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References

  • Adams, R. J., Y. Xu, X. Xu, S. D. Gedney, and F. X. Canning (2008), Modular fast direct electromagnetic analysis using local-global solution modes, IEEE Trans. Antennas Propag., 56, 24272441.
  • Bleszynski, E., M. Bleszynski, and T. Jaroszewicz (1996), AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems, Radio Sci., 31, 12251251, doi:10.1029/96RS02504.
  • Boag, A. (2007), Compression of the method of moments matrices using the non-uniform grid approach, in ICEAA 2007. International Conference on Electromagnetics in Advanced Applications, 2007, pp. 964965, IEEE, Piscataway, N. J.
  • Chai, W., and D. Jiao (2011), Dense matrix inversion of linear complexity for integral-equation-based large-scale 3-D capacitance extraction, IEEE Trans. Microwave Theory Tech., 59(10), 24042421, doi:10.1109/TMTT.2011.2160964.
  • Cheng, H., Z. Gimbutas, P.-G. Martinsson, and V. Rokhlin (2005), On the compression of low rank matrices, SIAM J. Sci. Comput., 26, 13891404.
  • Coifman, R., V. Roklin, and S. Wandzura (1993), The fast multipole method for the wave equation: A pedestrian prescription, IEEE Antennas Propag. Mag., 35, 712.
  • Dembart, B., and E. Yip (1998), The accuracy of fast multipole methods for Maxwell's equations, IEEE Comput. Sci. Eng., 5, 4856.
  • Greengard, L., D. Gueyffier, P. G. Martinsson, and V. Rokhlin (2009), Fast direct solvers for integral equations in complex three-dimensional domains, Acta Numer., 18, 243275.
  • Harrington, R. F. (1968), Field Computation by Moment Methods, MacMillan, New York.
  • Heldring, A., J. M. Rius, J. M. Tamayo, J. Parron, and E. Ubeda (2007), Fast direct solution of method of moments linear system, IEEE Trans. Antennas Propag., 55, 32203228.
  • Li, M. M., C. Y. Li, C. J. Ong, and W. C. Tang (2012), A Novel multilevel matrix compression method for analysis of electromagnetic scattering from PEC targets, IEEE Trans. Antennas Propag., 60, 13901399, doi:10.1109/TAP.2011.2180310.
  • Lu, C. C., and W. C. Chew (1994), A multilevel algorithm for solving a boudary integral equation of wave scattering, Microwave Opt. Technol. Lett., 7, 466470.
  • Martinsson, P. G., and V. Rokhlin (2005), A fast direct solver for boundary integral equations in two dimensions, J. Comput. Phys., 205, 123.
  • Peng, Z., X. C. Wang, and J. F. Lee (2011), Integral equation domain decomposition method for solving electromagnetic wave scattering from non-penetrable objects, IEEE Trans. Antennas Propag., 59, 33283338, doi:10.1109/TAP.2011.2161542.
  • Phillips, J. R., and J. K. White (1997), A precorrected-FFT method for electromagnetic analysis of complicated 3-D structures, IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., 16, 10591072.
  • Rao, S. M., D. R. Wilton, and A. W. Glisson (1982), Electromagnetic scattering by surfaces of arbitrary shape, IEEE Trans. Antennas Propag., 30, 409418.
  • Rokhlin, V. (1985), Rapid solution of integral equations of classic potential theory, J. Comput. Phys., 60, 187207.
  • Rokhlin, V. (1990), Rapid solution of integral equations of scattering in two dimensions, J. Comput. Phys., 86, 414439.
  • Shaeffer, J. (2008), Direct solver of electrically large integral equations for problem sizes to 1 M unknowns, IEEE Trans. Antennas Propag., 56, 23062313.
  • Song, J. M., and W. C. Chew (1995), Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering, Microwave Opt. Technol. Lett., 10, 1419.
  • Stephason, M., and J. F. Lee (2009), Preconditioned electrical field integral equation using Calderon Identities and dual loop/star basis functions, IEEE Trans. Antennas Propag., 57, 12741279.
  • Vouvakis, M., K. Zhao, S. Seo, and J. F. Lee (2007), A domain decomposition approach for non-conformal couplings between finite and boundary elements for unbounded electromagnetic problems inR3, J. Comput. Phys., 225, 975994.
  • Wang, C. F., F. Ling, and J. M. Jin (1998), Adaptive integral solution of combined field integral equation, Microwave Opt. Technol. Lett., 19, 321328.
  • Wei, J. G., Z. Peng, and J. F. Lee (2011), A fast direct matrix solver for surface integral equation methods for electromagnetic wave problems in R3, paper presented at the 27th International Review of Progress in Applied Computational Electromagn., Appl. Comput. Electromagnetics Soc., Williamsburg, Va, 27–31 March.
  • Winebrand, E., and A. Boag (2007), Non-uniform grid based fast direct solver for quasi-planar scatterers, in IEEE 2007 Antennas and Propagation Society International Symposium, pp. 18371840, IEEE, Piscataway, N. J.