A RBF based iterative method for nonlinear electromagnetic problems

This paper presents a novel Radial Basis Function (RBF) iterative method for nonlinear electromagnetic problems by introducing RBF collocation technique into Newton iteration. This method based firstly on transforming electromagnetic partial differential equations into high order coupled equations on many advantages of RBF collocation technique, then get numerical results from a novel self-optimized iteration technique by combining Newton iteration and continuation method. A classical numerical example analysis indicates that the proposed method, with high efficiency and accuracy, is suitable to nonlinear electromagnetic applications.