|Title:||Two-sided estimation of diameters reduction rate for the longest edge n-section of triangles with n ≥ 4||Authors:||Suárez, José P.
|UNESCO Clasification:||120603 Análisis de errores||Keywords:||Triangular mesh
|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  and for dk3 by Plaza et al. . Here, we derive the two-sided estimates for dkn with n⩾4.||URI:||http://hdl.handle.net/10553/54682||ISSN:||0096-3003||DOI:||10.1016/j.amc.2013.08.041||Source:||Applied Mathematics and Computation [ISSN 0096-3003], v. 224, p. 492-500|
|Appears in Collections:||Artículos|
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