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Avtometriya

2006 year, number 3

Neural Network Approach to Constructing 2D Adaptive Meshes

O. I. Nechaeva
Institute of Computational Mathematics and Mathematical Geophysics, SB RAS, Novosibirsk
E-mail: nechaeva@ssd.sscc.ru
Pages: 36-44

Abstract

A neural network approach to constructing finite-difference adaptive meshes is proposed. It is based on the learning algorithm for Kohonen self-organizing maps. An algorithm for constructing meshes illustrated by an example of 2D domains on a plane is presented. It is shown that the proposed approach allows parallel mesh construction with a more than 90 % efficiency.