Expert System for the Optimal Mesh Design in the HP-Version of the Finite Element Method

摘要

This paper suggests a simple expert system frame and provides the domain knowledge for the optimal mesh design and the prediction of the error in energy norm for the problem of plane elasticity using the hp-extension in the finite element method. The expert system monitors the progress of the analysis, guides the user through the various steps and is able to reason about its own advise. In an example the user-expert communication is shown and the superiority of the results is demonstrated. The goals are the following: 1) The input data of the user should be kept to a minimum; 2) The user should get rational support for his decisions about the mesh design; 3) The system should be able to monitor the progress of the analysis; 4) It should advise the user at each time about the next steps to be taken; 5) The system should be able do reason about its own advise; 6) The expert system frame should be separated in a problem-independent part , the inference engine and the problem dependent knowledge base; and 7) A user should be achieved for given cost.