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.
2014
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Auxiliary space
Discontinuous Galerkin
Stokes equation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/260465
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