Numerical grid generation: foundations and applications
Numerical grid generation: foundations and applications
Self-organization and associative memory: 3rd edition
Self-organization and associative memory: 3rd edition
Neural computation and self-organizing maps: an introduction
Neural computation and self-organizing maps: an introduction
Composite algorithm for adaptive mesh construction based on self-organizing maps
ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I
Parallel construction of moving adaptive meshes based on self-organization
PaCT'07 Proceedings of the 9th international conference on Parallel Computing Technologies
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The neural network approach for parallel construction of adaptive mesh on two-dimensional area is proposed. The approach is based on unsupervised learning algorithm for Kohonen's Self Organizing Map and enables to obtain an adaptive mesh being isomorphic to a rectangular uniform one. A parallel algorithm for the construction of those meshes based on master-slave programming model is presented. The main feature of the obtained mesh is that their decomposition into subdomains required for parallel simulation on this mesh is reduced to partitioning of a rectangular array of nodes. The way of partitioning may be defined based on parallel simulations on the mesh. The efficiency of the parallel realization of the proposed algorithm is about 90%.