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5 圆形回线位于1 000 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 5 Average error rate of different interpolation algorithms for circular loops in 1 000 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 | 9.04×10-1 | 5.41×10-1 | 3.73×10-1 | 3.18×10-1 | 4.41×10-1 | 1.86×10-1 | | 三次B样条 | 1.41 | 9.90×10-1 | 8.59×10-1 | 7.32×10-1 | 8.65×10-1 | 7.36×10-1 | | 四次B样条 | 2.83 | 6.24×103 | 2.21×103 | 1.28×102 | 2.92 | 4.89×10-2 | | 五次B样条 | 5.75×10-2 | 2.77×10-2 | 1.59×10-2 | 4.41×10-1 | 3.23×102 | 7.69×104 | | 六次B样条 | 4.25×103 | 7.34 | 8.54×10-3 | 3.98×10-3 | 1.36×10-2 | 4.44×10-3 | | 七次B样条 | 1.99×10-2 | 1.19×10-2 | 3.45×103 | 1.54×101 | 9.40×10-3 | 4.12×10-3 | | 八次B样条 | 7.38×101 | 1.96×101 | 5.72×10-3 | 2.44×10-1 | 7.07×104 | 3.71×101 | | 九次B样条 | 6.33 | 1.29×10-2 | 4.33×102 | 4.77×10-2 | 1.32×10-2 | 5.25×10-3 |
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