1. A system comprising: an EDA tool transforming a model of an atomic structure into a final state to determine a plurality of ab initio characteristics of the atomic structure, comprising: a control module causing a set of one or more ab initio modules to perform a plurality of iterative transformations to determine the plurality of ab initio characteristics of an atomic structure, the plurality of iterative transformations including: a first iterative transformation with a first k-mesh resolution, the first iterative transformation responsive to the control module by transforming the model of the atomic structure into a first intermediate state of the model of the atomic structure; and a second iterative transformation with a second k-mesh resolution, the second k-mesh resolution being higher than the first k-mesh resolution, the second iterative transformation responsive to the control module by transforming a previously determined intermediate state of the model of the atomic structure into the final state of the model of the atomic structure.