메뉴 건너뛰기




Volumn 37, Issue 4, 2000, Pages 1138-1164

Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation

Author keywords

Absorbing boundary condition; Approximation; Bessel function; High order convergence; Maxwell's equations; Nonreflecting boundary condition; Radiation boundary condition; Wave equation

Indexed keywords


EID: 0000985886     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142998336916     Document Type: Article
Times cited : (190)

References (30)
  • 1
    • 2142739347 scopus 로고
    • Non-reflecting boundary conditions
    • D. GIVOLI, Non-reflecting boundary conditions, J. Comput. Phys., 94 (1991), pp. 1-29.
    • (1991) J. Comput. Phys. , vol.94 , pp. 1-29
    • Givoli, D.1
  • 2
    • 0001700219 scopus 로고
    • Exact boundary conditions for scattering problems
    • LU TING AND M. J. MIKSIS, Exact boundary conditions for scattering problems, J. Acoust. Soc. Am., 80 (1986), pp. 1825-1827.
    • (1986) J. Acoust. Soc. Am. , vol.80 , pp. 1825-1827
    • Ting, L.U.1    Miksis, M.J.2
  • 3
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • B. ENGQUIST AND A. MAJDA, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., 31 (1977), pp. 629-651.
    • (1977) Math. Comp. , vol.31 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 4
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • A. BAYLISS AND E. TURKEL, Radiation boundary conditions for wave-like equations, Comm. Pure Appl. Math., 23 (1980), pp. 707-725.
    • (1980) Comm. Pure Appl. Math. , vol.23 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 5
    • 0000145357 scopus 로고
    • Approximation of radiation boundary conditions
    • M. ISRAELI AND S. ORSZAG, Approximation of radiation boundary conditions, J. Comput. Phys., 41 (1981), pp. 115-135.
    • (1981) J. Comput. Phys. , vol.41 , pp. 115-135
    • Israeli, M.1    Orszag, S.2
  • 6
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • J.-P. BERENGER, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys., 114 (1994), pp. 185-200.
    • (1994) J. Comput. Phys. , vol.114 , pp. 185-200
    • Berenger, J.-P.1
  • 7
    • 0001025850 scopus 로고
    • Conditions for complete transparency on the sphere for the three-dimensional wave equation
    • I. L. SOFRONOV, Conditions for complete transparency on the sphere for the three-dimensional wave equation, Russian Acad. Sci. Dokl. Math., 46 (1993), pp. 397-401.
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.46 , pp. 397-401
    • Sofronov, I.L.1
  • 8
    • 0041800345 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for time dependent scattering
    • M. J. GROTE AND J. B. KELLER, Nonreflecting boundary conditions for time dependent scattering, J. Comput. Phys., 52 (1996), p. 127.
    • (1996) J. Comput. Phys. , vol.52 , pp. 127
    • Grote, M.J.1    Keller, J.B.2
  • 9
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • T. HAGSTROM AND S. I. HARIHARAN, A formulation of asymptotic and exact boundary conditions using local operators, Appl. Numer. Math., 27 (1998), pp. 403-416.
    • (1998) Appl. Numer. Math. , vol.27 , pp. 403-416
    • Hagstrom, T.1    Hariharan, S.I.2
  • 10
    • 84968487577 scopus 로고
    • On the accurate long-time solution of the wave equation in exterior domains: Asymptotic expansions and corrected boundary conditions
    • T. HAGSTROM, S. I. HARIHARAN, AND R. C. MACCAMY, On the accurate long-time solution of the wave equation in exterior domains: Asymptotic expansions and corrected boundary conditions, Math. Comp., 63 (1994), pp. 507-539.
    • (1994) Math. Comp. , vol.63 , pp. 507-539
    • Hagstrom, T.1    Hariharan, S.I.2    Maccamy, R.C.3
  • 11
    • 0001886048 scopus 로고    scopus 로고
    • On high-order radiation boundary conditions, in Computational Wave Propagation
    • B. Engquist and G. Kriegsmann, eds., Springer-Verlag, New York
    • T. HAGSTROM, On high-order radiation boundary conditions, in Computational Wave Propagation, B. Engquist and G. Kriegsmann, eds., IMA Vol. Math. Appl. 86, Springer-Verlag, New York, 1996, pp. 23-43.
    • (1996) IMA Vol. Math. Appl. , vol.86 , pp. 23-43
    • Hagstrom, T.1
  • 12
    • 0032274931 scopus 로고    scopus 로고
    • Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems
    • I. L. SOFRONOV, Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems, European J. Appl. Math., 9 (1998), pp. 561-588.
    • (1998) European J. Appl. Math. , vol.9 , pp. 561-588
    • Sofronov, I.L.1
  • 13
    • 0031209710 scopus 로고    scopus 로고
    • Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs
    • J. R. DRISCOLL, D. M. HEALY, AND D. N. ROCKMORE, Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs, SIAM J. Comput., 26 (1997), pp. 1066-1099.
    • (1997) SIAM J. Comput. , vol.26 , pp. 1066-1099
    • Driscoll, J.R.1    Healy, D.M.2    Rockmore, D.N.3
  • 14
    • 0347511542 scopus 로고    scopus 로고
    • A fast transform for spherical harmonics
    • M. J. MOHLENKAMP, A fast transform for spherical harmonics, J. Fourier Anal. Appl., 5 (1999), pp. 159-184.
    • (1999) J. Fourier Anal. Appl. , vol.5 , pp. 159-184
    • Mohlenkamp, M.J.1
  • 16
    • 84966250430 scopus 로고
    • Modulus and phase of the reduced logarithmic derivative of the Hankel function
    • A. CRUZ AND J. SESMA, Modulus and phase of the reduced logarithmic derivative of the Hankel function, Math. Comp., 41 (1983), pp. 597-605.
    • (1983) Math. Comp. , vol.41 , pp. 597-605
    • Cruz, A.1    Sesma, J.2
  • 17
    • 0003851731 scopus 로고
    • 10th printing, National Bureau of Standards, Applied Mathematics Series 55, John Wiley and Sons, New York
    • M. ABRAMOWITZ AND I. A. STEGUN, EDS., Handbook of Mathematical Functions, 10th printing, National Bureau of Standards, Applied Mathematics Series 55, John Wiley and Sons, New York, 1972.
    • (1972) Handbook of Mathematical Functions
    • Abramowitz, M.1    Stegun, I.A.2
  • 18
    • 85037496971 scopus 로고    scopus 로고
    • Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation
    • New York University
    • B. ALPERT, L. GREENGARD, AND T. HAGSTROM, Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation, DOE/CMCL Report 00-001, New York University, 2000.
    • (2000) DOE/CMCL Report 00-001
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 20
    • 0000611182 scopus 로고
    • The asymptotic expansion of bessel functions of large order
    • F. W. J. OLVER, The asymptotic expansion of bessel functions of large order, Philos. Trans. Roy. Soc. London Ser. A, 247 (1954), pp. 328-368.
    • (1954) Philos. Trans. Roy. Soc. London Ser. A , vol.247 , pp. 328-368
    • Olver, F.W.J.1
  • 21
    • 0000872001 scopus 로고
    • The asymptotic solution of linear differential equations of the second order for large values of a parameter
    • F. W. J. OLVER, The asymptotic solution of linear differential equations of the second order for large values of a parameter, Philos. Trans. Roy. Soc. London Ser. A, 247 (1954), pp. 307-327.
    • (1954) Philos. Trans. Roy. Soc. London Ser. A , vol.247 , pp. 307-327
    • Olver, F.W.J.1
  • 22
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • L. GREENGARD AND V. ROKHLIN, A fast algorithm for particle simulations, J. Comput. Phys., 73 (1987), pp. 325-348.
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 23
    • 0001717362 scopus 로고
    • An implemenation of the fast multipole method without multipoles
    • C. R. ANDERSON, An implemenation of the fast multipole method without multipoles, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 923-947.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 923-947
    • Anderson, C.R.1
  • 24
    • 0007235470 scopus 로고
    • Rational Chebyshev approximation on the unit disk
    • L. N. TREFETHEN, Rational Chebyshev approximation on the unit disk, Numer. Math., 37 (1981), pp. 297-320.
    • (1981) Numer. Math. , vol.37 , pp. 297-320
    • Trefethen, L.N.1
  • 25
    • 84968513674 scopus 로고
    • Real and complex Chebyshev approximation on the unit disk and interval
    • M. H. GUTKNECHT AND L. N. TREFETHEN, Real and complex Chebyshev approximation on the unit disk and interval, Bull. Amer. Math. Soc. (New Ser.), 8 (1983), pp. 455-458.
    • (1983) Bull. Amer. Math. Soc. (New Ser.) , vol.8 , pp. 455-458
    • Gutknecht, M.H.1    Trefethen, L.N.2
  • 26
    • 0042228807 scopus 로고
    • Rational Carathéodory-Fejér approximation on a disk, a circle, and an interval
    • M. H. GUTKNECHT, Rational Carathéodory-Fejér approximation on a disk, a circle, and an interval, J. Approx. Theory, 41 (1984), pp. 257-278.
    • (1984) J. Approx. Theory , vol.41 , pp. 257-278
    • Gutknecht, M.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.