On the application of Hopfield neural network in finite element analysis

In this paper, the application of neural networks technique particularly the Hopfield Neural Network in ordinary finite element analysis is presented. Due to its main property of minimizing the energy stored in the network, the Hopfield Neural Network can easily find application in finite element analysis. Two specific applications of the Hopfield Neural Network will be discussed : First, for obtaining the solution of finite elements analysis directly, and second, for obtaining the solution of inverse optimization problems also in onnection wuth finite elements analyses, The main and some basic mathematical calculus, as far as some examples of the applications, are also presented