光顺化有限元技术在电磁场数据处理中的应用

Application of Smoothing Finite Element Technique in Processing Measured Data of Electromagnetic Fields

介绍一种新的数值方法，并用于平面电磁场离散测量数据的再现与微分。该方法结合最佳逼近、有限元分片插值与光顺技巧，对测量向量各独立分量进行处理，改善了原离散点构成的解空间的光滑性，提高了解尤其是导数场的精度，在测量区域内再现了光顺向量函数及连续的导数。因对测点分布及边界条件无特殊要求，此方法可用于平面电磁场的研究。实验与应用表明该方法可有效地抑制输入误差的影响，具有较高的计算精度与数值稳定性。

A new numerical method is presented for representing and differentiating discrete electromagnetic field data measured. A smoothing technique is combined with optimum approximation and finite element piece wise interpolation in the method, It can simultaneously process measured vector components, improve smoothing capability of solution, space composed of original discrete points and increase the accuracy of the solution, especialy its derivatives. The represented vectorial functions are smooth and their derivatives are continuous throughout the entire measured region. As the distribution of measured points and boundary condition need not be specificed, the technique is applicable to the 2D electric magnetic fields, The results from the test and application demonstrate its effectiveness for restraining the influence of input errors (experimental scatter) and its better calculation accuracy and numerical stability.