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Boundary-Mapping Parametrization in Isogeometric Analysis

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Abstract

In isogeometric analysis (IGA), parametrization is an important and difficult issue that greatly influences the numerical accuracy and efficiency of the numerical solution. One of the problems facing the parametrization in IGA is the existence of the singular points in the parametrization domain. To avoid producing singular points, boundary-mapping parametrization is given by mapping the computational domain to a polygon domain which may not be a square domain and mapping each segment of the boundary in computational domain to a corresponding boundary edge of the polygon. Two numerical examples in finite element analysis are presented to show the novel parametrization is efficient.

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Acknowledgments

The work was supported by 973 Program 2011CB302400, the National Natural Science Foundation of China (Nos. 11371341 and 11426236), and the 111 Project (No. b07033).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China

    Fang Deng, Chao Zeng & Jiansong Deng

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  1. Fang Deng
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  2. Chao Zeng
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  3. Jiansong Deng
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Correspondence to Jiansong Deng.

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Deng, F., Zeng, C. & Deng, J. Boundary-Mapping Parametrization in Isogeometric Analysis. Commun. Math. Stat. 4, 203–216 (2016). https://doi.org/10.1007/s40304-015-0082-x

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  • DOI: https://doi.org/10.1007/s40304-015-0082-x

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