Supercomputer modelling of electromagnetic wave scattering with boundary integral equation method

Abstract

Authors consider the approaches to increase efficiency of calculations in the problem of numerical modelling of electromagnetic wave scattering. To solve such kind of problems authors develop innovative variation of boundary integral equations method based on utilisation of integral equation with hyper singular integrals which can be solved with methods of piece-wise approximations and collocations. From numerical point of view the problem reduces to the solution of the system of linear equations which coefficients present the influence of cells of mesh on collocation points. The specialities of parallel algorithms for diffraction problems are described as for the straight solutions of the appearing linear systems so as for the approach utilising mosaic-skeleton approximation method which allows to solve linear equation system calculating only small part of matrix elements.