inria-00394151, version 1
An Introduction to Isogeometric Analysis with Application to Thermal Conduction
N° RR-6957 (2009)
Résumé : In this report, we present a new method, namely isogeometric analysis, proposed by T. Hughes and his collaborators, whose objective is to combine Computer Aided Design (CAD) tools and Finite-Element (FE) solvers into a single software entity. This consists in replacing grids by parametric surfaces and volumes to define the integration elements used in a variational formulation. This approach allows to define a computational domain that matches exactly the geometry of the problem, whatever the number of degrees of freedom. High-order, h- and p-adaptive schemes, as well as hierarchical solving strategies can be constructed. After presenting the method and comparing with classical finite-element approach, some numerical experiments are carried out using a thermal conduction test-case.
- 1 : OPALE (INRIA Sophia Antipolis / INRIA Grenoble Rhône-Alpes)
- INRIA – CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS)
- Domaine : Informatique/Analyse numérique
- Mots-clés : Isogeometric analysis – finite-elements – thermal conduction
- Référence interne : RR-6957
- inria-00394151, version 1
- http://hal.inria.fr/inria-00394151
- oai:hal.inria.fr:inria-00394151
- Contributeur : Régis Duvigneau
- Soumis le : Mercredi 10 Juin 2009, 16:18:41
- Dernière modification le : Mercredi 10 Juin 2009, 16:32:51







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