Strategies for Accelerating Nonlinear Convergence for ${\rm T}{\hbox{-}}\Omega$ Formulation
Ping Zhou, Dingsheng Lin, Bo He, Sameer S. Kher, Z.J. Cendes · IEEE Transactions on Magnetics · 2010
This paper details the derivation of the Jacobian matrix and the residual vector associated with the Newton–Raphson iteration sequence in terms of the${\rm T}{\hbox{-}}\Omega$formulation. Then, a scheme is proposed to efficiently find the optimum relaxation factor for improving global convergence. Furthermore, to address some local convergence issues, a local damping factor that damps the updating of the nonlinear material property for the evaluation of Jacobian matrix during nonlinear iteration is introduced.