A finite-element mesh generator based on growing neural networks

IEEE Transactions on Neural Networks

Volumn 13, Issue 6, 2002, Pages 1482-1496

  Triantafyllidis, Dimitris G ^a   Labridis, Dimitris P ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Automatic mesh generation; Best matching unit location; Finite element method (FEM); Let it grow (LIG) neural networks; Mesh density prediction

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; PROBABILITY DISTRIBUTIONS; VECTORS;

MESH GENERATORS;

NEURAL NETWORKS;

EID: 0036856969     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2002.804223     Document Type: Article

References (22)

1. Z.J. Cendes and D.N. Shenton, "Adaptive mesh refinement in the finite element computation of magnetic fields," IEEE Trans. Magn., vol. 21, pp. 1811-1816, Sept. 1985.
2. N.A. Golias and T.D. Tsiboukis, "An approach to refining three-dimensional tetrahedral meshes based on Delaunay transformations," Int. J. Numer. Methods Eng., vol. 37, pp. 793-812, 1994.
3. D.N. Dyck and D.A. Lowther, "Determining an approximate finite element mesh density using neural network techniques," IEEE Trans. Magn., vol. 28, pp. 1767-1770, Mar. 1992.
4. R. Chedid and N. Najjar, "Automatic finite-element mesh generation using artificial neural networks-Part I: Prediction of mesh density," IEEE Trans. Magn., vol. 32, pp. 5173-5178, Sept. 1996.
5. D.G. Triantafyllidis and D.P. Labridis, "An automatic mesh generator for handling small features in open boundary power transmission line problems using artificial neural networks," Commun. Numer. Methods Eng., vol. 16, no. 3, pp. 177-190, Mar. 2000.
6. D.A. Lowther and D.N. Dyck, "A density driven mesh generator guided by a neural network," IEEE Trans. Magn., vol. 29, pp. 1927-1930, Mar. 1993.
7. T. Kohonen, "The self-organizing map," Proc. IEEE, vol. 78, pp. 1464-1480, Sept. 1990.
8. C.-H. Ahn et al., "A self-organizing neural network approach for automatic mesh generation," IEEE Trans. Magn., vol. 27, pp. 4201-4204, Sept. 1991.
9. B.-S. Jeong, S.-Y. Lee, and C.-H. Ahn, "Automatic mesh generator based on self-organizing finite-element tessellation for electromagnetic field problems," IEEE Trans. Magn., vol. 31, pp. 1757-1760, May 1995.
10. S. Alfonzetti et al., "Automatic mesh generation by the let-it-grow neural network," IEEE Trans. Magn., vol. 32, pp. 1349-1352, May 1996.
11. S. Alfonzetti, "A finite element mesh generator based on an adaptive neural network," IEEE Trans. Magn., vol. 34, pp. 3363-3366, Sept. 1998.
12. _, "High-quality finite element mesh generation by means of an artificial neural network," in Proc. 7th Int. IGTE Symp., 1996, pp. 177-182.
13. J.R. Shewchuk, "Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator," in Proc. 1st Workshop Appl. Comput. Geometry. Philadelphia, PA: Assoc. Comput. Machinery, May 1996, pp. 124-133.
14. L.P. Chew, "Constrained Delaunay triangulations," Algorithmica, vol. 4, pp. 97-108, 1989.
15. B. Fritzke, "Wachsende Zellstrukturen - ein selbstorganizierendes neuronales Netzwerkmodell," Ph.D. dissertation, University of Erlangen-Nürnberg, Germany, 1992.
16. N. Golias and T. Tsiboukis, "Adaptive refinement in 2-D finite element applications," Int. J. Numer. Mod., Elect. Dev. Fields, vol. 4, pp. 81-95, 1991.
17. K. Mehlhorn and S. Näher, "Algorithm design and software libraries: Recent developments in the LEDA project," in Algorithms, Software, Architectures, Information Processing. Amsterdam, The Netherlands: Elsevier, 1992, vol. 92, pp. 493-505.
18. P. Hammond and T.D. Tsiboukis, "Dual finite-element calculations for static electric and magnetic fields," Proc. Inst. Elect. Eng., pt. A, vol. 130, no. 3, pp. 105-111, 1983.
19. D.P. Labridis and P.S. Dokopoulos, "Electromagnetic forces in three-phase rigid busbars with rectangular cross-sections," IEEE Trans. Power Delivery, vol. 11, pp. 793-800, Apr. 1996.
20. D.A. Lindholm, "Automatic triangular mesh generation on surfaces of polyhedra," IEEE Trans. Magn., vol. 19, pp. 2539-2542, Nov. 1983.
21. B. Fritzke, "Growing cell structures-A self-organizing network for unsupervised and supervised learning," Neural Networks, vol. 7, no. 2, pp. 1441-1460.
22. H.W. Dommel, Electromagnetic Transients Program Reference Manual. Portland, OR: Boneville Power Administration, 1986.