Skip to Main content Skip to Navigation
New interface
Reports (Research report)

Hierarchical Optimization in Isogeometric Analysis : Application to Thermal Conduction

Louis Blanchard 1 Régis Duvigneau 1 Gang Xu 2 Bernard Mourrain 2 
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
2 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (1965 - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : A multi-level parametrization approach for a shape optimization problem is developed in the framework of Isogeometric Analysis for a thermal conduction problem. The Isogeometric Analysis approach proposed by T. Hughes, consists in integrating Finite Element Analysis (FEA) into conventional Computational Aided Design (CAD) tools using a single software entity. We propose two multi-levels parametrization strategies to improve the convergence rate of a thermal conduction optimization problem. Some numerical experiments are carried out using a two dimensional test-case, to demonstrate the efficiency of the proposed strategies.
Document type :
Reports (Research report)
Complete list of metadata

Cited literature [7 references]  Display  Hide  Download
Contributor : Régis Duvigneau Connect in order to contact the contributor
Submitted on : Thursday, December 2, 2010 - 10:36:10 AM
Last modification on : Wednesday, October 26, 2022 - 8:16:09 AM
Long-term archiving on: : Monday, November 5, 2012 - 11:11:03 AM


Files produced by the author(s)


  • HAL Id : inria-00542271, version 1


Louis Blanchard, Régis Duvigneau, Gang Xu, Bernard Mourrain. Hierarchical Optimization in Isogeometric Analysis : Application to Thermal Conduction. [Research Report] RR-7470, INRIA. 2010. ⟨inria-00542271⟩



Record views


Files downloads