Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Maier, Matthias [VerfasserIn]  |
| Rannacher, Rolf [VerfasserIn]  |
Titel: | A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems |
Verf.angabe: | Matthias Maier and Rolf Rannacher |
Umfang: | 17 S. |
Fussnoten: | Gesehen am 28.05.2018 |
Titel Quelle: | Enthalten in: Multiscale modeling & simulation |
Jahr Quelle: | 2018 |
Band/Heft Quelle: | 16(2018), 1, S. 412-428 |
ISSN Quelle: | 1540-3467 |
Abstract: | This paper introduces a novel framework for model adaptivity in the context of heterogeneous multiscale problems. The framework is based on the idea to interpret model adaptivity as a minimization problem of local error indicators that are derived in the general context of the dual weighted residual (DWR) method. Based on the optimization approach a postprocessing strategy is formulated that lifts the requirement of strict a priori knowledge about applicability and quality of effective models. This allows for the systematic, “goal-oriented” tuning of effective models} with respect to a quantity of interest. The framework is tested numerically on elliptic diffusion problems with different types of heterogeneous, random coefficients, as well as an advection-diffusion problem with a strong microscopic, random advection field. |
DOI: | doi:10.1137/16M1105670 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Verlag: http://dx.doi.org/10.1137/16M1105670 |
| Verlag: https://epubs.siam.org/doi/abs/10.1137/16M1105670 |
| DOI: https://doi.org/10.1137/16M1105670 |
Datenträger: | Online-Ressource |
Sprache: | eng |
K10plus-PPN: | 1575771780 |
Verknüpfungen: | → Zeitschrift |
¬A¬ duality-based optimization approach for model adaptivity in heterogeneous multiscale problems / Maier, Matthias [VerfasserIn] (Online-Ressource)
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