Stabilized bordered block diagonal form for solving nonlinear magnetic field problems

This paper presents an adapted multilevel Newton-Raphson method based on a stabilized bordered block diagonal form of Jacobian matrix for solving the problems of nonlinear electromagnetic field. This algorithm can reduce the computing time with parallel computation. For analyzing large-scale engineering problems using numerical methods, parallel computation is an efficient approach. Graph partitioning algorithms in the numerical parallel computation have important theoretical significance and practical applications. The proposed method is based on a parallel algorithm, and is quite competent for solving large-scale nonlinear problems for possible reduced iteration steps, which has been demonstrated by the numerical experimental results.