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dc.contributorVirginia Tech
dc.contributor.authorSiefert, C.
dc.contributor.authorDe Sturler, E.
dc.date.accessioned2014-05-28T18:35:07Z
dc.date.available2014-05-28T18:35:07Z
dc.date.issued2006
dc.identifier.citationSiefert, C.; De Sturler, E., "Preconditioners for generalized saddle-point problems," SIAM J. Numer. Anal., 44(3), 1275-1296, (2006). DOI: 10.1137/040610908
dc.identifier.issn0036-1429
dc.identifier.urihttp://hdl.handle.net/10919/48151
dc.description.abstractWe propose and examine block-diagonal preconditioners and variants of indefinite preconditioners for block two-by-two generalized saddle-point problems. That is, we consider the nonsymmetric, nonsingular case where the ( 2,2) block is small in norm, and we are particularly concerned with the case where the ( 1,2) block is different from the transposed ( 2,1) block. We provide theoretical and experimental analyses of the convergence and eigenvalue distributions of the preconditioned matrices. We also extend the results of [ de Sturler and Liesen, SIAM J. Sci. Comput., 26 ( 2005), pp. 1598 - 1619] to matrices with nonzero ( 2,2) block and to the use of approximate Schur complements. To demonstrate the effectiveness of these preconditioners we show convergence results, spectra, and eigenvalue bounds for two model Navier - Stokes problems.
dc.description.sponsorshipU.S. Department of Energy under grant DOE LLNL B341494 through the Center for the Simulation of Advanced Rockets
dc.language.isoen_US
dc.publisherSiam Publications
dc.subjectpoint problems
dc.subjectgeneralized saddle-point problems
dc.subjectiterative methods
dc.subjectpreconditioning
dc.subjectkrylov subspace methods
dc.subjecteigenvalue bounds
dc.subjectindefinite linear-systems
dc.subjectnavier-stokes equations
dc.subjectfast iterative
dc.subjectsolution
dc.subjectblock preconditioners
dc.subjectapproximation
dc.subjectoptimization
dc.subjectinexact
dc.subjectpart
dc.subjectmathematics, applied
dc.titlePreconditioners for generalized saddle-point problems
dc.typeArticle
dc.identifier.urlhttp://epubs.siam.org/doi/abs/10.1137/040610908
dc.date.accessed2014-05-27
dc.title.serialSiam Journal on Numerical Analysis
dc.identifier.doihttps://doi.org/10.1137/040610908


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