Usefulness of Fixed Point Method in Electromagnetic Field Analysis in Consideration of Nonlinear Magnetic Anisotropy

Abstract

In the electromagnetic field computation in consideration of nonlinear magnetic anisotropy, the solution by the Newton-Raphson method has some problems which are an asymmetric matrix and poor convergence characteristic. We applied the Fixed-Point method to the electromagnetic field computation in consideration of nonlinear magnetic anisotropy and examined the usefulness of the Fixed-Point method through comparing the Fixed-Point method with the ordinary Newton-Raphson method. The Fixed-Point method with a symmetric matrix is quite faster than the Newton-Raphson method with an asymmetric matrix. Therefore, the Fixed-Point method is a very useful technique in nonlinear magnetic anisotropy problems.