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本文研究空间反演变换在电磁场数值计算中的应用,导出了反演变换中电势、电荷反演前后的关系及所满足的方程。将空间反演变换与有限元相结合,计算了几个实例,所得结果令人满意。由理论和实践说明,用空间反演法求解大场域及只求感兴趣区域的电磁场问题,计算量小、精度高,为用小机算大题提供了一种可行方法。这种方法不但适用于电磁场的计算,而且还可用于其他物理场(如应力场、温度场、流速场等)的计算。
In this paper, the application of the space inversion transformation in the numerical calculation of the electromagnetic field is studied. The relationship between the potential and the charge before and after inversion in the inversion transformation is derived and the equations that are satisfied are derived. Combining spatial inversion transformation with finite element, several examples were calculated and the results obtained were satisfactory. According to the theory and practice, the space inversion method is used to solve the electromagnetic field problem in the large field and only in the region of interest. The calculation is small and the precision is high, which provides a feasible method for solving problems with small machines. This method is not only suitable for the calculation of electromagnetic fields, but also for the calculation of other physical fields (such as stress field, temperature field, velocity field, etc.).