有限元网格图形的自动生成及细化是进行有限元计算的一个重要环节，它直接关系到运算的速度和准确性。该文采用“分形”理论建立了有限元网格图形自动生成中的细化递推模型，它不同于传统的网格自动生成中的“树”理论，而是采用了“分形”过程中的自相似性。它具有运算速度快，内存占用少的特点，尤其适用于有限元分析过程中的前处理。这种方法不仅适用于二维系统的有限元分析，同时也可推广到三维系统 The automatic generation and refinement of finite element mesh graphics is an important part of finite element calculation, which is directly related to the speed and accuracy of the computation. This paper uses the fractal theory to establish the refined recursive model in the finite element mesh graph automatic generation. It is different from the traditional “tree” theory in grid automatic generation, but uses the “fractal” Self-similarity. It has a fast computing speed, memory footprint less features, especially for finite element analysis process pretreatment. This method not only applies to the two-dimensional system of finite element analysis, but also can be extended to three-dimensional system