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    A short note on a Bernstein-Bezier basis for the pyramid

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    Author
    Chan, Jesse; Warburton, T.
    Date
    2016
    Abstract
    We introduce a Bernstein--Bezier basis for the pyramid, whose restriction to the face reduces to the Bernstein--Bezier basis on the triangle or quadrilateral. The basis satisfies the standard positivity and partition of unity properties common to Bernstein polynomials and spans the same space as nonpolynomial pyramid bases in the literature. Procedures for differentiation and integration of these basis functions are also discussed.
    Citation
    Chan, Jesse and Warburton, T.. "A short note on a Bernstein-Bezier basis for the pyramid." SIAM Journal on Scientific Computing, 38, no. 4 (2016) Society for Industrial and Applied Mathematics: A2172. http://dx.doi.org/10.1137/15M1036397.
    Published Version
    http://dx.doi.org/10.1137/15M1036397
    Type
    Journal article
    Publisher
    Society for Industrial and Applied Mathematics
    Citable link to this page
    https://hdl.handle.net/1911/93976
    Metadata
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    • CAAM Publications [71]
    • Faculty Publications [4988]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map