaces.Furthermore, we analyze a cascading multigrid preconditioner for theinterior penalty discontinuous Galerkin method.
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