Domain decomposition methods on nonmatching grids in electromagnetic field computation

Summary form only given. We consider domain decomposition methods on nonmatching grids using mortar edge elements in the numerical solution of interior domain problems for the time-harmonic Maxwell equations and the eddy current equations in three space dimensions. As an application for the time-harmonic Maxwell equations, we consider a benchmark problem for an LWD (logging while drilling) tool used in oil exploration for in situ measurements to provide information about the formation through which a borehole is drilled. LWD tools are induction sensors with several saddle-type transmitter and receiver antennas placed concentrically on a metallic mandrel. On the other hand, as far as the quasistationary limit of Maxwell´s equations is concerned, we consider the optimal design of bus bars in converter modules used as electric drives for high power electromotors. This amounts to the solution of a topology optimization problem where the state variables are subject to the eddy current equations and the design variable is given by the conductivity of the basic material.