Proving the non-degeneracy of the longest-edge trisection by a space of triangular shapes with hyperbolic metric
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Publication:905319
DOI10.1016/j.amc.2013.06.075zbMath1332.51009OpenAlexW2011172397MaRDI QIDQ905319
Francisco Perdomo, Ángel Plaza
Publication date: 19 January 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.075
Geometric constructions in real or complex geometry (51M15) Numerical methods for partial differential equations, boundary value problems (65N99) Numerical approximation and computational geometry (primarily algorithms) (65D99)
Related Items (5)
Properties of triangulations obtained by the longest-edge bisection ⋮ The limit property for the interior solid angles of some refinement schemes for simplicial meshes ⋮ A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection ⋮ A new proof of the degeneracy property of the longest-edge \(n\)-section refinement scheme for triangular meshes ⋮ Longest-edge \(n\)-section algorithms: properties and open problems
Cites Work
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- Local refinement of simplicial grids based on the skeleton
- Complexity of the bisection method
- Four-triangles adaptive algorithms for RTIN terrain meshes
- Mesh Refinement Processes Based on the Generalized Bisection of Simplices
- Adaptivity and mesh generation
- A Lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Side
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