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dc.contributor.authorKorotov, Sergey
dc.contributor.authorVatne, Jon Eivind
dc.date.accessioned2022-04-05T12:11:34Z
dc.date.available2022-04-05T12:11:34Z
dc.date.created2022-02-10T12:33:48Z
dc.date.issued2021
dc.identifier.citationKorotov, S., & Vatne, J. E. (2021). Preserved Structure Constants for Red Refinements of Product Elements. In V. Garanzha, L. Kamenski & H. Si (Eds.), Numerical Geometry, Grid Generation and Scientific Computing. Proceedings of the 10th International Conference, NUMGRID 2020 / Delaunay 130, Celebrating the 130th Anniversary of Boris Delaunay, Moscow, Russia, November 2020 (pp. 241-248). Springer.en_US
dc.identifier.isbn978-3-030-76797-6
dc.identifier.urihttps://hdl.handle.net/11250/2989955
dc.descriptionThis is an Accepted Manuscript version of a book chapter published by Springer in the Lecture Notes in Computational Science and Engineering book series (LNCSE,volume 143) on 07 May 2021, available online: https://doi.org/10.1007/978-3-030-76798-3_15en_US
dc.description.abstractIn 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.isoengen_US
dc.publisherSpringeren_US
dc.relation.ispartofNumerical Geometry, Grid Generation and Scientific Computing. Proceedings of the 10th International Conference, NUMGRID 2020 / Delaunay 130, Celebrating the 130th Anniversary of Boris Delaunay, Moscow, Russia, November 2020
dc.titlePreserved Structure Constants for Red Refinements of Product Elementsen_US
dc.typeChapteren_US
dc.typePeer revieweden_US
dc.description.versionacceptedVersionen_US
dc.source.pagenumber241-248en_US
dc.source.volume143en_US
dc.source.journalLecture Notes in Computational Science and Engineeringen_US
dc.identifier.doi10.1007/978-3-030-76798-3_15
dc.identifier.cristin1999935
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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