Discrete Vortices and Their Generalizations for Scattering Problemsстатья
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Дата последнего поиска статьи во внешних источниках: 1 февраля 2021 г.
Аннотация:In the numerical solving of boundary integral equations of electrodynamics, the problem is reduced to a system of linear algebraic equations with dense matrix. A significant increase in the number of cells of the partition used for the solution can be achieved by applying special methods for compressing dense matrices and fast matrix algorithms. At the same time, the extension of the classes of solved wave scattering problems requires the progress in the of the boundary integral equations method. The problem of electromagnetic diffraction in a piecewise homogeneous medium that can consist of domains with different dielectric properties and can contain ideally conducting inclusions in the form of solid objects and screens is considered in the present work. The proposed numerical method for solving of boundary hypersingular integral equations is based on ideas borrowed from the vortex frame method, widely used in computational aerodynamics.