Title	Exact smooth piecewise polynomial sequences on Alfeld splits
Creator	Neilan, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-08-02T16:19
Description	We develop exact polynomial sequences on Alfeld splits in any spatial dimension and for any polynomial degree. An Alfeld split of a tetrahedron is obtained by connecting the vertices of an $n$-simplex with its barycenter. We show that, on these triangulations, the kernel of the exterior derivative has enhanced smoothness. Byproducts of this theory include characterizations of discrete divergence-free subspaces for the Stokes problem, commutative projections, and simple formulas for the dimensions of smooth polynomial spaces. This is joint work with Guosheng Fu and Johnny GuzmÃ¡n.
Extent	37.0
Subject	Mathematics; Numerical analysis; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Pittsburgh
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377035
URI	http://hdl.handle.net/2429/68848
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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