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dc.contributor.authorEftang, Jens L.
dc.contributor.authorPatera, Anthony T.
dc.date.accessioned2015-07-07T15:55:41Z
dc.date.available2015-07-07T15:55:41Z
dc.date.issued2013-07
dc.identifier.issn00295981
dc.identifier.issn1097-0207
dc.identifier.urihttp://hdl.handle.net/1721.1/97696
dc.description.abstractWe introduce a port (interface) approximation and a posteriori error bound framework for a general component-based static condensation method in the context of parameter-dependent linear elliptic partial differential equations. The key ingredients are as follows: (i) efficient empirical port approximation spaces—the dimensions of these spaces may be chosen small to reduce the computational cost associated with formation and solution of the static condensation system; and (ii) a computationally tractable a posteriori error bound realized through a non-conforming approximation and associated conditioner—the error in the global system approximation, or in a scalar output quantity, may be bounded relatively sharply with respect to the underlying finite element discretization. Our approximation and a posteriori error bound framework is of particular computational relevance for the static condensation reduced basis element (SCRBE) method. We provide several numerical examples within the SCRBE context, which serve to demonstrate the convergence rate of our port approximation procedure as well as the efficacy of our port reduction error bounds.en_US
dc.description.sponsorshipResearch Council of Norwayen_US
dc.description.sponsorshipUnited States. Office of Naval Research (Grant N00014-11-0713)en_US
dc.language.isoen_US
dc.publisherWiley Blackwellen_US
dc.relation.isversionofhttp://dx.doi.org/10.1002/nme.4543en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMIT web domainen_US
dc.titlePort reduction in parametrized component static condensation: approximation and a posteriori error estimationen_US
dc.typeArticleen_US
dc.identifier.citationEftang, Jens L., and Anthony T. Patera. “Port Reduction in Parametrized Component Static Condensation: Approximation and a Posteriori Error Estimation.” Int. J. Numer. Meth. Engng (July 2013): n/a–n/a.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.mitauthorEftang, Jens L.en_US
dc.contributor.mitauthorPatera, Anthony T.en_US
dc.relation.journalInternational Journal for Numerical Methods in Engineeringen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsEftang, Jens L.; Patera, Anthony T.en_US
dc.identifier.orcidhttps://orcid.org/0000-0002-2631-6463
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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