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Refinement based on longest-edge and self-similar four-triangle partitions

Author

Listed:
  • Padrón, Miguel A.
  • Suárez, José P.
  • Plaza, Ángel

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. One of these schemes is the four-triangle longest-edge (4T-LE) partition. Moreover, the four triangle self-similar (4T-SS) partition of an acute triangle yields four sub-triangles similar to the original one.

Suggested Citation

  • Padrón, Miguel A. & Suárez, José P. & Plaza, Ángel, 2007. "Refinement based on longest-edge and self-similar four-triangle partitions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(5), pages 251-262.
    • Handle: RePEc:eee:matcom:v:75:y:2007:i:5:p:251-262
    DOI: 10.1016/j.matcom.2006.12.010
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    Cited by:

    1. Márquez, Alberto & Moreno-González, Auxiliadora & Plaza, Ángel & Suárez, José P., 2014. "There are simple and robust refinements (almost) as good as Delaunay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 106(C), pages 84-94.
    2. Plaza, Ángel & Márquez, Alberto & Moreno-González, Auxiliadora & Suárez, José P., 2009. "Local refinement based on the 7-triangle longest-edge partition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(8), pages 2444-2457.

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