A New Error Assessment Method in Isogeometric Analysis of 2D Heat Conduction Problems

Gang Xu 1, 2 Bernard Mourrain 1 Régis Duvigneau 3 André Galligo 1
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
3 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
Abstract : In this paper, we propose a new error assessment method for isogeometric analysis of 2D heat conduction problems. The posteriori error estimation is obtained by resolving the isogeometric analysis problem with several k -refinement steps. The main feature of the proposed method is that the resulted error estimation surface has a B-spline form, according to the main idea of isogeometric analysis. Though the error estimation method is expensive, it can be used as an error assessment method for isogeometric analysis. Two comparison examples are presented to show the efficiency of the proposed method.
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Submitted on : Wednesday, October 17, 2012 - 5:00:02 PM
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Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. A New Error Assessment Method in Isogeometric Analysis of 2D Heat Conduction Problems. Advanced Science Letters, American Scientific Publishers, 2012, 10 (1), pp.508-512. ⟨10.1166/asl.2012.3321⟩. ⟨hal-00742955⟩

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