ERRORS IN NUMERICAL SOLVING OF NONLINEARMAGNETIC FIELD PROBLEMS

摘要

An effective technique to obtain a bound of the global error is presented. Nonlinearrnconstitutive relationship is treated by the polarization iterative fixed point method (PFPM). Since thernfield problem to be solved at each iteration step is linear, by using the Green function method (GFM), anrniterative integral expression of the error is obtained. PFPM being a Picard-Banach fixed point procedure,rnthe bound for the norm of the difference between computed and exact solutions results as a sum of thernerror introduced in the iterative procedure and the error due to the chosen discretization mesh.