FINITE ELEMENT SOLUTIONS WITH FEEDBACK NETWORK MECHANISM THROUGH DIRECT MINIMIZATION OF ENERGY FUNCTIONALS

In this paper, a new algorithm for solving a minimization problem of the functional of a variational principle was proposed by focusing on the state transition process of the interconnected neural network. A new concept of neuron called ‘feedback neuron’ was introduced into the conventional interconnected neural network. This method was readily applied to the finite element analyses of incompressible viscous flows. Furthermore, favourable feature of the neural network for parallel platform was explored on a massively parallel computer AP1000.