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本文讨论了与有限元素法代数计算和几何计算有关的、用电子计算机快速地把平面区域剖分为三角形元素的问题.本文从两个方面改进了Zienkiewicz和林泰道提出并发展的块组合法.第一,把广义四边形块拓广为各边皆允许为折线的“四边块” 或“三边块”;第二,改变了处理三角形元素从疏到密过渡时采用的“虚点” 配置方式.由于作了这样的改进,使得“块”的剖分可以比较任意,因此,减少了预剖分的块数和输入的数据;同时使最后得到的三角形元素网格剖分疏密过渡自然,从而既减少了工作量又提高了剖分的质量.
In this paper, we discuss the problem of using computer to divide plane area into triangle elements, which is related to algebraic calculation and geometric calculation of finite element method.This paper improves the block combination method proposed and developed by Zienkiewicz and Lin Tietao from two aspects. First, to extend the generalized quadrilateral blocks to “four-sided blocks” or “three-sides blocks” that are allowed to be polygons on all sides; secondly, to change the “virtual point” configuration used to process the triangular elements from the thin to the dense As a result of this improvement, the “block” can be divided arbitrarily, so the number of blocks and the input data of the predivision are reduced. At the same time, the mesh of the finally obtained triangular element is sparsely and naturally transferred, This not only reduces the workload but also improves the quality of the subdivision.