Simplicial vertex-normal duality with applications to well-centered simplices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00499410" target="_blank" >RIV/67985840:_____/19:00499410 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-96415-7_71" target="_blank" >http://dx.doi.org/10.1007/978-3-319-96415-7_71</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-96415-7_71" target="_blank" >10.1007/978-3-319-96415-7_71</a>

Result language
angličtina
Original language name
Simplicial vertex-normal duality with applications to well-centered simplices
Original language description
We study the relation between the set of n + 1 vertices of an n-simplex S having S n−1 as circumsphere, and the set of n + 1 unit outward normals to the facets of S. These normals can in turn be interpreted as the vertices of another simplex S^ that has S n−1 as circumsphere. We consider the iterative application of the map tha takes the simplex S to S^, study its convergence properties, and in particular investigate its fixed points. We will also prove some statements about well-centered simplices in the above context.
Czech name
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Czech description
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Project
<a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Numerical Mathematics and Advanced Applications ENUMATH 2017
ISBN
978-3-319-96414-0
ISSN
1439-7358
e-ISSN
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Number of pages
8
Pages from-to
761-768
Publisher name
Springer
Place of publication
Cham
Event location
Voss
Event date
Sep 25, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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