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8 圆形回线位于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 8 Maximum relative error of different interpolation algorithms for circular loops in 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 | 1.88 | 9.94×10-1 | 6.83×10-1 | 4.15×10-1 | 5.90×10-1 | 2.82×10-1 | | 三次B样条 | 5.34 | 1.03 | 7.21×10-1 | 4.86×10-1 | 5.75×10-1 | 2.50×10-1 | | 四次B样条 | 3.57×10-1 | 3.29 | 1.09×10-1 | 5.52×10-2 | 6.24×10-2 | 3.16×10-2 | | 五次B样条 | 6.67×10-1 | 5.16×10-2 | 2.52×10-2 | 1.02×10-2 | 6.00×10-2 | 8.42×10-1 | | 六次B样条 | 2.65×101 | 3.43×10-1 | 1.40×10-2 | 2.55×10-3 | 2.22×10-3 | 9.95×10-4 | | 七次B样条 | 1.16 | 2.72×10-2 | 1.81×10-1 | 1.07×10-2 | 5.10×10-4 | 2.07×10-4 | | 八次B样条 | 1.15 | 2.93×10-1 | 7.41×10-3 | 1.08×10-3 | 6.67×10-1 | 8.09×10-5 | | 九次B样条 | 3.41 | 3.01×10-2 | 5.73×10-3 | 1.91×10-3 | 1.64×10-4 | 3.27×10-5 |
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