Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140120 | Mathematics and Computers in Simulation | 2009 | 14 Pages |
Abstract
The triangle longest-edge bisection constitutes an efficient scheme for refining a mesh by reducing the obtuse triangles, since the largest interior angles are subdivided. In this paper we specifically introduce a new local refinement for triangulations based on the longest-edge trisection, the 7-triangle longest-edge (7T-LE) local refinement algorithm. Each triangle to be refined is subdivided in seven sub-triangles by determining its longest edge. The conformity of the new mesh is assured by an automatic point insertion criterion using the oriented 1-skeleton graph of the triangulation and three partial division patterns.
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Authors
Ángel Plaza, Alberto Márquez, Auxiliadora Moreno-González, José P. Suárez,