In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, ?)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.
A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem
F Brezzi;LD Marini;
2014
Abstract
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, ?)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.File in questo prodotto:
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Descrizione: A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem
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