多子域网格生成方法中健壮保质的型模板

把具有严格数学模型的模板法引入区域分解法中的子区域剖分环节，有效地解决了原有子区域剖分算法中标准定义过死和剖分规则过于烦琐的缺点．模板法和区域分解法结合成败的关键是型模板方案的有效性和健壮性．通过比较现有两种型模板方案，给出了选择型模板方案的一些启发性原则，用以指导建立有效的型模板方案；同时，详细分析其中较优方案中存在的退化情形并给出解决方法，建立了一套健壮且有效的型模板方案．最后通过多个几何区域的网格生成实例说明文中算法的正确性和有效性．

A Robust and Quality Guaranteed Pattern Module Scheme for Multi-subdomain Methods in Mesh Generation

A novel scheme is proposed by integrating pattern module's method based on strict mathematical model into the subdomain meshing stage of multi-subdomain methods. The scheme is capable of nicely overcoming two drawbacks of current subdomain meshing algorithms: over-rigorous subdomain definition and over-complex generation rule. To get a quality guaranteed pattern module scheme, two existing schemes are compared, and some heuristic principles are given to provide guidance. A degenerate case of the preferred scheme is analyzed in detail, and its corresponding solution is given. Then a robust and quality guaranteed pattern module scheme is constructed. Finally, meshes for several sample geometries are presented to illustrate the versatility and validity of the scheme.