Adaptive cross approximation (ACA) acceleration of superconducting circuit analysis

The open source package FastHenry is a magnetoquasistatic analysis program which can be used for inductance calculations of arbitrary three-dimensional superconductor circuit layouts. It employs the Partial Element Equivalent Circuit (PEEC) method, with multi-level, fast multipole method (MLFMM) acceleration of the linear solver. The adaptive cross approximation (ACA) algorithm is an alternative approach to the MLFMM, to accelerate integral equation based methods. The potential benefits of using the ACA as an efficient alternative to the MLFMM in FastHenry, is investigated. Single-level ACA results are presented. Results show that less directly-calculated near interactions need to be stored for the ACA.