AUTOMATIC FINITE-ELEMENT MESH GENERATION USING ARTIFICIAL NEURAL NETWORKS .1. PREDICTION OF MESH DENSITY

One of the inconveniences associated with the existing finite-element packages is the need for an educated user to develop a correct mesh at the preprocessing level. Procedures which start with a coarse mesh an d attempt serious refinements, as is the case in most adaptive finite- element packages, are time consuming and costly, Hence, it is very imp ortant to develop a tool that can provide a mesh that either leads imm ediately to an acceptable solution, or would require fewer correcting steps to achieve better results, In this paper, we present a technique for automatic mesh generation based on artificial neural networks (AN N). The essence of this technique is to predict the mesh density distr ibution of a given model, and then supply this information to a Kohone n neural network ,which provides the final mesh. Prediction of mesh de nsity is accomplished by a simple feedforward neural network which has the ability to learn the relationship between mesh density and model geometric features, It will be shown that ANN are able to recognize de licate areas where a sharp variation of the magnetic field is expected , Examples of 2-D models are provided to illustrate the usefulness of the proposed technique.