期刊
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
卷 7, 期 -, 页码 36-39出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LAWP.2007.908008
关键词
iterative algorithms; least-squares QR algorithm; multilevel fast multipole algorithm; scattering problems
资金
- Scientific and Technical Research Council of Turkey (TUBITAK) [105E172]
- Turkish Academy of Sciences [LG/TUBA-GEBIP/2002-1-12]
- ASELSAN
- SSM
In this letter, we consider iterative solutions of the three-dimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electric-field integral equation (EFIE) can be improved by employing an iterative least-squares QR (LSQR) algorithm. Compared to many other Krylov subspace methods, LSQR provides faster convergence and it becomes an alternative choice to the time-efficient no-restart generalized minimal residual (GMRES) algorithm that requires large amounts of memory. Improvements obtained with the LSQR algorithm become significant for the solution of large-scale problems involving open surfaces that must be formulated using EFIE, which leads to matrix equations that are usually difficult to solve iteratively, even when the matrix-vector multiplications are accelerated via the multilevel fast multipole algorithm.
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