DocumentCode :
3496512
Title :
Neuro-fuzzy finite element method and a posteriori error estimation
Author :
Ichihashi, Hidetomo ; Miyoshi, Tetsuya ; Nagasaka, Kazunori ; Satoh, Yoshihiro
Author_Institution :
Dept. of Ind. Eng., Osaka Prefecture Univ., Sakai, Japan
Volume :
4
fYear :
1995
fDate :
20-24 Mar 1995
Firstpage :
2335
Abstract :
In this paper, we propose a neuro-fuzzy finite element method with an iterative learning scheme, as an application of Gaussian radial basis function (RBF) networks, in which the finite elements are fuzzy subsets defined by Gaussian membership functions. For almost all problems in practical engineering where FEM is applied, analytical solutions are not obtained. Since the finite element concept is based on the discretization of a continuum, the subject of developing reliable a posteriori error estimates is central to the effective use of FEM. In the FEM some error estimators which are reasonably accurate and useful in the existing problem have been proposed. The approximate solutions of neuro-fuzzy FEM also need some tools for error estimation. Hence, we propose a method of error estimation based on the same iterative learning scheme. Illustrative examples of solving Laplace equations are shown with the computational results of approximate solutions and estimated errors by using the proposed methods
Keywords :
error analysis; feedforward neural nets; finite element analysis; fuzzy set theory; iterative methods; learning (artificial intelligence); partial differential equations; Gaussian membership functions; Gaussian radial basis function networks; Laplace equations; discretization; error estimation; fuzzy subsets; iterative learning; neuro-fuzzy finite element method; Boundary conditions; Character recognition; Educational institutions; Error analysis; Finite element methods; Industrial engineering; Iterative methods; Partial differential equations; Radial basis function networks; Speech recognition;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int
Conference_Location :
Yokohama
Print_ISBN :
0-7803-2461-7
Type :
conf
DOI :
10.1109/FUZZY.1995.410004
Filename :
410004
Link To Document :
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