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6 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最大相对误差
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Table 6 Maximum relative error of different interpolation algorithms for circular loops in 1 000 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 | 2.57 | 1.02 | 7.66×10-1 | 5.90×10-1 | 1.75 | 4.51×10-1 | | 三次B样条 | 7.46 | 2.82 | 2.86 | 2.92 | 2.41 | 2.47 | | 四次B样条 | 5.16 | 4.05×104 | 2.36×104 | 1.46×103 | 5.07×101 | 4.04×10-1 | | 五次B样条 | 1.17×10-1 | 1.07×10-1 | 7.81×10-2 | 9.37×10-1 | 1.34×103 | 4.66×105 | | 六次B样条 | 2.06×104 | 7.51×101 | 8.01×10-2 | 7.54×10-2 | 2.28×10-1 | 4.39×10-2 | | 七次B样条 | 1.93×10-1 | 1.35×10-1 | 3.00×104 | 1.92×102 | 1.62×10-1 | 4.46×10-2 | | 八次B样条 | 2.92×102 | 1.98×102 | 7.46×10-2 | 4.25×10-1 | 6.04×105 | 4.61×102 | | 九次B样条 | 7.23×101 | 1.00×10-1 | 5.02×103 | 7.35×10-1 | 2.34×10-1 | 4.21×10-2 |
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