Multi-level finite element solutions of non-linear problems based on multiplicative and additive corrections

Owing to the difficulty for the finite element analyst to effectively employ the refined analysis model, the accurate finite element analysis is often low. Thus, it is useful to introduce an analysis procedure to improve the results obtained from a preliminary finite element solution. Such a procedure is presented in this paper. The errors existing in the original finite element solution can be grouped into two categories. One have longer period errors while the other one have shorter period errors. Multiplicative and additive correction procedures are introduced to iteratively eliminate the errors. The multiplicative and additive correction procedures are implemented using multi-level solution techniques.