A variational approach for temporal multiscale problems and its application to adaptivity and optimization
Abstract: We discuss a computational multiscale method for the efficient simulation and optimization of differential equations with multiple scales in time. The approach is based on isolating the influences of the fast scale by a local periodic‐in‐time assumption that allows for time‐stepping of the averaged slow scale with very large step sizes. For this approach we develop a variational formulation that gives easy access to the methodology of goal‐oriented error estimation and adaptivity as well as gradient based optimization.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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A variational approach for temporal multiscale problems and its application to adaptivity and optimization ; day:10 ; month:09 ; year:2023 ; extent:8
Proceedings in applied mathematics and mechanics ; (10.09.2023) (gesamt 8)
- Urheber
- DOI
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10.1002/pamm.202300193
- URN
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urn:nbn:de:101:1-2023091015013187219039
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:48 MESZ
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Beteiligte
- Dominguez, Dayron
- Lautsch, Leopold
- Richter, Thomas