中文摘要：

分析了一种用于数值流形方法的覆盖自动剖分算法，并对其加以改进和扩充，令其能够适用于复杂的材料边界条件和具有更好的通用性．应用算例表明，改进后的算法对任意边界条件的连续和非连续问题都能够进行覆盖系统的自动剖分．

英文摘要：

An existing algorithm of automatically forming of cover system in the numerical manifold is introduced in this paper. Some improvements are presented to make the algorithm more universal and capable of complex boundary conditions. The improved algorithm proved to be effective for both continuum and discontinuity of any boundary condition in several numerical examples.