一种能有效处理平面向量场测量数据的数值技术

An Effective Numerical Technique for Processing Measured Data of Plane Vector Fields

用一种新的数值方法再现微分平面向量场离散测量数据。该方法结合光顺技巧与有限元概念 ,同时处理二维测量向量的分量 ,在测量区域内再现其光顺的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、温度场及其它物理量场的研究中。

A new numerical method is developed and demonstrated for representing and differentiating discretely measured vector-field data. Combining smoothing technique with finite element concept, the method simultaneously processes in-plane measured vector components to obtain smooth representing vector functions and continuous derivatives throughout the entire measured region. Boundary condition needs not be specified and the distribution of measured data points may be irregular. The method is easy to use in planar electric-magnetic fields and temperature ones. The illustrated results demonstrate the accuracy and numerical stability of the method.