This paper shows that the global system of linearequations in the hybrid FEM-BEM solution of open-boundary skin effect problems can be efficiently solved by means of GMRES. This solver is applied virtually to the reduced system of equations in which the unknowns are the nodal values of the normal derivative of the magnetic vector potential on the fictitious truncation boundary. In each step of the GMRES algorithm, a solution of the FEM equations is performed by means of the standard conjugate gradient solver. The BEM equations are written in a non-conventional way, by making the nodes for the potential non-coinciding with the nodes for its normal derivative.
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