Preserved Structure Constants for Red Refinements of Product Elements
Journal article, Peer reviewed
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3091957Utgivelsesdato
2021Metadata
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Originalversjon
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.