Skeleton based fast solution of MoM system with many right hand sides

Abstract

For method of moments (MoM) system with many right hand sides (RHSs), skeletonization has been employed to avoid the repetitive solution of all the RHSs. However, the peak memory requirement for the skeletonization may degrade the performance of the previously developed algorithms when the number of unknowns becomes very large. To alleviate the associated difficulty, a strategy is proposed to construct a sub-matrix of B to figure out skeleton RHSs. Numerical experiments show the accuracy and efficiency of the proposed algorithms.