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Title: Similarity classes generated by the 8T-LE partition applied to trirectangular tetrahedra
Authors: Padrón, Miguel A. 
Plaza, Ángel 
UNESCO Clasification: 12 Matemáticas
Keywords: 8-tetrahedra longest-edge partition
Similarity classes
Trirectangular tetrahedron
Issue Date: 2022
Project: Projecto Puente Cabildo 2018-01
Journal: Journal of Computational and Applied Mathematics 
Abstract: When the 8T-LE partition is recursively applied to any initial trirectangular tetrahedron T, only a finite number of dissimilar tetrahedra are generated. It implies the stability of the meshes. At each step of refinement the number of right-type or path tetrahedra grows, so the quality of the obtained meshes improves. The minimum angle condition and the maximum angle condition are trivially satisfied, since the number of similarity classes is finite.
ISSN: 0377-0427
DOI: 10.1016/
Source: Journal of Computational and Applied Mathematics [ISSN 0377-0427], v. 409, 114150, (Agosto 2022)
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