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Title: Two-sided estimation of diameters reduction rate for the longest edge n-section of triangles with n ≥ 4
Authors: Suárez, José P. 
Moreno, Tania
Plaza, Ángel 
Abad, Pilar 
UNESCO Clasification: 120603 Análisis de errores
Keywords: Triangular mesh
Longest edge
Mesh refinement
Issue Date: 2013
Journal: Applied Mathematics and Computation 
Abstract: In this work we study the diameters reduction rate for the iterative application of the longest edge (LE) n-section of triangles for n⩾4. The maximum diameter dkn of all triangles generated at the kth iteration of the LE n-section is closely connected with the properties of the triangular mesh generated by this refinement scheme. The upper and the lower bounds for dk2 were proved by Kearfott in [9] and for dk3 by Plaza et al. [12]. Here, we derive the two-sided estimates for dkn with n⩾4.
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.08.041
Source: Applied Mathematics and Computation [ISSN 0096-3003], v. 224, p. 492-500
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