Integral Equation Formulation for the Solution of Magnetic Field Problems Part II: Magnetization Vector Approach

An integral equation formulation for the mathematical modelling of ferromagnetic materials is obtained in terms of magnetization vectors for solving three-dimensional magnetic field problems. This approach offers some computational advantages in achieving a numerical solution, so far as computing efforts and storage are concerned. The coefficient matrix has been found to be strictly diagonally dominant, enabling one to use fine elements for getting a highly accurate solution. The system of equations converges very rapidly for rectangular geometries.