Preserved Structure Constants for Red Refinements of Product Elements

dc.contributor.author	Vatne, Jon Eivind
dc.contributor.author	Korotov, Sergey
dc.date.accessioned	2023-09-26T08:45:28Z
dc.date.available	2023-09-26T08:45:28Z
dc.date.created	2022-01-20T08:54:55Z
dc.date.issued	2021
dc.identifier.issn	1439-7358
dc.identifier.uri	https://hdl.handle.net/11250/3091957
dc.description.abstract	In this paper we discuss some strategy for red refinements of product elements and show that there are certain structure characteristics (d-sines of angles formed by certain edges in the initial partition) which remain constant during refinement processes. Such a property immediately implies the validity of the so-called maximum angle condition, which is a strongly desired property in interpolation theory and finite element analysis. Our construction also gives a clear refinement scheme preserving shape regularity.	en_US
dc.language.iso	eng	en_US
dc.publisher	Springer	en_US
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no	*
dc.title	Preserved Structure Constants for Red Refinements of Product Elements	en_US
dc.type	Journal article	en_US
dc.type	Peer reviewed	en_US
dc.description.version	acceptedVersion	en_US
dc.source.pagenumber	241–248	en_US
dc.source.volume	143	en_US
dc.source.journal	Lecture Notes in Computational Science and Engineering	en_US
dc.identifier.doi	10.1007/978-3-030-76798-3_15
dc.identifier.cristin	1985624
cristin.ispublished	true
cristin.fulltext	postprint
cristin.qualitycode	1

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