The fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) are
reviewed. The number of modes required, block-diagonal preconditioner, near singularity …

Since the end of the 19th century, radioelectronic devices (REDs) have actively penetrated
into all modern community spheres. Achievements in the fields of radio engineering and …

A multilevel algorithm is presented for analyzing scattering from electrically large surfaces.
The algorithm accelerates the iterative solution of integral equations that arise in …

Various methods for efficiently solving electromagnetic problems are presented.
Electromagnetic scattering problems can be roughly classified into surface and volume …

We describe a numerically efficient strategy for solving a linear system of equations arising
in the Method of Moments for solving electromagnetic scattering problems. This novel …

The interpolative decomposition (ID) is combined with the multilevel fast multipole algorithm
(MLFMA), denoted by ID-MLFMA, to handle multiscale problems. The ID-MLFMA first …

A new technique is presented for accelerating the fast multipole method, allowing rapid
solution of surface integral equations for wave‐scattering problems. A nonnested, ray …

Deep-learning (DL)-equipped iterators are developed to accelerate the iterative solution of
electromagnetic scattering problems. In proposed iterators, DL blocks consisting of U-nets …

Inspired by a discretized formulation resulting from volume integral equation and method of
moments, we propose an electric flux density learning method (EFDLM) using cascaded …

The fast multipole method (FMM) was originally developed for perfect electric conductors
(PECs) in free space, through exploitation of the spectral properties of the free-space …