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.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: 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)

Contributors, Places and Time

• Creator: Dominguez, Dayron ; Lautsch, Leopold ; Richter, Thomas

Further information

• DOI: 10.1002/pamm.202300193
• URN: urn:nbn:de:101:1-2023091015013187219039
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 10:48 AM CEST