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, 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.
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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⟩

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