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http://dx.doi.org/10.18419/opus-13166
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Schmidt, Andreas | - |
dc.contributor.author | Wittwar, Dominik | - |
dc.contributor.author | Haasdonk, Bernard | - |
dc.date.accessioned | 2023-06-16T11:12:00Z | - |
dc.date.available | 2023-06-16T11:12:00Z | - |
dc.date.issued | 2020 | de |
dc.identifier.issn | 1019-7168 | - |
dc.identifier.issn | 1572-9044 | - |
dc.identifier.other | 1851221999 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-131851 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/13185 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-13166 | - |
dc.description.abstract | Quantifying the error that is induced by numerical approximation techniques is an important task in many fields of applied mathematics. Two characteristic properties of error bounds that are desirable are reliability and efficiency. In this article, we present an error estimation procedure for general nonlinear problems and, in particular, for parameter-dependent problems. With the presented auxiliary linear problem (ALP)-based error bounds and corresponding theoretical results, we can prove large improvements in the accuracy of the error predictions compared with existing error bounds. The application of the procedure in parametric model order reduction setting provides a particularly interesting setup, which is why we focus on the application in the reduced basis framework. Several numerical examples illustrate the performance and accuracy of the proposed method. | en |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | de |
dc.description.sponsorship | Projekt DEAL | de |
dc.language.iso | en | de |
dc.relation.uri | doi:10.1007/s10444-020-09741-x | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
dc.subject.ddc | 510 | de |
dc.title | Rigorous and effective a-posteriori error bounds for nonlinear problems : application to RB methods | en |
dc.type | article | de |
dc.date.updated | 2023-05-15T11:05:21Z | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Angewandte Analysis und numerische Simulation | de |
ubs.publikation.seiten | 30 | de |
ubs.publikation.source | Advances in computational mathematics 46 (2020), No. 32 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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s10444-020-09741-x.pdf | 1,36 MB | Adobe PDF | Öffnen/Anzeigen |
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