eprintid: 540 rev_number: 6 eprint_status: archive userid: 5 dir: disk0/00/00/05/40 datestamp: 2011-03-08 lastmod: 2013-07-01 11:39:45 status_changed: 2013-07-01 11:39:45 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Franceschini, Gabriele creators_name: Abubakar, Aria creators_name: Habashy, T. creators_name: Massa, Andrea title: A Comparative Assessment among Iterative Linear Solvers Dealing with Electromagnetic Integral Equations in 3D Inhomogeneous Anisotropic Media ispublished: pub subjects: TU full_text_status: public abstract: This paper deals with full-vectorial, three-dimensional, electromagnetic scattering problems formulated in terms of integral scattering equations. date: 2007-01 date_type: published institution: University of Trento department: informaticat refereed: TRUE referencetext: [1] J. H. Richmond, "Scattering by a dielectric Cylinder of arbitrary Cross section," IEEETrans. Antennas Propagat., vol. 13, pp. 334-341, Mar. 1965. [2] N. N. Bojarski, "K-space formulation of the scattering problem in the time domain,"J. Acoust. Soc. Am., vol. 72, pp. 570-584, 1982. [3] D. Lesselier and B. Duchene, "Buried, 2-D penetrable objects illuminated by linesources: FFT-based iterative Computations of the anomalous field," Progress in Elec-tromagnetics Research, PIER, vol. 5, pp. 351-389, 1991. [4] T. K. Sarkar, E. Arvas, and S. M. Rao, "Application of FFT and the Conjugatemethod for the solution of electromagnetic radiation from electrically large and smallconducting bodies," IEEE Trans. Antennas Propagat., vol. 34, pp. 635-640, May1986. [5] R. Kastner, "A Conjugate gradient procedure for analysis of planar Conductors withalternating patch and aperture formulation," IEEE Trans. Antennas Propagat., vol.36, pp. 1616-1620, Nov. 1988. [6] T. J. Peters and J. L. Volakis, "Application of a Conjugate gradient FFT method toscattering from thin planar material plates," IEEE Trans. Antennas Propagat., vol.36, pp. 518-526, Apr. 1988. [7] M. F. Catedra, J. G. Cuevas, and L. Nuno, "A scheme to analyze Conducting platesof resonant size using the Conjugate gradient method and fast Fourier transform,"IEEE Trans. Antennas Propagat., vol. 36, pp. 1744-1752, Dec. 1988. [8] A. F. Peterson, S. L. Ray, C. H. Chen, and R. Mittra, "Numerical implementationsof the Conjugate gradient method and the CG-FFT for electromagnetic scattering,"Progress in Electromagnetics Research, PIER, vol. 5, pp. 241-300, 1991. [9] J. L. Volakis and K. Barkeshli, "Applications of the Conjugate gradient FFT methodto radiation and scattering," Progress in Electromagnetics Research, PIER, vol. 5,pp. 159-239, 1991. [10] P. Zwamborn and P. M. van den Berg, "A weak form of the Conjugate gradientFFT method for two-dimensional TE scattering problems," IEEE Trans. MicrowaveTheory Tech., vol. 39, pp. 953-960, Jun. 1991. [11] P. Zwamborn and P. M. van den Berg, "The three-dimensional weak form of theconjugate gradient FFT method for scattering problems," IEEE Trans. MicrowaveTheory Tech., vol. 40, pp. 1757-1766, Sep. 1992. [12] A. Abubakar and P. M. van den Berg, Three-dimensional nonlinear inversion in Cross-well electrode logging, Radio Science, vol. 33, no. 4, pp. 989-1004, 1998. [13] A. Abubakar and P. M. van den Berg, "Iterative forward and inverse algorithms basedon domain integral equations for three-dimensional electric and magnetic objects,"Journal of Computational Physics, vol. 195, pp. 236-262, 2004. [14] Z. Q. Zhang and Q. H. Liu, "Three-dimensional weak-form Conjugate- andbiconjugate-gradient FFT methods for volume integral equations," Microwave Opt.Technol. Lett., vol. 29, pp. 350-356, Jun. 2001. [15] Z. Q. Zhang and Q. H. Liu, "Applications of the BCGS-FFT method to 3-D inductionwell logging problems," IEEE Geosci. Remote Sensing, vol. 41, pp. 998-1004, May2003. [16] J. A. Kong, Electromagnetic Wave Theory , New York, USA: John Wiley, 1990. [17] P. M. van den Berg, "Iterative schemes based on the minimization of the error infield problems," Electromagnetics, vol. 5, no. 2-3, pp. 237-262, 1985 [18] H. Gan and W. C. Chew, "A discrete BCG-FFT algorithm for solving 3D inhomo-geneous scatterer problems ," JEMWA, vol. 9, pp. 1339-1357, 1995. [19] R. Freund and N. Nachtigal, "QMR: A quasi-minimal residual method for non-hermitian linear systems," Numer. Math., vol. 60, pp. 315-339, 1991. [20] Y. Saad and M. H. Schultz, "GMRES: a generelized minimal residual algorithmfor solving nonsymmetric linear systems," SIAM J. Sci. Stat. Comput. , vol. 7, pp.856-869, Jul. 1986. citation: Franceschini, Gabriele and Abubakar, Aria and Habashy, T. and Massa, Andrea (2007) A Comparative Assessment among Iterative Linear Solvers Dealing with Electromagnetic Integral Equations in 3D Inhomogeneous Anisotropic Media. [Technical Report] document_url: http://www.eledia.org/students-reports/540/1/DISI-11-071.pdf