流形方法的矩形覆盖系统及其全自动生成算法

作者在流形方法里采用矩形作为数学覆盖，从另一角度提出了一种不同于有限元法的数值分析方法。该方法结构简单，不需要准备单元和结点数据，数据输入量少，能够很方便地实现与CAD技术的一体化。文中详细地讨论了使用矩形网格的流行方法的理论和实施技术，并给出了其矩形覆盖系统的全自动生成算法。算例结果表明，理论和方法是正确、有效的。

Rectangular Cover System of Manifold Method and Its Auto Mesh Algorithm

In contrast to the finite element method, another form of numerical method which is based on the using of rectangular math covers in manifold method is proposed. In this method, the element data is not a necessary in the input data files and it can be incorporated with the CAD technology conveniently. The theory and application of the method are discussed and the auto mesh algorithm of the cover system is also given in this paper. The numerical examples indicate that the method and the algorithm are accurate and effective.