TY - GEN
T1 - Near interaction preconditioner using overlapped localizing local global solution modes
AU - Xu, Xin
AU - Luo, Chong
AU - Adams, Robert J.
PY - 2010
Y1 - 2010
N2 - Multilevel fast multipole algorithm (MLFMA) has been widely used to expedite the iterative solution of the linear systems that arise from discretizing integral equations for electromagnetic applications. However, the slow convergence rate, or non-convergence, of the iterative solver must be improved by either changing the underlying formulation or by using a good preconditioner. In this paper, we form an approximate inverse of the near interaction part of the system matrix and used it as a preconditioner to improve the convergence of an MLFMA based iterative solvers. The near interaction matrix is defined and filled by an existing MLFMA code, and it is factored and inverted using overlapped localizing local global solution modes (OL-LOGOS). Numerical results shows that the OL-LOGOS factored near interaction preconditioner is effective in improving the convergence rate.
AB - Multilevel fast multipole algorithm (MLFMA) has been widely used to expedite the iterative solution of the linear systems that arise from discretizing integral equations for electromagnetic applications. However, the slow convergence rate, or non-convergence, of the iterative solver must be improved by either changing the underlying formulation or by using a good preconditioner. In this paper, we form an approximate inverse of the near interaction part of the system matrix and used it as a preconditioner to improve the convergence of an MLFMA based iterative solvers. The near interaction matrix is defined and filled by an existing MLFMA code, and it is factored and inverted using overlapped localizing local global solution modes (OL-LOGOS). Numerical results shows that the OL-LOGOS factored near interaction preconditioner is effective in improving the convergence rate.
UR - https://www.scopus.com/pages/publications/78349281218
UR - https://www.scopus.com/pages/publications/78349281218#tab=citedBy
U2 - 10.1109/APS.2010.5562019
DO - 10.1109/APS.2010.5562019
M3 - Conference contribution
AN - SCOPUS:78349281218
SN - 9781424449682
T3 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
BT - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
T2 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
Y2 - 11 July 2010 through 17 July 2010
ER -