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Volumn 169, Issue 1, 2001, Pages 80-110

A Fast, High-Order Algorithm for the Solution of Surface Scattering Problems: Basic Implementation, Tests, and Applications

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ACOUSTIC WAVE SCATTERING; BOUNDARY INTEGRAL EQUATIONS; FAST FOURIER TRANSFORMS; PERSONAL COMPUTERS;

EID: 0003081462     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6714     Document Type: Article
Times cited : (258)

References (30)
  • 1
    • 0001717362 scopus 로고
    • An implementation of the fast multipole method without multipoles
    • Anderson C. R. An implementation of the fast multipole method without multipoles. SIAM J. Sci. Stat. Comput. 13:1992;923.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 923
    • Anderson, C.R.1
  • 2
    • 0030242018 scopus 로고    scopus 로고
    • AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems
    • Bleszynski E., Bleszynski M., Jaroszewicz T. AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems. Radio Sci. 31:1996;1225.
    • (1996) Radio Sci. , vol.31 , pp. 1225
    • Bleszynski, E.1    Bleszynski, M.2    Jaroszewicz, T.3
  • 3
    • 0020169511 scopus 로고
    • The k-space formulation of the scattering problem in the time domain
    • Bojarski N. The k-space formulation of the scattering problem in the time domain. J. Acoust. Soc. Am. 72:1982;570.
    • (1982) J. Acoust. Soc. Am. , vol.72 , pp. 570
    • Bojarski, N.1
  • 4
    • 85190805656 scopus 로고    scopus 로고
    • Deleted in proof
    • Deleted in proof.
  • 9
    • 0034461635 scopus 로고    scopus 로고
    • A fast high-order solver for EM scattering from complex penetrable bodies: TE case
    • Bruno O., Sei A. A fast high-order solver for EM scattering from complex penetrable bodies: TE case. IEEE Trans. Antennas Propag. 48:2000;1862.
    • (2000) IEEE Trans. Antennas Propag. , vol.48 , pp. 1862
    • Bruno, O.1    Sei, A.2
  • 10
    • 0032209229 scopus 로고    scopus 로고
    • Numerical solution of the Helmholtz equation using a high-order Nystrom discretization
    • Canino L., Ottusch J., Stalzer M., Visher J., Wandzura S. Numerical solution of the Helmholtz equation using a high-order Nystrom discretization. J. Comput. Phys. 146:1998;627.
    • (1998) J. Comput. Phys. , vol.146 , pp. 627
    • Canino, L.1    Ottusch, J.2    Stalzer, M.3    Visher, J.4    Wandzura, S.5
  • 11
    • 84882492841 scopus 로고
    • A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the conjugate gradient method and the fast fourier transform
    • Catedra M. F., Cago E., Nuno L. A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the conjugate gradient method and the fast fourier transform. IEEE Trans. Antennas Propag. 37:1989;528.
    • (1989) IEEE Trans. Antennas Propag. , vol.37 , pp. 528
    • Catedra, M.F.1    Cago, E.2    Nuno, L.3
  • 12
    • 0027609499 scopus 로고
    • The fast multipole method for the wave equation: A pedestrian prescription
    • Coifman R., Rokhlin V., Wandzura S. The fast multipole method for the wave equation: A pedestrian prescription. IEEE Antennas Propag. Mag. 35:1993;7.
    • (1993) IEEE Antennas Propag. Mag. , vol.35 , pp. 7
    • Coifman, R.1    Rokhlin, V.2    Wandzura, S.3
  • 14
    • 0032120186 scopus 로고    scopus 로고
    • The accuracy of fast multipole methods for Maxwell's equations
    • Dembart B., Yip E. The accuracy of fast multipole methods for Maxwell's equations. IEEE Comput. Sci. Eng. 4:1998;48.
    • (1998) IEEE Comput. Sci. Eng. , vol.4 , pp. 48
    • Dembart, B.1    Yip, E.2
  • 15
    • 0001698339 scopus 로고
    • Multipole translation theory for the three-dimensional Laplace and Helmholtz equations
    • Epton M., Dembart B. Multipole translation theory for the three-dimensional Laplace and Helmholtz equations. SIAM J. Sci. Comput. 16:1995;865.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 865
    • Epton, M.1    Dembart, B.2
  • 17
    • 85190775452 scopus 로고    scopus 로고
    • Deleted in proof
    • Deleted in proof.
  • 18
    • 0001067436 scopus 로고
    • Laplace equation and the Dirichlet-Neumann map in multiply connected domains
    • Greenbaum A., Greengard L., McFadden G. Laplace equation and the Dirichlet-Neumann map in multiply connected domains. J. Comput. Phys. 105:1993;267.
    • (1993) J. Comput. Phys. , vol.105 , pp. 267
    • Greenbaum, A.1    Greengard, L.2    McFadden, G.3
  • 19
    • 0032117876 scopus 로고    scopus 로고
    • Accelerating fast multipole methods for the Helmholtz equation at low frequencies
    • Greengard L., Huang J. F., Rokhlin V., Wandzura S. Accelerating fast multipole methods for the Helmholtz equation at low frequencies. IEEE Comput. Sci. Eng. 5:1998;32.
    • (1998) IEEE Comput. Sci. Eng. , vol.5 , pp. 32
    • Greengard, L.1    Huang, J.F.2    Rokhlin, V.3    Wandzura, S.4
  • 20
    • 85190804411 scopus 로고    scopus 로고
    • A fast, high-order algorithm for the solution of surface scattering problems
    • submitted for publication
    • L. A. Kunyansky, and, O. P. Bruno, A fast, high-order algorithm for the solution of surface scattering problems. II. Theoretical considerations, submitted for publication.
    • Theoretical Considerations , vol.2
    • Kunyansky, L.A.1    Bruno, O.P.2
  • 21
    • 0032396792 scopus 로고    scopus 로고
    • A convergence theorem for the fast multipole method for 2-dimensional scattering problems
    • Labreuche C. A convergence theorem for the fast multipole method for 2-dimensional scattering problems. Math. Comput. 67:1998;553.
    • (1998) Math. Comput. , vol.67 , pp. 553
    • Labreuche, C.1
  • 22
    • 0242678621 scopus 로고
    • Über eine methode zum räumlichen Neumannschen problem mit einer anwendung für torusartige berandungen
    • Martensen E. Über eine methode zum räumlichen Neumannschen problem mit einer anwendung für torusartige berandungen. Acta Math. 109:1963;75.
    • (1963) Acta Math. , vol.109 , pp. 75
    • Martensen, E.1
  • 24
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin V. Rapid solution of integral equations of classical potential theory. J. Comput. Phys. 60:1985;187.
    • (1985) J. Comput. Phys. , vol.60 , pp. 187
    • Rokhlin, V.1
  • 25
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory in two dimensions
    • Rokhlin V. Rapid solution of integral equations of scattering theory in two dimensions. J. Comput. Phys. 86:1990;414.
    • (1990) J. Comput. Phys. , vol.86 , pp. 414
    • Rokhlin, V.1
  • 26
    • 0027851427 scopus 로고
    • Diagonal form of translation operators for the Helmholtz equation in three dimensions
    • Rokhlin V. Diagonal form of translation operators for the Helmholtz equation in three dimensions. Appl. Comput. Harmonic Anal. 1:1993;82.
    • (1993) Appl. Comput. Harmonic Anal. , vol.1 , pp. 82
    • Rokhlin, V.1
  • 27
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Saad Y., Schultz M. H. GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM J. Sci. Stat. Comput. 7:1986;856.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856
    • Saad, Y.1    Schultz, M.H.2
  • 29
    • 0031258501 scopus 로고    scopus 로고
    • Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects
    • Song J. M., Lu C. C., Chew W. C. Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects. IEEE Trans. Antennas Propag. 45:1997;1488.
    • (1997) IEEE Trans. Antennas Propag. , vol.45 , pp. 1488
    • Song, J.M.1    Lu, C.C.2    Chew, W.C.3
  • 30
    • 84943459706 scopus 로고
    • Benchmark radar targets for the validation of computational electromagnetics programs
    • Woo A. C., Wang H. T. G., Schuh M. J., Sanders M. L. Benchmark radar targets for the validation of computational electromagnetics programs. IEEE Antennas Propag. Mag. 35:1993;84.
    • (1993) IEEE Antennas Propag. Mag. , vol.35 , pp. 84
    • Woo, A.C.1    Wang, H.T.G.2    Schuh, M.J.3    Sanders, M.L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.