A combined boundary value and transmission problem arising from the calculation of eddy currents: well-posedness and numerical treatment (Q1066349)

The authors consider the problem of calculating eddy current losses using a boundary value and transmission problem for a complex Helmholtz equation and Laplace's equation. An equivalent system of integral equations is derived and then used to show the existence of a unique solution which depends continuously on the data. A numerical method is then based on decoupling the problem into two boundary value problems, where part of the boundary values have to be determined by a system of linear equations.