TY - GEN

T1 - Conditioning of generalized source integral equation formulations

AU - Sharshevsky, Arkadi

AU - Brick, Yaniv

AU - Boag, Amir

N1 - Publisher Copyright:
© 2019 IEEE.

PY - 2019/9

Y1 - 2019/9

N2 - Recent years have seen an increasing interest in the development of fast direct integral equation solvers. These do not rely on the convergence of iterative procedures for obtaining the solution. Instead, they compute a compressed factorized form of the impedance matrix resulting from the discretization of an underlying integral equation. The compressed form can then be applied to multiple right-hand sides, at a relatively low additional cost. The most common class of direct integral equation solvers exploits the rank-deficiency of off-diagonal blocks of the impedance matrix, in order to express them in a compressed manner. Such rank deficiency is inherent to problems of small size compared to the wavelength, as well as to problems of reduced dimensionality, e.g., elongated and quasi-planar problems.

AB - Recent years have seen an increasing interest in the development of fast direct integral equation solvers. These do not rely on the convergence of iterative procedures for obtaining the solution. Instead, they compute a compressed factorized form of the impedance matrix resulting from the discretization of an underlying integral equation. The compressed form can then be applied to multiple right-hand sides, at a relatively low additional cost. The most common class of direct integral equation solvers exploits the rank-deficiency of off-diagonal blocks of the impedance matrix, in order to express them in a compressed manner. Such rank deficiency is inherent to problems of small size compared to the wavelength, as well as to problems of reduced dimensionality, e.g., elongated and quasi-planar problems.

UR - http://www.scopus.com/inward/record.url?scp=85074921637&partnerID=8YFLogxK

U2 - 10.1109/ICEAA.2019.8879246

DO - 10.1109/ICEAA.2019.8879246

M3 - פרסום בספר כנס

AN - SCOPUS:85074921637

T3 - Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019

SP - 105

BT - Proceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 9 September 2019 through 13 September 2019

ER -