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
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
integrals, a new integration method… More >
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