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Adaptation de maillage anisotrope by Kuate-R

Adaptation de maillage anisotrope

by Kuate-R
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Book cover type: Paperback
  • ISBN13: 9786131509940
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Univ Europeenne
  • Publisher Imprint: Univ Europeenne
  • Publication Date:
  • Pages: 164
  • Original Price: GBP 48.0
  • Language: French
  • Edition: N/A
  • Item Weight: 250 grams
  • BISAC Subject(s): General

L'adaptation de maillage anisotrope consiste à modifier un maillage de manière non uniforme en espace et en direction. Son objectif principal est de trouver le maillage garantissant un meilleur critère à moindre coût pour optimiser les simulations numériques d'équations aux dérivées partielles. Cette thèse est consacrée aux études théoriques et numériques de problèmes liés à l'adaptation de maillage anisotrope: - Les métriques et estimateurs d'erreur qui permettent de spécifier la taille locale des mailles. - Les modifications locales de maillages hexaédriques conformes qui sont moins aisées qu'avec des triangulations, en raison de leur structure formée de couches. Tout découpage trivial d'un hexaèdre pouvant se propager jusqu'à la frontière. Nous mettons en oeuvre de nouveaux algorithmes et schémas numériques pour la reconstruction de dérivées secondes et troisièmes, estimateurs d'erreur d'interpolation, ainsi que la construction de métriques, généralisée aux erreurs d'interpolation d'ordre supérieur. Nous proposons de nouvelles opérations locales de raffinement/dé-raffinement de maillages hexaédriques conformes.

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