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International Journal of Antennas and Propagation
Volume 2015, Article ID 563436, 7 pages
http://dx.doi.org/10.1155/2015/563436
Research Article

Fast Integral Equation Solution of Scattering of Multiscale Objects by Domain Decomposition Method with Mixed Basis Functions

1Department of Microwave Engineering, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
2Department of Electronics and Photonics, Institute of High Performance Computing, 1 Fusionopolis Way, Singapore 138632

Received 29 March 2015; Accepted 30 May 2015

Academic Editor: Felipe Cátedra

Copyright © 2015 Ran Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Transactions on Antennas and Propagation, vol. 30, no. 3, pp. 409–418, 1982. View at Google Scholar · View at Scopus
  2. J. M. Song, C. C. Lu, and W. C. Chew, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Transactions on Antennas and Propagation, vol. 45, no. 10, pp. 1488–1493, 1997. View at Publisher · View at Google Scholar · View at Scopus
  3. T. F. Eibert and J. L. Volakis, “Adaptive integral method for hybrid FE/BI modelling of 3-D doubly periodic structures,” IEE Proceedings: Microwaves, Antennas and Propagation, vol. 146, no. 1, pp. 17–22, 1999. View at Publisher · View at Google Scholar · View at Scopus
  4. S. M. Seo and J.-F. Lee, “A fast IE-FFT algorithm for solving PEC scattering problems,” IEEE Transactions on Magnetics, vol. 41, no. 5, pp. 1476–1479, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. W. Hackbusch, “A sparse matrix arithmetic based on H-matrices. Part I: introduction to H-matrices,” Computing, vol. 62, no. 2, pp. 89–108, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. H. Guo, J. Hu, H. Shao, and Z. Nie, “Hierarchical matrices method and its application in electromagnetic integral equations,” International Journal of Antennas and Propagation, vol. 2012, Article ID 756259, 9 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Guo, J. Hu, and Z. Nie, “An MPI-OpenMP hybrid parallel H-LU direct solver for electromagnetic integral equations,” International Journal of Antennas and Propagation, vol. 2015, Article ID 615743, 10 pages, 2015. View at Publisher · View at Google Scholar
  8. R. D. Graglia, D. R. Wilton, and A. F. Peterson, “Higher order interpolatory vector bases for computational electromagnetics,” IEEE Transactions on Antennas and Propagation, vol. 45, no. 3, pp. 329–342, 1997. View at Publisher · View at Google Scholar · View at Scopus
  9. E. Jorgensen, J. L. Volakis, P. Meincke, and O. Breinbjerg, “Higher order hierarchical Legendre basis functions for electromagnetic modeling,” IEEE Transactions on Antennas and Propagation, vol. 52, no. 11, pp. 2985–2995, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. B. M. Kolundzija and B. D. Popovic, “Entire-domain galerkin method for analysis of metallic antennas and scatterers,” IEE Proceedings H: Microwaves, Antennas and Propagation, vol. 140, no. 1, pp. 1–10, 1993. View at Google Scholar
  11. B. M. Kolundzija and M. M. Kostic, “Matrix equilibration in method of moment solutions of surface integral equations,” Radio Science, vol. 49, no. 12, pp. 1265–1276, 2014. View at Publisher · View at Google Scholar
  12. Y. Saad and M. H. Schultz, “GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems,” SIAM Journal on Scientific and Statistical Computing, vol. 7, no. 3, pp. 856–869, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  13. Z. Peng, X.-C. Wang, and J.-F. Lee, “Integral equation based domain decomposition method for solving electromagnetic wave scattering from non-penetrable objects,” IEEE Transactions on Antennas and Propagation, vol. 59, no. 9, pp. 3328–3338, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. Y. Maday, C. Mavriplis, and A. T. Patera, Nonconforming Mortar Element Methods: Application to Spectral Discretizations, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1988.
  15. S. Dosopoulos, Interior penalty discontinuous Galerkin finite element method for the time-domain Maxwell's equations [Ph.D. dissertation], The Ohio State University, 2012.