Finite element mesh partitioning using neural networks

被引:24
作者
Bahreininejad, A
Topping, BHV
Khan, AI
机构
[1] Dept. of Mech. and Chem. Engineering, Heriot-Watt University, Riccarton
关键词
D O I
10.1016/0965-9978(96)00011-7
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper examines the application of neural networks to the partitioning of unstructured adaptive meshes for parallel explicit time-stepping finite element analysis. The use of the mean field annealing (MFA) technique, which is based on the mean field theory (MFT), for finding approximate solutions to the partitioning of the finite element meshes is investigated. The partitioning is based on the recursive bisection approach. The method of mapping the mesh bisection problem onto the neural network, the solution quality and the convergence times are presented. All computational studies were carried out using a single T800 transputer. Copyright (C) 1996 Civil-Comp Limited and Elsevier Science Limited
引用
收藏
页码:103 / 115
页数:13
相关论文
共 17 条
  • [1] BEALE R, 1990, NEURAL NETWORKS INTR
  • [2] A SIMPLE AND EFFICIENT AUTOMATIC FEM DOMAIN DECOMPOSER
    FARHAT, C
    [J]. COMPUTERS & STRUCTURES, 1988, 28 (05) : 579 - 602
  • [3] Hertz J., 1991, Introduction to the Theory of Neural Computation
  • [4] HOPFIELD JJ, 1985, BIOL CYBERN, V52, P141
  • [5] Kernighan B. W., 1970, Bell System Technical Journal, V49, P291
  • [6] Khan A. I., 1993, Computing Systems in Engineering, V4, P473, DOI 10.1016/0956-0521(93)90015-O
  • [7] Khan A. I., 1991, Computer Systems in Engineering, V2, P75, DOI [10.1016/0956-0521(91)90041-3, DOI 10.1016/0956-0521(91)90041-3]
  • [8] KHAN AI, 1993, NEURAL NETWORKS AND COMBINATORIAL OPTIMIZATION IN CIVIL AND STRUCTURAL ENGINEERING, P81, DOI 10.4203/ccp.16.5.1
  • [9] OPTIMIZATION BY SIMULATED ANNEALING
    KIRKPATRICK, S
    GELATT, CD
    VECCHI, MP
    [J]. SCIENCE, 1983, 220 (4598) : 671 - 680
  • [10] Peterson C., 1987, Complex Systems, V1, P995