摘要
根据算子分裂法的基本思想提出了一种有效的求解非线性亥姆霍兹方程的逼近解析法 ,对非线性铁磁材料中的磁场和涡流进行了求解 ,获得了级数形式的解析解 .二维非线性磁场问题的计算表明 ,这一方法收敛很快 ,是求解非线性磁场和涡流问题的一种有效解析法 .该方法还可推广应用于三维甚至高维问题的求解 .
A new approach based on operator decomposition method has been developed to solve nonlinear Helmholtz equation.The approach is applied to compute the magnetic field and eddy current in nonlinear ferromagnetic materials and it provides an analytical solution.It is found that the method converges rapidly and is efficient for determining magnetic filed and eddy current in two dimension nonlinear ferromagnetic materials.In addition,the new appoach may be used to solve three dimensional even multidimensional problems.
出处
《应用科学学报》
CAS
CSCD
2000年第1期1-5,共5页
Journal of Applied Sciences
关键词
非线性
算子分裂法
磁场
涡流
铁磁材料
nonlinear ferromagnetic materials
operator decomposition method
magnetic field
eddy current
