Efficient FEM calculation with predefined precision through automatic grid refinement

This paper presents an efficient FE technique based on an automatic local mesh refinement. The solution is calculated with a predefined precision chosen by the user. The precision can be guaranteed for different mechanical variables like displacement, stress, energy density or energy as error indicators for these variables are defined. This paper shows the independence of the solution with respect to the criteria and the initial mesh. Results on the precision of the solution and the efficiency of the method, in terms of computing time, are also given. Three linear elastic examples illustrate the method.