Title :
Numerical solution of diffraction problems using large matrix compression
Author :
Ryzhakov, G.V. ; Mikhalev, A.Yu. ; Sushnikova, D.A. ; Oseledets, I.V.
Author_Institution :
Skolkovo Inst. of Sci. & Technol. (Skoltech), Moscow, Russia
Abstract :
We present an application of ℋ2-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 105 and more) and the system cannot be solved directly due to the lack of memory.
Keywords :
electromagnetic wave propagation; matrix algebra; numerical analysis; ℋ2-matrix compression; diffraction problems; electromagnetic wave; ideal conductive bodies; large matrix compression; matrix dimension; numerical solution; ℋ2-matrices; 3D diffraction; hypersingular integral equation; ideal-conductive bodies;
Conference_Titel :
Antennas and Propagation (EuCAP), 2015 9th European Conference on
Conference_Location :
Lisbon