Numerical solution of diffraction problems using large matrix compression

We present an application of ℋ
²
-matrix compression to the problem of diffraction of electromagnetic wave on ideal-conductive bodies in the 3D case. Numerical examples are given. In the case, when the body is electrically large, a fine grid on the body is needed to approximate the unknown function with good accuracy. Thus, the matrix dimension of the corresponding system of linear equations is large (about 10
⁵
and more) and the system cannot be solved directly due to the lack of memory.