Integral formulation for 3-D eddy current problems

A new approach for 3-D eddy current computation using volume integral equations is presented. The formulation is derived directly from Maxwell´s equations and it enables solution of problems with conducting, nonconducting and magnetic subregions. It is shown how the discrete problem is formed based on Whitney forms. Adopting Whitney´s elements, consistency between the continuous and discrete formulations is achieved, and the numerical problem can be formed without difficulty. A brief discussion of the discretisation in the case of multiply connected regions is also given. Some test results are shown in order to ascertain the correctness of the formulation