A new method based on SOM network to generate coarse meshes for overlapping unstructured multigrid algorithm

A new method to generate coarse meshes for overlapping unstructured multigrid algorithm based on self-organizing map (SOM) neural network is presented in this paper. The application of SOM neural network can overcome some limitations of conventional methods and which is designed to pursuit the best...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 140; no. 2; pp. 353 - 360
Main Authors: Lu, Hong-qiang, Wu, Yi-zhao, Chen, Song-can
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 10.08.2003
Elsevier
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Low-reynolds-number (creeping) flows
Mathematical analysis
Mathematics
Mesh generation
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Optimization
Overlapping unstructured multigrid
Physics
Sciences and techniques of general use
SOM network
SOM network
Overlapping unstructured multigrid
Optimization
Mesh generation
Convergence of numerical methods
Three-dimensional calculations
Grid pattern
Fluid dynamics
Numerical method
Overlap
Window function
Grids
Finite element method
Selforganizing map
Algorithms
Self organization
Multigrid
Neural networks
Two-dimensional calculations
Mesh method
Learning algorithm
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:A new method to generate coarse meshes for overlapping unstructured multigrid algorithm based on self-organizing map (SOM) neural network is presented in this paper. The application of SOM neural network can overcome some limitations of conventional methods and which is designed to pursuit the best structure relation between fine and coarse unstructured meshes with the object to ensure robust convergence for overlapping unstructured multigrid algorithm. Besides, this method can automate the generation of unstructured meshes and is suitable for both two and three dimensions conditions.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00232-1