Spline Spaces over Quadrangle Meshes with Complex Topologies - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2014

Spline Spaces over Quadrangle Meshes with Complex Topologies

Meng Wu
  • Fonction : Auteur
  • PersonId : 953441
Bernard Mourrain
André Galligo
  • Fonction : Auteur
  • PersonId : 835184

Résumé

We present a new type of spline functions defined over a quadrangular mesh equipped with an equivalence relation, in such a way that physical spaces with a complex topology can be represented as an homomorphic image of such meshes. We provide general definitions, a dimension formula for a subclass of these spline spaces, an explicit construction of their bases and also a process for local refinement. These developments, motivated by plane curvilinear mesh constructions are illustrated on several parametrization problems. Our main target in these constructions is to approximate isobaric lines of magnetic fields encountered in MHD simulation for Tokamaks. Their particularity is that one of the isobaric curve has a node singularity.
Fichier principal
Vignette du fichier
paper.pdf (740.45 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00952455 , version 1 (28-02-2014)

Identifiants

  • HAL Id : hal-00952455 , version 1

Citer

Meng Wu, Bernard Mourrain, André Galligo, Boniface Nkonga. Spline Spaces over Quadrangle Meshes with Complex Topologies. 2014. ⟨hal-00952455⟩
231 Consultations
204 Téléchargements

Partager

Gmail Facebook X LinkedIn More