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Efficient Solution of the Electric-Field Integral Equation Using the Iterative LSQR Algorithm

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2 Author(s)
Ergul, O. ; Bilkent Univ., Ankara ; Gurel, L.

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.

Published in:

Antennas and Wireless Propagation Letters, IEEE  (Volume:7 )

Date of Publication:

2008

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