Perotto, Simona:
Anisotropic mesh adaption: application to computational fluid dynamics
Bollettino dell'Unione Matematica Italiana Serie 8 8-B (2005), fasc. n.1, p. 145-165, Unione Matematica Italiana (English)
pdf (1.06 MB), djvu (482 Kb). | MR2122980 | Zbl 1150.65028
Sunto
In questa comunicazione vengono presentate tecniche di adattazione di griglia goal-oriented di tipo anisotropo. Punto di partenza è stata la derivazione di opportune stime di tipo anisotropo per l'errore d'interpolazione, per elementi finiti lineari a pezzi, su griglie triangolari in $2D$. Si sono quindi utilizzate tali stime d'interpolazione per generalizzare al caso anisotropo l'analisi a posteriori proposta da R. Rannacher e da R. Becker, basata su un approccio di tipo duale. In questo lavoro tale analisi a posteriori viene particolarizzata al caso di problemi ellittici, di trasporto-diffusione-reazione e al problema di Stokes. Vengono da ultimo forniti alcuni risultati numerici al fine di validare laffidabilità dellapproccio proposto
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Con il contributo del Ministero per i Beni e le Attività Culturali