Preconditioning iterative algorithm for the electromagnetic scattering from a large cavity

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

16 Scopus Citations
View graph of relations


Related Research Unit(s)


Original languageEnglish
Pages (from-to)345-363
Journal / PublicationNumerical Linear Algebra with Applications
Issue number5
Publication statusPublished - May 2009


A preconditioning iterative algorithm is proposed for solving electromagnetic scattering from an open cavity embedded in an infinite ground plane. In this iterative algorithm, a physical model with a vertically layered medium is employed as a preconditioner of the model of general media. A fast algorithm developed in (SIAM J. Sci. Comput. 2005; 27:553-574) is applied for solving the model of layered media and classical Krylov subspace methods, restarted GMRES, COCG, and BiCGstab are employed for solving the preconditioned system. Our numerical experiments on cavity models with large numbers of mesh points and large wave numbers show that the algorithm is efficient and the number of iterations is independent of the number of mesh points and dependent upon the wave number. Copyright © 2008 John Wiley & Sons, Ltd.

Research Area(s)

  • Cavity, Electromagnetic scattering, Helmholtz equation, Indefinite systems, Preconditioning iterative algorithm