Numerical analysis of local interpolation error for 2D-MLFMA

Microwave and Optical Technology Letters

Volumn 36, Issue 1, 2003, Pages 8-12

  Ohnuki, Shinichiro ^a   Chew, Weng Cho ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Error analysis; Interpolation error; Multilevel fast multiple algorithm

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BANDWIDTH; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FAST FOURIER TRANSFORMS; INTERPOLATION; LAGRANGE MULTIPLIERS; POLYNOMIALS; TWO DIMENSIONAL;

EXPONENTIAL CONVERGENCE; LAGRANGE POLYNOMIAL; MULTILEVEL FAST MULTIPOLE ALGORITHM;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0037419550     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/mop.10655     Document Type: Article

References (13)

1. V. Rokhlin, Rapid solution of integral equation of scattering theory in two dimensions, J Comput Phys 86 (1990), 414-439.
2. C.C. Lu and W.C. Chew, Fast algorithm for solving hybrid integral equation, IEE Proc Pt H 140 (1993), 455-460.
3. 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), 466-470.
4. 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), 14-19.
5. 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 45 (1997), 1488-1493.
6. J.M. Song and W.C. Chew, Large scale computations using FISC, IEEE Antennas Propag Soc Int Symp, Salt Lake City, UT, July 16-21, 2000.
7. W.C. Chew, J.M. Jin, E. Michielssen, and J.M. Song (Editors), Fast and efficient algorithms in computational electromagnetics, Artech House Publishers, Boston London, 2001.
8. J.M. Song and W.C. Chew, Error analysis of the truncation of multipole expansion of vector Green's functions, IEEE Microwave and Wireless Components Letters 11 (2001), 311-313.
9. O.M. Bucci, C. Gennarelli, and C. Savarese, Optimal interpolation of radiated fields over a sphere, IEEE Trans Antennas Propagat 39 (1991), 1633-1643.
10. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical recipes in C second edition, Cambridge University Press, New York, 1992.
11. P.J. Davis, Interpolation and Approximation, Blaisdell Publishing Company, Waltham, MA, Toronto, London, 1963.
12. 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 36 (1999), 906-921.
13. S. Ohnuki and W.C. Chew, Numerical Accuracy of Multipole Expansion for 2-D MLFMA, Research Report CCEM-5-02, Center for Computational Electromagnetics, University of Illinois, Urbana, 2002.