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http://hdl.handle.net/10553/118981
| Título: | The shortest-edge duplication of triangles | Autores/as: | Padrón Medina, Miguel Ángel Perdomo, Francisco Plaza, Ángel Suárez, Jose Pablo |
Clasificación UNESCO: | 120601 Construcción de algoritmos 1210 Topología |
Palabras clave: | Triangulations Shortest edge Finite element method Triangle shape |
Fecha de publicación: | 2022 | Publicación seriada: | Mathematics | Resumen: | We introduce a new triangle transformation, the shortest-edge (SE) duplication, as a natural way of mesh derefinement suitable to those meshes obtained by iterative application of longest-edge bisection refinement. Metric properties of the SE duplication of a triangle in the region of normalised triangles endowed with the Poincare hyperbolic metric are studied. The self-improvement of this transformation is easily proven, as well as the minimum angle condition. We give a lower bound for the maximum of the smallest angles of the triangles produced by the iterative SE duplication α=π6. This bound does not depend on the shape of the initial triangle. | URI: | http://hdl.handle.net/10553/118981 | ISSN: | 2227-7390 | DOI: | 10.3390/math10193643 | Fuente: | Mathematics [ISSN 2227-7390], v. 10 (19), (october 2022) |
| Colección: | Artículos |
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