A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection

Author:

Perdomo Francisco,Plaza Ángel,Quevedo Eduardo,Suárez José P.

Funder

CICYT

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference28 articles.

1. On the bisection method for triangles;Adler;Math. Comp.,1983

2. Complexity of bisection method;Gutiérrez;Theoret. Comput. Sci.,2007

3. On global and local mesh refinements by a generalized conforming bisection algorithm;Hannukainen;J. Comput. Appl. Math.,2010

4. Hyperbolic Geometry;Iversen,1992

5. Adaptive refinement of unstructured finite-element meshes;Jones;Finite Elem. Anal. Des.,1997

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1. Longest-edgen-section algorithms: Properties and open problems;Journal of Computational and Applied Mathematics;2016-02

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