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Mapping finite element grids onto parallel multicomputers using a self-organising map

Mapping finite element grids onto parallel multicomputers using a self-organising map

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LSOM (load-balancing self-organising map), a neural network based on Kohonen's self-organising map, is proposed for the problem of mapping finite element method (FEM) grids to distributed memory parallel computers with mesh interconnection networks. The rough global ordering produced by LSOM is combined with the local refinement Kernighan–Lin algorithm (LSOM-KL) to obtain the solution. LSOM-KL achieved a load imbalance of less than 0.1% and a low number of hops, comparable to results obtained with commonly used recursive bisection methods.

Inspec keywords: multiprocessor interconnection networks; computational complexity; finite element analysis; self-organising feature maps

Other keywords: finite element grids mapping; rough global ordering; mesh interconnection networks; recursive bisection methods; Kohonen's self-organising map; distributed memory parallel computers; parallel multicomputers; local refinement Kernighan-Lin algorithm; neural network; load imbalance; load-balancing self-organising map

Subjects: Finite element analysis; Parallel architecture; Multiprocessing systems; Neural nets (theory); Multiprocessor interconnection; Computational complexity

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