Efficient Multikernel Hierarchical Compression for Boundary Element Matrices

Abstract

We present a new scheme that allows for the compression of operators of the combined field integral equation in the low-frequency regime using a hierarchical decomposition that leverages a unified pseudoskeleton approximation of both the single-and the double-layer Green's function at the quadrature points. Compared with a standard adaptive cross approximation, the numerical results show a reduced memory consumption without sacrificing computational run time.