Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems

Originalpublikation

Thiele, J.P.; Wick, T.: Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems. In: Journal of Scientific Computing 99 (2024), Nr. 1, 25. DOI: https://doi.org/10.1007/s10915-024-02485-6

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Zum Zitieren der Version im Repositorium verwenden Sie bitte diesen DOI: https://doi.org/10.15488/17104

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Zusammenfassung:
In this work, we consider space-time goal-oriented a posteriori error estimation for parabolic problems. Temporal and spatial discretizations are based on Galerkin finite elements of continuous and discontinuous type. The main objectives are the development and analysis of space-time estimators, in which the localization is based on a weak form employing a partition-of-unity. The resulting error indicators are used for temporal and spatial adaptivity. Our developments are substantiated with several numerical examples.
Lizenzbestimmungen: CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0
Publikationstyp: Article
Publikationsstatus: publishedVersion
Erstveröffentlichung: 2024
Schlagwörter (englisch): Dual weighted residuals, Goal-oriented a posteriori error estimations, Localisation, Open source implementation, Parabolic problems
Fachliche Zuordnung (DDC): 004 | Informatik

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