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3 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平均误差率
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Table 3 Average error rate 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 | 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 | 1.71 | 5.59×10-1 | 3.11×10-1 | 1.82×10-1 | 5.64×10-2 | 5.69×10-2 | | 三次B样条 | 1.21×101 | 7.83×10-1 | 3.16×10-1 | 1.49×10-1 | 7.80×10-2 | 5.66×10-2 | | 四次B样条 | 4.76×10-1 | 8.95 | 7.80×10-1 | 1.03×10-1 | 2.40×10-2 | 1.42×10-2 | | 五次B样条 | 1.02 | 7.57×10-2 | 3.21×10-2 | 1.46×10-2 | 1.07×10-2 | 4.93×10-2 | | 六次B样条 | 4.31×101 | 1.08 | 3.12×10-2 | 5.84×10-3 | 1.36×10-3 | 9.76×10-4 | | 七次B样条 | 1.55 | 5.09×10-2 | 1.33 | 2.11×10-2 | 8.84×10-4 | 3.44×10-4 | | 八次B样条 | 3.54 | 8.14×10-1 | 1.09×10-2 | 1.00×10-3 | 6.33×10-2 | 4.56×10-4 | | 九次B样条 | 8.00 | 3.74×10-2 | 2.78×10-1 | 1.13×10-3 | 2.54×10-4 | 4.82×10-5 |
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