메뉴 건너뛰기




Volumn 51, Issue 8, 2003, Pages 1883-1890

Numerical accuracy of multipole expansion for 2-D MLFMA

Author keywords

Addition theorem; Error analysis; Fast multipole method; Multilevel fast multipole algorithm (MLFMA)

Indexed keywords

ALGORITHMS; BANDWIDTH; ERROR DETECTION; GREEN'S FUNCTION; INTERPOLATION;

EID: 0042864797     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2003.815425     Document Type: Article
Times cited : (26)

References (21)
  • 1
    • 0000431418 scopus 로고
    • Rapid solution of integral equation of scattering theory in two dimensions
    • Feb.
    • V. Rokhlin, "Rapid solution of integral equation of scattering theory in two dimensions," J. Comput. Phys., vol. 86, no. 2. pp. 414-439, Feb. 1990.
    • (1990) J. Comput. Phys. , vol.86 , Issue.2 , pp. 414-439
    • Rokhlin, V.1
  • 2
    • 0027609499 scopus 로고
    • The fast multipole method for the wave equation: A pedestrian prescription
    • June
    • R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propagat. Mag., vol. 35, pp. 7-12, June 1993.
    • (1993) IEEE Antennas Propagat. Mag. , vol.35 , pp. 7-12
    • Coifman, R.1    Rokhlin, V.2    Wandzura, S.3
  • 3
    • 0000800931 scopus 로고
    • Fast algorithm for solving hybrid integral equation
    • Dec.
    • C. C. Lu and W. C. Chew, "Fast algorithm for solving hybrid integral equation," Inst. Elect. Eng. Proc. - Pt. H, vol. 140, no. 6, pp. 455-460, Dec. 1993.
    • (1993) Inst. Elect. Eng. Proc. - Pt. H , vol.140 , Issue.6 , pp. 455-460
    • Lu, C.C.1    Chew, W.C.2
  • 4
    • 0028460697 scopus 로고
    • A multilevel algorithm for solving a boundary integral equation of wave scattering
    • July
    • _, "A multilevel algorithm for solving a boundary integral equation of wave scattering," Microwave Opt. Tech. Lett., vol. 7, no. 10, pp. 466-470, July 1994.
    • (1994) Microwave Opt. Tech. Lett. , vol.7 , Issue.10 , pp. 466-470
  • 5
    • 0029378828 scopus 로고
    • Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering
    • Sept.
    • J. M. Song and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Micro. Opt. Tech. Lett., vol. 10, no. 1, pp. 14-19, Sept. 1995.
    • (1995) Micro. Opt. Tech. Lett. , vol.10 , Issue.1 , pp. 14-19
    • Song, J.M.1    Chew, W.C.2
  • 6
    • 0031258501 scopus 로고    scopus 로고
    • Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects
    • Oct.
    • J. M. Song, C.-C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propagat., vol. 45, pp. 1488-1493, Oct. 1997.
    • (1997) IEEE Trans. Antennas Propagat. , vol.45 , pp. 1488-1493
    • Song, J.M.1    Lu, C.-C.2    Chew, W.C.3
  • 7
    • 0028532771 scopus 로고
    • Fast multipole method solution using parametric geometry
    • Nov.
    • J. M. Song and W. C. Chew, "Fast multipole method solution using parametric geometry," Micro. Opt. Tech. Lett., vol. 7, no. 16, pp. 760-765, Nov. 1994.
    • (1994) Micro. Opt. Tech. Lett. , vol.7 , Issue.16 , pp. 760-765
    • Song, J.M.1    Chew, W.C.2
  • 8
    • 0032115360 scopus 로고    scopus 로고
    • A prescription for the multilevel Helmholtz FMM
    • July-Sept.
    • M. F. Gyure and M. A. Stalzer, "A prescription for the multilevel Helmholtz FMM," IEEE Comput. Sci. Eng., vol. 5, no. 3, pp. 39-47, July-Sept. 1998.
    • (1998) IEEE Comput. Sci. Eng. , vol.5 , Issue.3 , pp. 39-47
    • Gyure, M.F.1    Stalzer, M.A.2
  • 9
    • 0032120186 scopus 로고    scopus 로고
    • The accuracy of fast multipole methods for Maxwell's equations
    • July-Sept.
    • B. Dembart and E. Yip, "The accuracy of fast multipole methods for Maxwell's equations." IEEE Comput. Sci. Eng., vol. 5, pp. 48-56, July-Sept. 1998.
    • (1998) IEEE Comput. Sci. Eng. , vol.5 , pp. 48-56
    • Dembart, B.1    Yip, E.2
  • 10
    • 0001229383 scopus 로고    scopus 로고
    • Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem
    • S. Koc, J. M. Song, and W. C. Chew, "Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem," SIAM J. Numer. Anal, vol. 36, no. 3, pp. 906-921, 1999.
    • (1999) SIAM J. Numer. Anal , vol.36 , Issue.3 , pp. 906-921
    • Koc, S.1    Song, J.M.2    Chew, W.C.3
  • 12
    • 0012581335 scopus 로고    scopus 로고
    • Numerical accuracy of multipole expansion for 2-D MLFMA
    • Univ. Illinois, Urbana, Res. Rep.
    • S. Ohnuki and W. C. Chew, "Numerical accuracy of multipole expansion for 2-D MLFMA," Ctr. Computat. Electromagn., Univ. Illinois, Urbana, Res. Rep. CCEM-5-02, 2002.
    • (2002) Ctr. Computat. Electromagn. , vol.CCEM-5-02
    • Ohnuki, S.1    Chew, W.C.2
  • 13
    • 0019011059 scopus 로고
    • Improved mie scattering algorithms
    • May
    • W. J. Wiscombe, "Improved mie scattering algorithms," Appl. Opt., vol. 19, no. 9, pp. 1505-1509, May 1980.
    • (1980) Appl. Opt. , vol.19 , Issue.9 , pp. 1505-1509
    • Wiscombe, W.J.1
  • 14
    • 0023548113 scopus 로고
    • On the spatial bandwidth of scattered fields
    • Dec.
    • O. M. Bucci and G. Franceschetti, "On the spatial bandwidth of scattered fields," IEEE Trans. Antennas Propagat., vol. 35, pp. 1445-1455, Dec. 1987.
    • (1987) IEEE Trans. Antennas Propagat. , vol.35 , pp. 1445-1455
    • Bucci, O.M.1    Franceschetti, G.2
  • 15
    • 0003803407 scopus 로고
    • Sparse diagonal forms for translation operations for the helmholtz equation in two dimensions
    • Dept. Computer Sci., Yale Univ., New Haven, CT
    • V. Rokhlin, "Sparse diagonal forms for translation operations for the helmholtz equation in two dimensions," Dept. Computer Sci., Yale Univ., New Haven, CT, Res. Rep. YALEU/DCS/RR-1095, 1995.
    • (1995) Res. Rep. , vol.YALEU-DCS-RR-1095
    • Rokhlin, V.1
  • 16
    • 0035401652 scopus 로고    scopus 로고
    • Error analysis for the truncation of multipole expansion of vector Green's functions
    • July
    • J. Song and W. C. Chew, "Error analysis for the truncation of multipole expansion of vector Green's functions," IEEE Microwave Wireless Components Lett., vol. 11, pp. 311-313, July 2001.
    • (2001) IEEE Microwave Wireless Components Lett. , vol.11 , pp. 311-313
    • Song, J.1    Chew, W.C.2
  • 17
    • 0033525315 scopus 로고    scopus 로고
    • MLFMA for solving integral equations of 2-D electromagnetic problems from static to electrodynamic
    • Mar.
    • J.-S. Zhao and W. C. Chew, "MLFMA for solving integral equations of 2-D electromagnetic problems from static to electrodynamic," Microwave Opt. Tech. Lett., vol. 20, no. 5, pp. 306-311, Mar. 1999.
    • (1999) Microwave Opt. Tech. Lett. , vol.20 , Issue.5 , pp. 306-311
    • Zhao, J.-S.1    Chew, W.C.2
  • 18
    • 0034290010 scopus 로고    scopus 로고
    • Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies
    • Oct.
    • _, "Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies," IEEE Trans. Antennas Propagat., vol. 48, pp. 1635-1645, Oct. 2000.
    • (2000) IEEE Trans. Antennas Propagat. , vol.48 , pp. 1635-1645
  • 20
    • 0003600290 scopus 로고
    • New York: Van Nostrand Reinhold; reprint New York: IEEE Press, 1995
    • W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand Reinhold, 1990; reprint New York: IEEE Press, 1995.
    • (1990) Waves and Fields in Inhomogeneous Media
    • Chew, W.C.1
  • 21
    • 0026413037 scopus 로고
    • Multilevel computations of integral transforms and particle interactions with oscillatory kernels
    • A. brandt, "Multilevel computations of integral transforms and particle interactions with oscillatory kernels," Comput. Phys. Commun., vol. 65, pp. 24-38, 1991.
    • (1991) Comput. Phys. Commun. , vol.65 , pp. 24-38
    • Brandt, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.