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dc.contributor.authorChen, Meng-Huo
dc.contributor.authorGreenbaum, Anne
dc.date.accessioned2016-01-19T14:43:27Z
dc.date.available2016-01-19T14:43:27Z
dc.date.issued2015-03-18
dc.identifier.citationChen M-H, Greenbaum A (2015) Analysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem. Numerical Linear Algebra with Applications 22: 681–701. Available: http://dx.doi.org/10.1002/nla.1980.
dc.identifier.issn1070-5325
dc.identifier.doi10.1002/nla.1980
dc.identifier.urihttp://hdl.handle.net/10754/594215
dc.description.abstractSummary: A two-grid convergence analysis based on the paper [Algebraic analysis of aggregation-based multigrid, by A. Napov and Y. Notay, Numer. Lin. Alg. Appl. 18 (2011), pp. 539-564] is derived for various aggregation schemes applied to a finite element discretization of a rotated anisotropic diffusion equation. As expected, it is shown that the best aggregation scheme is one in which aggregates are aligned with the anisotropy. In practice, however, this is not what automatic aggregation procedures do. We suggest approaches for determining appropriate aggregates based on eigenvectors associated with small eigenvalues of a block splitting matrix or based on minimizing a quantity related to the spectral radius of the iteration matrix. © 2015 John Wiley & Sons, Ltd.
dc.description.sponsorshipNational Science Foundation
dc.publisherWiley
dc.subjectAggregation
dc.subjectAlgebraic multigrid
dc.subjectRotated anisotropic diffusion
dc.titleAnalysis of an aggregation-based algebraic two-grid method for a rotated anisotropic diffusion problem
dc.typeArticle
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalNumerical Linear Algebra with Applications
dc.contributor.institutionDepartment of Applied Mathematics; University of Washington; Box 353925 Seattle WA 98195 USA
kaust.personChen, Meng-Huo
dc.date.published-online2015-03-18
dc.date.published-print2015-08


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