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    ARTICLE

    Reusing the Evaluations of Basis Functions in the Integration for Isogeometric Analysis

    Zijun Wu1, Shuting Wang2, Wenjun Shao3, *, Lianqing Yu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.2, pp. 459-485, 2020, DOI:10.32604/cmes.2020.08697 - 01 February 2020

    Abstract We propose a new approach to reuse the basis function evaluations in the numerical integration of isogeometric analysis. The concept of reusability of the basis functions is introduced according to their symmetrical, translational and proportional features on both the coarse and refined levels. Based on these features and the parametric domain regularity of each basis, we classify the bases on the original level and then reuse them on the refined level, which can reduce the time for basis calculations at integration nodes. By using the sum factorization method and the mean value theorem for the More >

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