We analyse a strategy to optimize the computational effort of large-scale electromagnetic (EM) modeling and particularly inversion, the latter usually requiring a large number of forward modeling solutions. While we are interested in finely gridded earth models to capture realistic structures, the forward modeling operator may act upon a coarser simulation grid, or a subsection of the model grid, thus providing significant potential for computational speed-up. After briefly outlining the methodology of the grid transfers and its implications on the inversion scheme, we demonstrate the method on a marine CSEM survey example.