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Considering the feature-based initial mesh generation and the a posteriori error estimator, a fuzzy control adaptive finite-element mesh generation method is presented. The error of potential derivative of each element is regarded as the input of fuzzy controller. Fuzzy rules and reasoning mechanism are constructed. Consequently, the size of the elements and refinement of mesh can be controlled. Applications suggest that this method has advantages such as fast convergence and reasonable element distribution, with strong adaptation.