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Local refinement based on the 7-triangle longest-edge partition


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Opened Access Local refinement based on the 7-triangle longest-edge partition

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Author: Plaza, Ángel
Márquez Pérez, Alberto
Moreno González, Auxiliadora
Suárez, José P.
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2009
Published in: Mathematics and Computers in Simulation, 79 (8), 2444-2457.
Document type: Article
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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