Article
The seven-triangle longest-side partition of triangles and mesh quality improvement
Author/s | Márquez Pérez, Alberto
Moreno González, Auxiliadora Plaza, Ángel Suárez, José P. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2008 |
Deposit Date | 2021-06-16 |
Published in |
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Abstract | A new triangle partition, the seven-triangle longest-edge partition, based on the trisection of the edges
is presented and the associated mesh quality improvement property, discussed. The seven-triangle
longest-edge ... A new triangle partition, the seven-triangle longest-edge partition, based on the trisection of the edges is presented and the associated mesh quality improvement property, discussed. The seven-triangle longest-edge (7T-LE) partition of a triangle t is obtained by putting two equally spaced points per edge. After cutting off three triangles at the corners, the remaining hexagon is subdivided further by joining each point of the longest-edge of t to the base points of the opposite sub-triangle. Finally, the interior quadrangle is subdivided into two sub-triangles by the shortest diagonal. The self-improvement property of the 7T-LE partition is discussed, delimited and compared to the parallel property of the four-triangle longest-edge (4T-LE) partition. Global refinement strategies, combining longest-edge with self-similar partitions, are proposed, based on the theoretical geometrical properties. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | MTM2005-08441-C02-02 |
Citation | Márquez Pérez, A., Moreno González, A., Plaza, Á. y Suárez, J.P. (2008). The seven-triangle longest-side partition of triangles and mesh quality improvement. Finite Elements In Analysis And Design, 44 (12/13), 748-758. |
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