A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem

Blanca Ayuso De Dios; Franco Brezzi; L. Donatella Marini; Jinchao Xu; Ludmil Zikatanov

doi:10.1007/s10915-013-9758-0

A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem

Blanca Ayuso De Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, Ludmil Zikatanov

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div, Ω)-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. © Springer Science+Business Media New York 2013.

Original language	English (US)
Pages (from-to)	517-547
Number of pages	31
Journal	Journal of Scientific Computing
Volume	58
Issue number	3
DOIs	https://doi.org/10.1007/s10915-013-9758-0
State	Published - Jan 1 2014
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Computational Theory and Mathematics
Theoretical Computer Science
Software
General Engineering

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A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem

Abstract

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