An improved finite cloud method

机译：一种改进的有限云法

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摘要

Even though both the shifted and non-shifted form of the base interpolating polynomial give rise to identical interpolation functions, we observe that a shifted-form of the base interpolating polynomial is better suited for numerical implementation compared to a non-shifted form. For large point distributions, the non-shifted form of the base interpolating polynomial starts violating the consistency conditions. We introduce an improved finite cloud method which exhibits better convergence characteristics compared to our original implementation of the finite cloud method.

机译：即使基础内插多项式的偏移和非移位形式都产生相同的内插功能，我们也观察到基础内插多项式的换档形式更适合与非移位形式相比的数值实现。对于大点分布，基础内插多项式的非移位形式开始违反一致性条件。与我们的有限云方法的原始实施相比，我们介绍了一种改进的有限云方法，该方法具有更好的收敛特性。

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《MIT Conference on Computational Fluid and Solid Mechanics》|2001年||共3页
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作者
N. R. Aluru; Xiaozhong Jin;
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原文格式 PDF
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中图分类 O35-53;
关键词
Moving least-squares; Kernel approximations; Finite cloud method; Meshless techniques;

机译：移动最小二乘;内核近似;有限云法;无网格技术;

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4. An improved finite cloud method [C] . N.R. Aluru, Xiaozhong Jin MIT Conference on Computational Fluid and Solid Mechanics Vol.2 Jun 12-15, 2001 . 2001

机译：一种改进的有限云法
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An improved finite cloud method

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