Error minimization of multipole expansion

SIAM Journal on Scientific Computing

Volumn 26, Issue 6, 2005, Pages 2047-2065

  Ohnuki, Shinichiro ^a   Chew, Weng Cho ^b  

^a NIHON UNIVERSITY   (Japan)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Error analysis; Error minimization; Fast multipole method; Multilevel fast multipole algorithm; Truncation error

Indexed keywords

ALGORITHMS; OPTIMIZATION;

ERROR MINIMIZATION; FAST MULTIPOLE METHOD; MULTILEVEL FAST MULTIPOLE ALGORITHM; MULTIPOLE EXPANSION; TRUNCATION ERROR;

ERROR ANALYSIS;

EID: 27844521111     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502417970     Document Type: Article

References (14)

1. V. ROKHLIN, Rapid solution of integral equation of scattering theory in two dimensions, J. Comput. Phys., 86 (1990), pp. 414-439.
2. R. COIFMAN, V. ROKHLIN, AND S. WANDZURA, The fast multipole method for the wave equation: A pedestrian prescription, IEEE Trans. Antennas and Propagation, 35 (1993), pp. 7-12.
3. C. C. LU AND W. C. CHEW, Fast algorithm for solving hybrid integral equation, IEE Proceedings Part H: Microwaves, Antennas and Propagation, 140 (1993), pp. 455-460.
4. C. C. LU AND W. C. CHEW, A multilevel algorithm for solving a boundary integral equation of wave scattering, Micro. Opt. Tech. Lett., 7 (1994), pp. 466-470.
5. J. M. SONG AND W. C. CHEW, Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering, Micro. Opt. Tech. Lett., 10 (1995), pp. 14-19.
6. J. M. SONG, C. C. LU, AND W. C. CHEW, Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects, IEEE Trans. Antennas and Propagation, 45 (1997), pp. 1488-1493.
7. S. OHNUKI AND W. C. CHEW, Numerical accuracy of multipole expansion for 2D MLFMA, IEEE Trans. Antennas and Propagation, 51 (2003), pp. 1883-1890.
8. S. OHNUKI AND W. C. CHEW, Truncation error analysis of multipole expansion, SIAM J. Sci. Comput., 25 (2003), pp. 1293-1306.
9. W. C. CHEW, Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990; reprinted by IEEE Press, New York, 1995.
10. W. C. CHEW, J. M. JIN, E. MICHIELSSEN, AND J. M. SONG, EDS., Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, Boston, 2001.
11. W. J. WISCOMBE, Improved Mie scattering algorithms, Appl. Optics, 19 (1980), pp. 1505-1509.
12. O. M. BUCCI AND G. FRANCESCHETTI, On the spatial bandwidth of scattered fields, IEEE Trans. Antennas and Propagation, 35 (1987), pp. 1445-1455.
13. V. ROKHLIN, Sparse Diagonal Forms for Translation Operations for the Helmholtz Equation in Two Dimensions, Research Report YALEU/DCS/RR-1095, Dept. of Computer Science, Yale University, New Haven, CT, 1995.
14. J. M. SONG AND W. C. CHEW, Error analysis for the truncation of multipole expansion of vector Green's functions, IEEE Micro. Wireless Components Lett., 11 (2001), pp. 311-313.