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7 圆形回线位于1 Ω·m均匀半空间时不同插值算法产生的平均误差率
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Table 7 Average error rate of different interpolation algorithms for circular loops in 1 Ω·m uniform half-space
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| 插值算法 | 平均误差率/% | | 4频点 | 5频点 | 6频点 | 7频点 | 8频点 | 9频点 | | 传统三次样条 | 6.14×10-1 | 3.23×10-1 | 2.07×10-1 | 1.26×10-1 | 1.21×10-1 | 5.65×10-2 | | 三次B样条 | 1.02 | 3.55×10-1 | 1.96×10-1 | 1.26×10-1 | 1.17×10-1 | 5.67×10-2 | | 四次B样条 | 1.45×10-1 | 2.81×10-1 | 4.03×10-2 | 2.19×10-2 | 1.70×10-2 | 7.16×10-3 | | 五次B样条 | 1.75×10-1 | 2.46×10-2 | 1.05×10-2 | 4.96×10-3 | 6.48×10-3 | 7.58×10-2 | | 六次B样条 | 2.07 | 4.60×10-2 | 4.76×10-3 | 1.42×10-3 | 7.26×10-4 | 2.12×10-4 | | 七次B样条 | 1.84×10-1 | 6.60×10-3 | 1.54×10-2 | 1.62×10-3 | 2.52×10-4 | 6.78×10-5 | | 八次B样条 | 1.15×10-1 | 3.40×10-2 | 1.22×10-3 | 2.43×10-4 | 5.44×10-2 | 3.00×10-5 | | 九次B样条 | 3.25×10-1 | 5.25×10-3 | 8.17×10-4 | 4.29×10-4 | 4.50×10-5 | 1.08×10-5 |
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