Two-sided estimation of diameters reduction rate for the longest edge n-section of triangles with n >= 4

作者：Suarez Jose P^*; Moreno Tania; Plaza Angel; Abad Pilar

来源：Applied Mathematics and Computation, 2013, 224: 492-500.

DOI：10.1016/j.amc.2013.08.041

• Triangular mesh
• Longest edge
• Mesh refinement

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 d(k)(n) 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 d(k)(2) were proved by Kearfott in [9] and for d(k)(3) by Plaza et al. [12]. Here, we derive the two-sided estimates for d(k)(n) with n >= 4.

• 出版日期2013-11-1