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

dc.citation.articleNumber	A2162
dc.citation.firstpage	A2172
dc.citation.issueNumber	4
dc.citation.journalTitle	SIAM Journal on Scientific Computing
dc.citation.volumeNumber	38
dc.contributor.author	Chan, Jesse
dc.contributor.author	Warburton, T.
dc.date.accessioned	2017-02-23T16:13:25Z
dc.date.available	2017-02-23T16:13:25Z
dc.date.issued	2016
dc.description.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.
dc.identifier.citation	Chan, Jesse and Warburton, T.. "A short note on a Bernstein-Bezier basis for the pyramid." <i>SIAM Journal on Scientific Computing,</i> 38, no. 4 (2016) Society for Industrial and Applied Mathematics: A2172. http://dx.doi.org/10.1137/15M1036397.
dc.identifier.doi	http://dx.doi.org/10.1137/15M1036397
dc.identifier.uri	https://hdl.handle.net/1911/93976
dc.language.iso	eng
dc.publisher	Society for Industrial and Applied Mathematics
dc.title	A short note on a Bernstein-Bezier basis for the pyramid
dc.type	Journal article
dc.type.dcmi	Text
dc.type.publication	post-print
local.sword.agent	Converis

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