Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems Article Swipe
Robin Herkert
,
Patrick Buchfink
,
Bernard Haasdonk
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s10444-023-10102-7
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s10444-023-10102-7
Classical model order reduction (MOR) for parametric problems may become computationally inefficient due to large sizes of the required projection bases, especially for problems with slowly decaying Kolmogorov n -widths. Additionally, Hamiltonian structure of dynamical systems may be available and should be preserved during the reduction. In the current presentation, we address these two aspects by proposing a corresponding dictionary-based, online-adaptive MOR approach. The method requires dictionaries for the state-variable, non-linearities, and discrete empirical interpolation (DEIM) points. During the online simulation, local basis extensions/simplifications are performed in an online-efficient way, i.e., the runtime complexity of basis modifications and online simulation of the reduced models do not depend on the full state dimension. Experiments on a linear wave equation and a non-linear Sine-Gordon example demonstrate the efficiency of the approach.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s10444-023-10102-7
- https://link.springer.com/content/pdf/10.1007/s10444-023-10102-7.pdf
- OA Status
- hybrid
- Cited By
- 3
- References
- 30
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- 10
- OpenAlex ID
- https://openalex.org/W4391538576
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https://openalex.org/W4391538576Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1007/s10444-023-10102-7Digital Object Identifier
- Title
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Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systemsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-02-01Full publication date if available
- Authors
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Robin Herkert, Patrick Buchfink, Bernard HaasdonkList of authors in order
- Landing page
-
https://doi.org/10.1007/s10444-023-10102-7Publisher landing page
- PDF URL
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https://link.springer.com/content/pdf/10.1007/s10444-023-10102-7.pdfDirect link to full text PDF
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s10444-023-10102-7.pdfDirect OA link when available
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Computational Science and Engineering, Model order reduction, Reduction (mathematics), Mathematics, Parametric statistics, Applied mathematics, Order (exchange), Algorithm, Computer science, Theoretical computer science, Geometry, Statistics, Economics, Projection (relational algebra), FinanceTop concepts (fields/topics) attached by OpenAlex
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3Total citation count in OpenAlex
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2025: 3Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| corresponding_author_ids | https://openalex.org/A5081354459 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| corresponding_institution_ids | https://openalex.org/I100066346 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/4 |
| sustainable_development_goals[0].score | 0.6399999856948853 |
| sustainable_development_goals[0].display_name | Quality Education |
| citation_normalized_percentile.value | 0.74976993 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |