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B. Pichler, H.A. Mang:
"Parameter Identification Based on First Order Approximation Neural Networks";
PAMM - Proceedings in Applied Mathematics and Mechanics, 2 (2003), 1; 440 - 441.

Constitutive models for structural analyses contain material parameters. Usually not all of them can be determined a priori with sufficient accuracy. They must be set such that numerical results agree with available measurements as well as possible. Hence, an inverse problem must be solved. In order to keep the number of the required numerical calculations for parameter identification as small as possible, back analyses are performed iteratively. In each iteration step, a backpropagation artificial neural network (BPANN) is trained to approximate results of already performed numerical analyses. In this paper the classical zero-order training algorithm is extended in order to obtain first-order approximation neural networks. Based on the trained BPANN, a prognosis of optimal parameters can be obtained.

Keywords: First Order Approximation, Genetic Algorithm, Inverse Problem, Neural Network, Parameter Identification

http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC04403035

http://dx.doi.org/10.1002/pamm.200310204