Vol. 33
Latest Volume
All Volumes
PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2011-07-30
Numerical Optimization of the Method of Auxiliary Sources by Using Level Set Technique
By
Progress In Electromagnetics Research B, Vol. 33, 203-219, 2011
Abstract
It is well-known that the choice of the auxiliary surface and the arrangement of radiation centers play a decisive role for ensuring accuracy and stability of the method of auxiliary sources (MAS). Using level set technique, a numerical scheme is proposed to determine the optimal location and amplitudes of the auxiliary sources for three-dimensional scattering problems.
Citation
Afif Bouzidi, and Taoufik Aguili, "Numerical Optimization of the Method of Auxiliary Sources by Using Level Set Technique," Progress In Electromagnetics Research B, Vol. 33, 203-219, 2011.
doi:10.2528/PIERB11060505
References

1. Popovidi-Zaridze, R., D. Karkashadze, G. Ahvlediani, and J. Khatiashvili, "Investigation of possibilities of the method of auxiliary sources in solution of two-dimensional electrodynamics problems ," Radio Tech. Electron., Vol. 22, No. 2, 1978.

2. Aleksidze, M. A., Solution of Boundary Problems by Expansion Solution of Boundary Problems by Expansion, 1-350, Nauka, Moscow, 1982.

3. Aleksidze, M. A., "Fundamental Functions in Approximate Solutions of the Boundary Problems," Nauka, Moscow, 1982, 1-352.

4. Kupradze, V., "About approximates solution mathematical physics problem," Success Math. Sci., Vol. 22, No. N2, 59107, 1967.

5. Fikioris, G., "On two types of convergence in the method auxiliary sources," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 7, Jul. 2006.

6. Anastassiu, H. T., "Error estimation of the method of auxiliary sources (MAS) for scattering from an impedance circular cylinder," Progress In Electromagnetics Research, Vol. 52, 109-128, 2005.
doi:10.2528/PIER04072101

7. Popovidi-Zaridze, R. S. and Z. S. Tsverikmazashvili, "Numerical study of a diffraction problems by a modified method of nonorthogonal series," Zurnal. Vichislit. Mat. Mat. Fiz., Vol. 17, No. 2, 1977 (in Russian, English translation available, translated and reprinted by Scientific Translation Editor, Oxford, 1978).

8. Zaridze, R., D. Karkashadze, G. Talakvadze, J. Khatiashvili, and Z. Tsverikmazashvili, "The method of auxiliary sources in applied electrodynamics," Proc. URSI Int. Symp. E/M Theory, 102-106, Budapest, Hungary, 1986.

9. Okuno, Y., "A duality relationship between scattering field and current density calculation in the Yasuura method ," MMET, 278-281, URSI, Kharkov, Ukraine, 1994.

10. Karkashadze, D. and R. Zaridze, "The method of auxiliary sources in applied electrodynamics," Latsis Symposium, Zurich, 1995.

11. Osher, S. and J. A. Sethian, "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations," Journal of Computational Physics, Vol. 79, 12-49, 1988.
doi:10.1016/0021-9991(88)90002-2

12. Osher, S. and R. P. Fedkiw, "Level set methods: An overview and some recent results," Journal of Computational Physics, 463-502, 2001.
doi:10.1006/jcph.2000.6636

13. Sethian, J. A., "Level set methods and fast marching methods," Cambridge Monographs on Applied and Computational Mathematics, Vol. 3, Cambridge University Press, Cambridge, 1999, evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science.

14. Zhao, H.-K., T. Chan, B. Merriman, and S. Osher, "A variational level set approach to multiphase motion," Journal of Computational Physics, Vol. 127, No. 1, 179-195, 1996.
doi:10.1006/jcph.1996.0167

15. Mitchell, I. M., A toolbox of level set methods (version 1.1), Department of Computer Science, University of British Columbia, Vancouver, BC, Canada., 2007. [Online] Available: http://www.cs.ubc.ca/ mitchell/ToolboxLS/index.html.