Bremm, Sophia ; Rosendahl, Philipp L. ; Becker, Wilfried (2021)
Application of a reduced basis method for an efficient treatment of structural mechanics problems.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 20 (1)
doi: 10.1002/pamm.202000012
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
For numerous problems in structural mechanics, a repeated solution of partial differential equations (PDEs), varying certain input parameters, is necessary. Solving the PDE for a large number of different input parameter sets using a full‐dimensional finite element method, requires repeated solving of large systems of equations and, thus, leads to a high computational effort. The aim of model order reduction techniques is to reduce the computational complexity in such calculations. In order to achieve this, the idea of the reduced basis method [1–3] is to replace the high‐dimensional model with a lower dimensional model, which is realized by forming a basis of solutions of the full problem for selected parameter sets. Key to determining suitable parameter sets is an appropriate error estimator.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2021 |
| Autor(en): | Bremm, Sophia ; Rosendahl, Philipp L. ; Becker, Wilfried |
| Art des Eintrags: | Bibliographie |
| Titel: | Application of a reduced basis method for an efficient treatment of structural mechanics problems |
| Sprache: | Englisch |
| Publikationsjahr: | 2021 |
| Ort: | Weinheim |
| Ort der Erstveröffentlichung: | Weinheim |
| Verlag: | Wiley‐VCH |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM — Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 20 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1002/pamm.202000012 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | For numerous problems in structural mechanics, a repeated solution of partial differential equations (PDEs), varying certain input parameters, is necessary. Solving the PDE for a large number of different input parameter sets using a full‐dimensional finite element method, requires repeated solving of large systems of equations and, thus, leads to a high computational effort. The aim of model order reduction techniques is to reduce the computational complexity in such calculations. In order to achieve this, the idea of the reduced basis method [1–3] is to replace the high‐dimensional model with a lower dimensional model, which is realized by forming a basis of solutions of the full problem for selected parameter sets. Key to determining suitable parameter sets is an appropriate error estimator. |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Institut für Statik und Konstruktion 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strukturmechanik (FSM) |
| Hinterlegungsdatum: | 30 Mär 2021 06:07 |
| Letzte Änderung: | 28 Nov 2023 14:51 |
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| Suche nach Titel in: | TUfind oder in Google |
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Application of a reduced basis method for an efficient treatment of structural mechanics problems. (deposited 27 Nov 2023 13:42)
- Application of a reduced basis method for an efficient treatment of structural mechanics problems. (deposited 30 Mär 2021 06:07) [Gegenwärtig angezeigt]
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