长江科学院院报2016，Vol.33Issue(2)：131-136,6.DOI:10.11988/ckyyb.20150399
基于独立覆盖的流形法的收敛性及覆盖网格特性
Characteristics of Convergence and Cover Mesh in Numerical Manifold Method Based on Independent Covers
摘要
Abstract
The scope of a numerical manifold method ( NMM) based on partially overlapping covers is narrowed to a special case based on independent covers. Convergence of the new method is discussed from two aspects: com⁃pleteness and coordination. The convergence of the method is due to the convergence of each independent cover. Results show that the size of the strips between independent covers should be small. Moreover, the cover meshes have three excellent features:arbitrary shape, arbitrary connection, and arbitrary refinement. Finally, some illus⁃trations are given to verify these “arbitrary” features, and the method can be used to greatly simplify the pre⁃pro⁃cessing of numerical analysis.关键词
数值流形方法/部分重叠覆盖/独立覆盖/收敛性/网格特性Key words
numerical manifold method ( NMM)/partially overlapping covers/independent covers/convergence/mesh features引用本文复制引用
苏海东,颉志强,龚亚琦,祁勇峰..基于独立覆盖的流形法的收敛性及覆盖网格特性[J].长江科学院院报,2016,33(2):131-136,6.基金项目
国家自然科学基金项目（51409012）；中央级公益性科研院所基本科研业务费项目 （）
