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

Numerical Analysis 2015-08-25 v1

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 non-polynomial pyramid bases in the literature.

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@article{arxiv.1508.05609,
  title  = {A short note on a Bernstein-Bezier basis for the pyramid},
  author = {Jesse Chan and T. Warburton},
  journal= {arXiv preprint arXiv:1508.05609},
  year   = {2015}
}

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