Generalization of adaptive cross approximation for time‐domain boundary element methods

A numerical approach to the solution of the wave equation is performed by means of the boundary element method. In the interest of increasing the efficiency of this method a low‐rank approximation such as the adaptive cross approximation is carried out. We discuss a generalization of the adaptive cross approximation to approximate a three‐dimensional array of data. In particular, we perform an approximation of an array of boundary element matrices in the Laplace domain. The proposed scheme is illustrated by preliminary numerical experiments.