A Domain Decomposition Preconditioner for Hermite Collocation Problems

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dc.contributor.authorMateescu, Gabrielen
dc.contributor.authorRibbens, Calvin J.en
dc.contributor.authorWatson, Layne T.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:37Zen
dc.date.available2013-06-19T14:36:37Zen
dc.date.issued2002en
dc.description.abstractWe propose a preconditioning method for linear systems of equations arising from piecewise Hermite bicubic collocation applied to two dimensional elliptic PDEs with mixed boundary conditions. We construct an efficient, parallel preconditioner for the GMRES method. The main contribution of the paper is a novel interface preconditioner derived in the framework of substructuring and employing a local Hermite collocation discretization for the interface subproblems based on a hybrid fine-coarse mesh. Interface equations based on this mesh depend only weakly on unknowns associated with subdomains. The effectiveness of the proposed method is highlighted by numerical experiments that cover a variety of problems.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000551/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000551/01/TR0202.pdfen
dc.identifier.trnumberTR-02-02en
dc.identifier.urihttp://hdl.handle.net/10919/20068en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectParallel computationen
dc.titleA Domain Decomposition Preconditioner for Hermite Collocation Problemsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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