Title :
LU factorization and solve of low rank electrically large MOM problems for monostatic scattering using the adaptive cross approximation for problem sizes to 1,025,101 unknowns on a PC workstation
Author :
Shaeffer, John F.
Author_Institution :
NASA, Marietta
Abstract :
When unknowns are grouped in local spatial regions, the resulting blocks of the system impedance matrix Z are of low numerical rank, a fact that has been reported and utilized by a number of investigators developing various approaches for "fast" MOM solutions such as FMM, AIM, pFFT, MLFMM, IES3. To date, these methods use iterative solvers to obtain the solution.
Keywords :
approximation theory; fast Fourier transforms; impedance matrix; iterative methods; matrix decomposition; method of moments; microcomputers; scattering; AIM; IES3; LU factorization; MLFMM; MOM problems; PC workstation; adaptive cross approximation; impedance matrix; iterative solvers; local spatial regions; monostatic scattering; pFFT; problem sizes; Arm; Equations; Filling; Geometry; Gold; Impedance; Iterative methods; Message-oriented middleware; Scattering; Workstations;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2007 IEEE
Conference_Location :
Honolulu, HI
Print_ISBN :
978-1-4244-0877-1
Electronic_ISBN :
978-1-4244-0878-8
DOI :
10.1109/APS.2007.4395734
