DIRECT SOLUTION METHOD FOR FINITE-ELEMENT ANALYSIS USING HOPFIELD NEURAL-NETWORK

被引:15
作者
YAMASHITA, H
KOWATA, N
CINGOSKI, V
KANEDA, K
机构
[1] Hiroshima Univ, Higashi-hiroshima, Japan
关键词
Electromagnetic field theory;
D O I
10.1109/20.376426
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
One property of the Hopfield neural network is the monotonous minimization of energy as time proceeds. In this paper, this property is applied to minimize the energy functional obtained by ordinary finite element analysis. The mathematical representation and correlation between finite element and neural network calculus are presented. The selection of the sigmoid function and its influence on the iteration process is discussed. The obtained results using the proposed method show excellent agreement with theoretical solutions.
引用
收藏
页码:1964 / 1967
页数:4
相关论文
共 6 条
[1]  
Hopfield J.J., Neural networks and physical systems with emergent collective computational abilities, Proc. Nat. Acad. Sci. USA, 79, pp. 2554-2558, (1982)
[2]  
Ahn C.H., Lee S.S., Lee H.J., Lee S.Y., A self-organizing neural network approach for automatic mesh generation, IEEE Trans. Magn., 27, 5, pp. 4201-4204, (1991)
[3]  
Dyck D.N., Lowther D.A., McFee S., Determining an approximate finite element mesh density using neural network techniques, IEEE. Trans. Magn., 28, 2, pp. 1767-1770, (1992)
[4]  
Lowther D.A., Dyck D.N., A density driven mesh generator guided by a neural network, IEEE Trans. Magn., 29, 2, pp. 1927-1930, (1993)
[5]  
Mohammed O.A., Merchant R.S., Uler F.G., Utilizing Hopfield neural networks and an improved simulated annealing procedure for design optimization of electromagnetic devices, IEEE Trans. Magn., 29, 6, pp. 2404-2406, (1993)
[6]  
Hoole S.R.H., Artificial neural network in the solution of inverse electromagnetic field problems, IEEE Trans. Magn., 29, 2, pp. 1931-1934, (1993)