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Mesh Generation using Genetic Algorithms

Authors: Cuesta, P.; Montero, G.; Galan, M.; Winter, G.;

Mesh Generation using Genetic Algorithms

Abstract

In this paper, a process of triangular meshes optimization employing genetic algorithms is proposed. From a given mesh, it is built a new one such that a fitness function is minimized taking into account the distribution of the error indicators which provides information about the density of the mesh, and some geometrical conditions that allow to keep the quality of the triangles. Obviously, here the main goal is to apply the genetic algorithms in those functions for which other techniques of optimization, is spite of being faster, do not allow to reach the best solution. The nodes control is got by binary codes, assuming that they are equivalent to chromosomes of a population. Then, the selection, crossover and mutation between parent chromosomes lead to a new population and so on, until the approximate solution of the global optimum is found. An analysis of the parameters values of reproduction, crossover and mutation probabilities and size of the population must be done to obtain a robust algorithm. Some test applications of adaptive meshes built by using the technique proposed here, are presented and discussed, referring numerical results with other meshes generators.

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Keywords

1206 Análisis numérico, 120601 Construcción de algoritmos

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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