| dc.contributor.author | Eftang, Jens L. | |
| dc.contributor.author | Grepl, Martin A. | |
| dc.contributor.author | Patera, Anthony T. | |
| dc.date.accessioned | 2011-03-30T18:15:14Z | |
| dc.date.available | 2011-03-30T18:15:14Z | |
| dc.date.issued | 2010-03 | |
| dc.date.submitted | 2010-02 | |
| dc.identifier.issn | 1631-073X | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/62000 | |
| dc.description.abstract | We present rigorous a posteriori error bounds for the Empirical Interpolation Method (EIM). The essential ingredients are (i) analytical upper bounds for the parametric derivatives of the function to be approximated, (ii) the EIM “Lebesgue constant,” and (iii) information concerning the EIM approximation error at a finite set of points in parameter space. The bound is computed “off-line” and is valid over the entire parameter domain; it is thus readily employed in (say) the “on-line” reduced basis context. We present numerical results that confirm the validity of our approach. | en_US |
| dc.description.sponsorship | United States. Air Force Office of Scientific Research (Grant No. FA9550-07-1-0425) | en_US |
| dc.description.sponsorship | United States. Air Force Office of Scientific Research (OSD/AFOSR Grant No. FA9550-09-1-0613) | en_US |
| dc.description.sponsorship | Norges teknisk-naturvitenskapelige universitet | en_US |
| dc.description.sponsorship | Germany. Federal Ministry of Education and Research (Excellence Initiative) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Académie des sciences. Published by Elsevier Masson SAS | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/j.crma.2010.03.004 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | MIT web domain | en_US |
| dc.title | A Posteriori Error Bounds for the Empirical Interpolation Method | en_US |
| dc.title.alternative | A posteriori error bounds for the empirical interpolation method Un estimateur a posteriori d'erreur pour la méthode d'interpolation empirique | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Eftang, Jens L., Martin A. Grepl, and Anthony T. Patera. “A Posteriori Error Bounds For the Empirical Interpolation Method.” Comptes Rendus Mathematique 348.9-10 (2010) : 575-579. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mechanical Engineering | en_US |
| dc.contributor.approver | Patera, Anthony T. | |
| dc.contributor.mitauthor | Patera, Anthony T. | |
| dc.relation.journal | Comptes Rendus Mathematique | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T. | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-2631-6463 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
