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dc.contributor.authorHeister, Timo
dc.contributor.authorRapin, Gerd
dc.date.accessioned2016-02-25T13:12:41Z
dc.date.available2016-02-25T13:12:41Z
dc.date.issued2012-01-29
dc.identifier.citationHeister T, Rapin G (2012) Efficient augmented Lagrangian-type preconditioning for the Oseen problem using Grad-Div stabilization. Int J Numer Meth Fluids 71: 118–134. Available: http://dx.doi.org/10.1002/fld.3654.
dc.identifier.issn0271-2091
dc.identifier.doi10.1002/fld.3654
dc.identifier.urihttp://hdl.handle.net/10754/598100
dc.description.abstractEfficient preconditioning for Oseen-type problems is an active research topic. We present a novel approach leveraging stabilization for inf-sup stable discretizations. The Grad-Div stabilization shares the algebraic properties with an augmented Lagrangian-type term. Both simplify the approximation of the Schur complement, especially in the convection-dominated case. We exploit this for the construction of the preconditioner. Solving the discretized Oseen problem with an iterative Krylov-type method shows that the outer iteration numbers are retained independent of mesh size, viscosity, and finite element order. Thus, the preconditioner is very competitive. © 2012 John Wiley & Sons, Ltd.
dc.description.sponsorshipThe majority of the research was done while both authors worked at the University of Gottingen, Germany. Timo Heister was partially supported by the German Research Foundation (DFG) through the Research Training Group GK 1023. This publication is based, in part, on the work supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherWiley-Blackwell
dc.subjectAugmented Lagrangian
dc.subjectGrad-Div stabilization
dc.subjectNavier-Stokes
dc.subjectOseen problem
dc.subjectPreconditioning
dc.subjectSchur complement
dc.titleEfficient augmented Lagrangian-type preconditioning for the Oseen problem using Grad-Div stabilization
dc.typeArticle
dc.identifier.journalInternational Journal for Numerical Methods in Fluids
dc.contributor.institutionDepartment of Mathematics; Texas A&M University, College Station; TX; 77843-3368; USA
dc.contributor.institutionInterior Engineering; Volkswagen AG; Wolfsburg; Germany
kaust.grant.numberKUS-C1-016-04


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