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

Jesse Chan, T. Warburton

2015
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arXiv
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pre-print

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 Bernstein pyramid space *is* identical to the pyramid space of Bergot, Cohen, Durufle [5] . *Proof*. ...
*Proof*. Since each component of the Bernstein pyramid basis *is* pointwise positive on the cube, the basis *is* pointwise positive over the pyramid. ...

arXiv:1508.05609v1
fatcat:57762xhbfbhl7lgmqr5qemw3tm