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http://dx.doi.org/10.18419/opus-10269
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Buchfink, Patrick | - |
dc.contributor.author | Bhatt, Ashish | - |
dc.contributor.author | Haasdonk, Bernard | - |
dc.date.accessioned | 2019-02-28T10:41:04Z | - |
dc.date.available | 2019-02-28T10:41:04Z | - |
dc.date.issued | 2019 | de |
dc.identifier.other | 518221385 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-102864 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/10286 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-10269 | - |
dc.description.abstract | Parametric high-fidelity simulations are of interest for a wide range of applications. But the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios. Model order reduction (MOR) is used to tackle this issue. Recently, MOR is extended to preserve specific structures of the model throughout the reduction, e.g. structure-preserving MOR for Hamiltonian systems. This is referred to as symplectic MOR. It is based on the classical projection-based MOR and uses a symplectic reduced order basis (ROB). Such a ROB can be derived in a data-driven manner with the Proper Symplectic Decomposition (PSD) in the form of a minimization problem. Due to the strong nonlinearity of the minimization problem, it is unclear how to efficiently find a global optimum. In our paper, we show that current solution procedures almost exclusively yield suboptimal solutions by restricting to orthonormal ROBs. As new methodological contribution, we propose a new method which eliminates this restriction by generating non-orthonormal ROBs. In the numerical experiments, we examine the different techniques for a classical linear elasticity problem and observe that the non-orthonormal technique proposed in this paper shows superior results with respect to the error introduced by the reduction. | de |
dc.language.iso | en | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.ddc | 510 | de |
dc.title | Symplectic model order reduction with non-orthonormal bases | en |
dc.type | preprint | de |
ubs.fakultaet | Mathematik und Physik | de |
ubs.fakultaet | Fakultäts- und hochschulübergreifende Einrichtungen | de |
ubs.fakultaet | Fakultätsübergreifend / Sonstige Einrichtung | de |
ubs.institut | Institut für Angewandte Analysis und numerische Simulation | de |
ubs.institut | Stuttgart Research Centre for Simulation Technology (SRC SimTech) | de |
ubs.institut | Fakultätsübergreifend / Sonstige Einrichtung | de |
ubs.publikation.seiten | 19 | de |
ubs.publikation.typ | Preprint | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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preprint-joined.pdf | 920,75 kB | Adobe PDF | Öffnen/Anzeigen |
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