A Spectral Multiresolution Preconditioner Combined with Multilevel Fast Multipole Algorithm for the Fast Monostatic RCS Calculation
For efficiently solving large dense complex linear systems with multiple right-hand sides that arise inmonostatic radar cross section (RCS) calculation,a spectral multiresolution method combined with the multilevel fast multipole algorithm(MLFMA) is developed and usedInthe context of the generalized minimal residual iterative method (GMRES).In this scheme,the MLFMA is used to speed up the matrix vector product operations and the spectral multiresolution (MR) preeonditioner,combined with a diagonal preconditioning,is employed to efficiently improve the distribution of the eigenvalues of the matrix,and can achieves the fast convergence rate by augmenting to the GMRES method a few eigenvectors associated with the smallest eigenvalues of the system. Numerical experiments indicate that this spectral MR preconditioning scheme is very effective with the MLFMA and can reduce both the iteration number and the CPU time of calculation significantly.
J.Zhu J.J.Ding D.Z.Ding R.S.Chen
Department of Communication Engineering,Nanjing University of Science and Technology,Nanjing City,China
国际会议
2008 International Conference on Microwave and Millimeter Wave Technology(2008国际微波毫米波技术会议)
南京
英文
1315-1317
2008-04-21（万方平台首次上网日期，不代表论文的发表时间）