The solution of 3-dimensional induction heating problems using an integral equation method

The boundary integral equation method is applied to the solution of the induction heating of three dimensional objects. Two methods are explored. The first uses a direct solution of the electric field integral equation and the second uses a combination of the electric and magnetic equations and represents the tangential components of the surface electromagnetic field by three scalar surface potentials. Both fields and potentials are given a finite element representation. Results for some simple cases are considered.