在微分几何学中，单位分解是一种特殊的开覆盖，指微分流形上的一种开覆盖。在微分拓扑学中，单位分解是一种连续函数族。在流形上的微积分中，单位分解是流形上的函数集，其和为1。
中文模板 Key words: hierarchical implicit surface; level of detail; adaptability; partition of unity [gap=225]关键词: 层次隐式曲面;层次细节模型;自适应;单位分解
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... 模的拆解 resolution of a module 单位分解 resolution of identity 算子的分解 resolution of operator ...
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单位分解法 Partition of Unity Method ; PUM ; Partition of unity
从属单位分解 subordinate partition of unity
单位分解有限元法 PUFEM ; Partition of Unity finite element Method
单位分解积分 partition of unity integration
单位分解有限元 PUFEM
单位分解方法 partition of unity method
连续单位分解 continuous partition of unity
单位变换的复分解 complex resolution of the identity
单位的分解 [数] resolution of unit
The method forms the shape function by the partition of unity and finite cover technology, so the shape functions cannot be effected by discontinuous in the domain. And dynamic fracture mechanics problems can be solved well.
该方法利用单位分解法和有限覆盖建立节点形函数，使形函数的建立不受域内不连续的影响，方便了动态断裂力学问题的求解。
参考来源 - 断续节理岩体的无风格流形方法和实验研究·2,447,543篇论文数据，部分数据来源于NoteExpress
第2和第3节分别简要介绍单位分解法和水平集法；
The partition of unity method (PUM) and Level Set Method (LSM) are briefly introduced in sections 2 and 3, respectively.
使用单位分解积分，对传统的无单元伽辽金方法进行改进。
The element-free Galerkin method(EFGM) is improved with partition of unity quadrature(PUQ).
该方法基于单位分解(PU)框架，定义了带分析信息的增强覆盖函数，建立场量函数的近似公式表达。
Under the framework of partition of unit (PU) in the method, enrichment cover functions with the known analyzed information were defined, and the formulation of approximate field function was built.
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