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

Gang Xu | Zendy; Bernard Mourrain | Zendy; Régis Duvigneau | Zendy; André Galligo | Zendy

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

Author(s) -

Gang Xu,

Bernard Mourrain,

Régis Duvigneau,

André Galligo

Publication year - 2012

Publication title -

advanced science letters

Language(s) - English

Resource type - Journals

eISSN - 1936-7317

pISSN - 1936-6612

DOI - 10.1166/asl.2012.3321

Subject(s) - isogeometric analysis , a priori and a posteriori , error analysis , computer science , thermal conduction , approximation error , spline (mechanical) , feature (linguistics) , mathematical optimization , mathematics , algorithm , finite element method , materials science , structural engineering , engineering , composite material , philosophy , linguistics , epistemology

International audienceIn 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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