A parallel method based on the: hopfield neural network for the solution of the finite elements method equations

摘要

The Hopfield neural network is applied to the solution of linear systems of equitions obtainid by the Finite Element Analysis. The selection of the form of the neurons' activation function is very crucial for the success of the proposed method. A method for the selection of the parameters describing a sigmoid activation function is proposed. Finally the hopfield neural network is applied to an eddy current problem where the linear system of equations is complex.