关于常α线性无力场的边界积分表示公式

A Boundary Integral Formulation for Solar Constant-α Force-free Magnetic Fields

本文基于颜毅华所给太阳磁场的边界积分表示式,提出了一个新的直接边界积分公式,该公式仅仅由边界上的已知磁场值确定空间点的磁场值,且用新的公式计算磁场具有计算速度快、精度高的显著优点。此外,我们还对颜所提模型的渐近性条件进行了探讨,以例予说明该模型的渐近性条件仅是充分的。

On the basis of Yan＇s boundary integral formula about solar magnetic fields, a new direct boundary integral expression is proposed. With this formula, the magnetic values of the inner space points can be decided by the known magnetic values on the boundary of the space. The proposed formula costs less in computation and can obtain more accurate results than the Yan＇s formula. Furthermore, the asymptotic conditions in the Yan＇s model are examined and two examples are given to demonstrate that the Yan＇s asymptotic conditions are just the sufficient condition.