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  • Weighted quadrature for hierarchical B-splines
    Giannelli, Carlotta, 1980- ...
    We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded hierarchical ... meshes. By exploiting a local tensor product structure, we extend the construction of weighted rules from the tensor product to the hierarchical spline setting. The proposed algorithm has a computational cost proportional to the number of degrees of freedom and advantageous properties with increasing spline degree. To illustrate the performance of the method and confirm the theoretical estimates, a selection of 2D and 3D numerical tests is provided.
    Source: Computer methods in applied mechanics and engineering. - ISSN 0045-7825 (Vol. 400, [article no.] 115465, Oct. 2022, 24 str.)
    Type of material - article, component part ; adult, serious
    Publish date - 2022
    Language - english
    COBISS.SI-ID - 178708995

    Link(s):

    https://www.sciencedirect.com/science/article/pii/S0045782522004960
    DOI

source: Computer methods in applied mechanics and engineering. - ISSN 0045-7825 (Vol. 400, [article no.] 115465, Oct. 2022, 24 str.)
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