The reduced magnetic vector potential (RMVP) formulation has recently been used to drastically speed up the simulation of accelerator magnets at CERN. The formulation decomposes the magnetic vector potential into several components, depending on the different subdomains of the computational domain. With the currents in a coil being known, it starts by computing a source magnetic vector potential with Biot-Savart's law and proceeds with the corrections towards the total solution. In this process, the magnetostatic Maxwell equations are used.

Extending the reduced magnetic vector potential formulation to the magnetoquaistatic Maxwell equations is not straightforward. Due to the eddy currents, the current distribution in conducting domains is not known beforehand and depends on the surrounding domain. This causes errors in the total solution. It is expected that an iterative scheme that iterates between the different domains can effectively account for the eddy current effects.