A combined boundary value and transmission problem arising from the calculation of eddy currents: Well posedness and numerical treatment

Authors: Heinz W. Engl and Ewald Lindner

Abstract: The problem of calculating eddy current losses is formulated as a boundary value and transmission problem for a complex Helmholtz equation and Laplace's equation. By deriving an equivalent system of integral equations, we show the existence of a unique solution depending continuously on the data. Furthermore, we propose a numerical method based on decomposing the problem into two boundary value problems, where part of the boundary values have to be determined by a system of linear equation.