The 8T-LE partition applied to the obtuse triangulations of the 3D-cube

Título:	The 8T-LE partition applied to the obtuse triangulations of the 3D-cube
Autores/as:	Padrón Medina, Miguel Ángel Plaza De La Hoz, Ángel
Clasificación UNESCO:	1206 Análisis numérico 120602 Ecuaciones diferenciales 120309 Diseño con ayuda del ordenador
Palabras clave:	Similarity classes 8-tetrahedra longest-edge partition Trirectangular tetrahedron Right-type tetrahedron Quasi-right-type tetrahedron
Fecha de publicación:	2020
Proyectos:	Métodos de Mallas Para la Representación Del Impacto Visual de Instalaciones Energéticas en Entornos de Realidad Virtual y Aumentada
Publicación seriada:	Mathematics and Computers in Simulation
Resumen:	Four of the six types of the regular triangulations of the 3D-cube, up to isomorphism, are obtuse. We study the eight-tetrahedra longest-edge partition (8T-LE) of the triangulations of the cube containing two regular right-type tetrahedra, two regular trirectangular tetrahedra and two quasi right-type tetrahedra. We prove that the iterative 8T-LE partition of these triangulations yields a sequence of triangulations where the number of similarity classes is bounded, and hence the non-degeneracy of the meshes is simply proved. It is also proved that asymptotically, most of the tetrahedra generated are regular right-type.
URI:	http://hdl.handle.net/10553/73438
ISSN:	0378-4754
DOI:	10.1016/j.matcom.2020.01.011
Fuente:	Mathematics and Computers in Simulation [ISSN 0378-4754], v. 176, p. 254-265, (Octubre 2020)
Colección:	Artículos

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