Preserved Structure Constants for Red Refinements of Product Elements
Chapter, Peer reviewed
Accepted version
Permanent lenke
https://hdl.handle.net/11250/2989955Utgivelsesdato
2021Metadata
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Originalversjon
Korotov, 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. 10.1007/978-3-030-76798-3_15Sammendrag
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.
Beskrivelse
This 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_15