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1 垂直磁偶源位于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 1 Average error rate of different interpolation algorithms for a vertical magnetic dipole source in a 1000 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 | 9.08×10-1 | 5.27×10-1 | 3.75×10-1 | 2.60×10-1 | 3.21×10-1 | 2.19×10-1 | | 三次B样条 | 9.11×10-1 | 5.54×10-1 | 3.68×10-1 | 2.70×10-1 | 3.10×10-1 | 2.17×10-1 | | 四次B样条 | 7.20×10-1 | 4.02×103 | 1.50×102 | 1.00×101 | 6.22×10-2 | 3.01×10-2 | | 五次B样条 | 6.53×10-2 | 2.74×10-2 | 1.28×10-2 | 3.70×10-2 | 5.71 | 6.31×101 | | 六次B样条 | 1.03×103 | 5.61×10-1 | 4.46×10-3 | 2.03×10-3 | 1.65×10-3 | 1.29×10-3 | | 七次B样条 | 1.53×10-2 | 4.22×10-3 | 2.65×102 | 1.15 | 3.47×10-4 | 3.64×10-4 | | 八次B样条 | 4.03×101 | 1.26 | 9.43×10-4 | 2.16×10-2 | 1.08×103 | 1.53 | | 九次B样条 | 4.13 | 1.81×10-3 | 2.57×101 | 3.72×10-3 | 2.52×10-4 | 2.89×10-4 |
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