基于B样条插值的瞬变电磁响应一维精确计算
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邢涛, 王垚, 李建慧
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One-dimensional accurate calculation of transient electromagnetic responses based on B-spline interpolation
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XING Tao, WANG Yao, LI Jian-Hui
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表4 垂直磁偶源位于1 Ω·m均匀半空间时不同插值算法产生的最大相对误差
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Table 4 Maximum relative error of different interpolation algorithms for a vertical magnetic dipole source in a 1 Ω·m uniform half-space
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| 插值算法 | 最大相对误差/% | | 4频点 | 5频点 | 6频点 | 7频点 | 8频点 | 9频点 | | 传统三次样条 | 4.85 | 3.49 | 2.63 | 1.37 | 2.35×10-1 | 3.78×10-1 | | 三次B样条 | 1.08×102 | 4.13 | 2.32 | 1.54 | 4.11×10-1 | 3.30×10-1 | | 四次B样条 | 3.87 | 1.32×102 | 8.80 | 6.70×10-1 | 1.80×10-1 | 9.19×10-2 | | 五次B样条 | 3.60 | 4.80×10-1 | 2.02×10-1 | 1.45×10-1 | 8.59×10-2 | 5.62×10-1 | | 六次B样条 | 6.46×102 | 8.81 | 1.80×10-1 | 6.33×10-2 | 8.03×10-3 | 9.17×10-3 | | 七次B样条 | 8.70 | 3.74×10-1 | 1.72×101 | 1.62×10-1 | 6.13×10-3 | 3.09×10-3 | | 八次B样条 | 4.44×101 | 6.69 | 3.85×10-2 | 7.31×10-3 | 8.12×10-1 | 3.63×10-3 | | 九次B样条 | 8.02×101 | 1.72×10-1 | 3.32 | 3.87×10-3 | 1.65×10-3 | 2.44×10-4 |
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