Flexible piecewise approximations based on partition of unity
Flexible piecewise approximations based on partition of unity
复制标题
基于单位划分的灵活分段近似
DOI：
10.1007/s10444-004-1810-z
复制
发表时间：
2005
影响因子：
1.7
通讯作者：
Wing Kam Liu
中科院分区：
文献类型：
--
作者：
W. Han;Wing Kam Liu
摘要
在本文中，我们研究了一个灵活的分段逼近技术的基础上使用的思想划分的单位。近似是分段定义的，全局平滑到任何顺序，享受多项式再生条件，并满足节点插值条件的函数值和导数的任何顺序。我们提出了各种性质的近似，这是理想的性质，最佳阶收敛在解决边值问题。
Abstract
In this paper, we study a flexible piecewise approximation technique based on the use of the idea of the partition of unity. The approximations are piecewisely defined, globally smooth up to any order, enjoy polynomial reproducing conditions, and satisfy nodal interpolation conditions for function values and derivatives of any order. We present various properties of the approximations, that are desirable properties for optimal order convergence in solving boundary value problems.