Title :
Multilevel compression of matrices representing generalized equivalence integral equations
Author :
Brick, Y. ; Lomakin, Vitaliy ; Boag, Amir
Author_Institution :
Sch. of Electr. Eng., Tel Aviv Univ., Tel Aviv, Israel
Abstract :
A fast multilevel algorithm for the direct solution of a scattering problem, represented using the generalized field integral equation (GEIE), is presented. The algorithm exploits the inherent high rank deficiency of the GEIE to allow for a solution at a cost of O(kR) operations per excitation. The fast compression is achieved using the non-uniform grid approach.
Keywords :
electromagnetic wave scattering; integral equations; matrix algebra; GEIE; fast multilevel algorithm; generalized equivalence integral equations; generalized field integral equation; matrices; multilevel compression; nonuniform grid; rank deficiency; scattering problem; Algorithm design and analysis; Computational complexity; Couplings; Educational institutions; Integral equations; Method of moments; Scattering;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2013 International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-4673-5705-0
DOI :
10.1109/ICEAA.2013.6632270
