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2 垂直磁偶源位于1000 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 2 Maximum relative error 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 | 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 | 1.81 | 1.09 | 7.24×10-1 | 4.57×10-1 | 6.98×10-1 | 8.82×10-1 | | 三次B样条 | 1.93 | 1.06 | 6.89×10-1 | 5.50×10-1 | 6.66×10-1 | 9.21×10-1 | | 四次B样条 | 1.38 | 2.60×104 | 1.59×103 | 1.12×102 | 6.56×10-1 | 1.26×10-1 | | 五次B样条 | 1.31×10-1 | 5.60×10-2 | 2.50×10-2 | 1.01×10-1 | 2.17×101 | 5.25×102 | | 六次B样条 | 5.19×103 | 7.74 | 3.39×10-2 | 1.17×10-2 | 9.84×10-3 | 6.47×10-3 | | 七次B样条 | 9.31×10-2 | 1.08×10-2 | 2.36×103 | 1.35×101 | 1.62×10-3 | 1.81×10-3 | | 八次B样条 | 1.48×102 | 1.82×101 | 1.47×10-2 | 5.29×10-2 | 9.53×103 | 1.36×101 | | 九次B样条 | 4.77×101 | 8.67×10-3 | 1.62×102 | 4.68×10-2 | 5.12×10-3 | 2.08×10-3 |
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