메뉴 건너뛰기




Volumn 190, Issue 11-12, 2000, Pages 1551-1577

Computation of far-field solutions based on exact nonreflecting boundary conditions for the time-dependent wave equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

EID: 0034514844     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00178-X     Document Type: Article
Times cited : (13)

References (41)
  • 1
    • 0039108973 scopus 로고
    • Numerical solution forvtransient scattering from a hard surface of arbitrary shape - Retarded potential technique
    • K.M. Mitzner, Numerical solution forvtransient scattering from a hard surface of arbitrary shape - retarded potential technique, J. Acoust. Soc. Am. 42 (1967) 391-397.
    • (1967) J. Acoust. Soc. Am. , vol.42 , pp. 391-397
    • Mitzner, K.M.1
  • 2
    • 0040292975 scopus 로고
    • Transient acoustic fields generated by a body of arbitrary shape
    • C.L.S. Farn, H. Huan, Transient acoustic fields generated by a body of arbitrary shape, J. Acoust. Soc. Am. 43 (1968) 252-257.
    • (1968) J. Acoust. Soc. Am. , vol.43 , pp. 252-257
    • Farn, C.L.S.1    Huan, H.2
  • 3
    • 0017680552 scopus 로고
    • Retarded potential techniques for the analysis of submerged structures impinged by weak shock waves
    • T. Belytschko, T. Geers (Eds.), ASME AMD
    • H. Huan, G.C. Everstine and Y.F. Wang, Retarded potential techniques for the analysis of submerged structures impinged by weak shock waves, in: T. Belytschko, T. Geers (Eds.), Computational Methods for Fluid-Structure Interaction Problems, ASME AMD 26, 1977.
    • (1977) Computational Methods for Fluid-Structure Interaction Problems , vol.26
    • Huan, H.1    Everstine, G.C.2    Wang, Y.F.3
  • 4
    • 0039427002 scopus 로고
    • Solution of the retarded potential equation and numerical stability
    • C.A. Brebbia (Ed.), Boundary Elements VI. July
    • P.H.L. Groenenboom, Solution of the retarded potential equation and numerical stability, in: C.A. Brebbia (Ed.), Boundary Elements VI. in: Proceedings of the Sixth International Conference, July 1984.
    • (1984) Proceedings of the Sixth International Conference
    • Groenenboom, P.H.L.1
  • 5
    • 0031253258 scopus 로고    scopus 로고
    • Stabilizing the retarded potential method for transient fluid-structure interaction problems
    • C.T. Dyka, R.P. Ingel, G.C. Kirby, Stabilizing the retarded potential method for transient fluid-structure interaction problems, Int. J. Numer. Methods Engrg. 40 (1997) 3767-3783.
    • (1997) Int. J. Numer. Methods Engrg. , vol.40 , pp. 3767-3783
    • Dyka, C.T.1    Ingel, R.P.2    Kirby, G.C.3
  • 6
    • 0003285534 scopus 로고
    • Numerical methods for problems in infinite domains
    • Elsevier, Amsterdam
    • D. Givoli, Numerical methods for problems in infinite domains, Studies in Applied Mechanics, 33, Elsevier, Amsterdam, 1992.
    • (1992) Studies in Applied Mechanics , vol.33
    • Givoli, D.1
  • 7
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains: A review
    • S. Tsynkov, Numerical solution of problems on unbounded domains: A review, Appl. Numer. Math. 27 (1998) 465-532.
    • (1998) Appl. Numer. Math. , vol.27 , pp. 465-532
    • Tsynkov, S.1
  • 8
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • A. Bayliss, E. Turkel, Radiation boundary conditions for wave-like equations, Commun. Pure Appl. Math. 33 (1980) 707-725.
    • (1980) Commun. Pure Appl. Math. , vol.33 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 9
    • 0026102925 scopus 로고
    • Finite element solution of the transient exterior structural acoustics problem based on the use of radially asymptotic boundary operators
    • P.M. Pinsky, N.N. Abboud, Finite element solution of the transient exterior structural acoustics problem based on the use of radially asymptotic boundary operators, Comput. Methods Appl. Mech. Engrg. 85 (1991) 311-348.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.85 , pp. 311-348
    • Pinsky, P.M.1    Abboud, N.N.2
  • 10
    • 0026749979 scopus 로고
    • Local high-order radiation boundary conditions for the two-dimensional time-dependent structural acoustics problem
    • P.M. Pinsky, L.L. Thompson, N.N. Abboud, Local high-order radiation boundary conditions for the two-dimensional time-dependent structural acoustics problem, J. Acoust. Soc. Am. 91 (3) (1992) 1320-1335.
    • (1992) J. Acoust. Soc. Am. , vol.91 , Issue.3 , pp. 1320-1335
    • Pinsky, P.M.1    Thompson, L.L.2    Abboud, N.N.3
  • 11
    • 0029891942 scopus 로고    scopus 로고
    • A space-time finite element method for the exterior acoustics problem
    • L.L. Thompson, P.M. Pinsky, A space-time finite element method for the exterior acoustics problem, J. Acoust. Soc. Am. 99 (6) (1996) 3297-3311.
    • (1996) J. Acoust. Soc. Am. , vol.99 , Issue.6 , pp. 3297-3311
    • Thompson, L.L.1    Pinsky, P.M.2
  • 12
    • 0029292813 scopus 로고
    • Exact nonreflecting boundary conditions for the time dependent wave equation
    • M.J. Grote, J.B. Keller, Exact nonreflecting boundary conditions for the time dependent wave equation, SIAM J. Appl. Math. 55 (1995) 280-297.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 280-297
    • Grote, M.J.1    Keller, J.B.2
  • 13
    • 0030209904 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for time dependent scattering
    • M.J. Grote, J.B. Keller, Nonreflecting boundary conditions for time dependent scattering, J. Comput. Phys. 127 (1996) 52-65.
    • (1996) J. Comput. Phys. , vol.127 , pp. 52-65
    • Grote, M.J.1    Keller, J.B.2
  • 14
    • 0033704196 scopus 로고    scopus 로고
    • Implementation of exact nonreflecting boundary conditions in the finite element method for the time-dependent wave equation
    • L.L. Thompson, R. Huan, Implementation of exact nonreflecting boundary conditions in the finite element method for the time-dependent wave equation, Comput. Methods Appl. Mech. Engrg. 187 (2000) 137-159.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.187 , pp. 137-159
    • Thompson, L.L.1    Huan, R.2
  • 15
    • 0033588430 scopus 로고    scopus 로고
    • Finite element formulation of exact nonreflecting boundary conditions for the time-dependent wave equation
    • L.L. Thompson, R. Huan, Finite element formulation of exact nonreflecting boundary conditions for the time-dependent wave equation, Int. J. Numer. Methods Engrg. 45 (1999) 1607-1630.
    • (1999) Int. J. Numer. Methods Engrg. , vol.45 , pp. 1607-1630
    • Thompson, L.L.1    Huan, R.2
  • 16
    • 0033872244 scopus 로고    scopus 로고
    • Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains
    • R. Huan, L.L.Thompson, Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains, Int. J. Numer. Methods Engrg. 47 (2000) 1569-1603.
    • (2000) Int. J. Numer. Methods Engrg. , vol.47 , pp. 1569-1603
    • Huan, R.1    Thompson, L.L.2
  • 17
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • T. Hagstrom, S. Hariharan, A formulation of asymptotic and exact boundary conditions using local operators, Appl. Numer. Math. 27 (1998) 403-416.
    • (1998) Appl. Numer. Math. , vol.27 , pp. 403-416
    • Hagstrom, T.1    Hariharan, S.2
  • 18
    • 0000985886 scopus 로고    scopus 로고
    • Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation
    • in press
    • B. Alpert, L. Greengard and T. Hagstrom, Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation, SIAM J. Numer. Anal., in press.
    • SIAM J. Numer. Anal.
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 19
    • 28044459877 scopus 로고    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. 114 185-200.
    • J. Comput. Phys. , vol.114 , pp. 185-200
    • Berenger, J.P.1
  • 21
    • 0001700219 scopus 로고
    • Exact boundary conditions for scattering problems
    • L. Ting, M. Miksis, Exact boundary conditions for scattering problems, J. Acoust. Soc. Am. 80 (1986) 1825-1827.
    • (1986) J. Acoust. Soc. Am. , vol.80 , pp. 1825-1827
    • Ting, L.1    Miksis, M.2
  • 22
    • 0000778752 scopus 로고
    • Nonreflecting boundary conditions based on Kirchoff-type formulae
    • D. Givoli, D. Kohen, Nonreflecting boundary conditions based on Kirchoff-type formulae, J. Comput. Phys. 117 (1995) 102-113.
    • (1995) J. Comput. Phys. , vol.117 , pp. 102-113
    • Givoli, D.1    Kohen, D.2
  • 23
    • 0000271460 scopus 로고
    • Exact nonreflecting boundary conditions
    • J.B. Keller, D. Givoli, Exact nonreflecting boundary conditions, J. Comput. Phys. 82 (1989) 172-192.
    • (1989) J. Comput. Phys. , vol.82 , pp. 172-192
    • Keller, J.B.1    Givoli, D.2
  • 24
    • 0024704123 scopus 로고
    • An exact radiation boundary condition for the finite-element solution of electromagnetic scattering on an open domain
    • L.W. Pearson, R.A. Whitaker, L.J. Bahrmasel, An exact radiation boundary condition for the finite-element solution of electromagnetic scattering on an open domain, IEEE Trans. Magn. 25 (4) (1989) 3046-3048.
    • (1989) IEEE Trans. Magn. , vol.25 , Issue.4 , pp. 3046-3048
    • Pearson, L.W.1    Whitaker, R.A.2    Bahrmasel, L.J.3
  • 25
    • 0001025850 scopus 로고
    • Conditions for complete transparency on the sphere for the three-dimensional wave equation
    • I. Sofronov, Conditions for complete transparency on the sphere for the three-dimensional wave equation, Russian Acad. Sci. Dokl. Math. 46 (1993) 397-401.
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.46 , pp. 397-401
    • Sofronov, I.1
  • 26
    • 0343858047 scopus 로고    scopus 로고
    • Artificial boundary conditions for absolute transparency for two- And three-dimensional external time-dependent scattering problems
    • I. Sofronov, Artificial boundary conditions for absolute transparency for two- and three-dimensional external time-dependent scattering problems, Euro. J. Appl. Math., 1999.
    • (1999) Euro. J. Appl. Math.
    • Sofronov, I.1
  • 27
    • 0027848269 scopus 로고
    • New space-time finite element methods for fluid-structure interaction in exterior domains, Comput
    • AMD ASME
    • L. L. Thompson, P. M. Pinsky, New space-time finite element methods for fluid-structure interaction in exterior domains, Comput. Methods Fluid/Structure Interac. AMD-vol. 178, ASME (1993) 101-120.
    • (1993) Methods Fluid/Structure Interac. , vol.178 , pp. 101-120
    • Thompson, L.L.1    Pinsky, P.M.2
  • 28
    • 0030171759 scopus 로고    scopus 로고
    • A space-time finite element method for structural acoustics in infinite domains, part 2: Exact time-dependent non-reflecting boundary conditions
    • L.L. Thompson, P.M. Pinsky, A space-time finite element method for structural acoustics in infinite domains, part 2: Exact time-dependent non-reflecting boundary conditions, Comput. Methods Appl. Mech. Engrg. 132 (1996) 229-258.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.132 , pp. 229-258
    • Thompson, L.L.1    Pinsky, P.M.2
  • 29
    • 0004168443 scopus 로고
    • Cambridge University Press, Cambridge, Eq. (4)
    • H. Lamb, Hydrodynamics, fourth Ed., Cambridge University Press, Cambridge, 1916, p. 517, Eq. (4).
    • (1916) Hydrodynamics, Fourth Ed. , pp. 517
    • Lamb, H.1
  • 32
    • 84977085392 scopus 로고
    • Review: The use of Kirchoffs method in computational aeroacoustics
    • A.S. Lyrintzis, Review: the use of Kirchoffs method in computational aeroacoustics, J. Fluids Engrg. 116 (12) (1994) 665-676.
    • (1994) J. Fluids Engrg. , vol.116 , Issue.12 , pp. 665-676
    • Lyrintzis, A.S.1
  • 33
    • 0029390346 scopus 로고
    • Direct time integration methods for structural acoustics and far-field scattering computations
    • J.P. Wright, Direct time integration methods for structural acoustics and far-field scattering computations, ASME J. Vib. Acoust. 117 (1995) 488-492.
    • (1995) ASME J. Vib. Acoust. , vol.117 , pp. 488-492
    • Wright, J.P.1
  • 36
    • 0031209710 scopus 로고    scopus 로고
    • Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs
    • J. Driscoll, D. Healy, D. Rockmore, Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs, SIAM J. Comput. 26 (1997) 1066-1099.
    • (1997) SIAM J. Comput. , vol.26 , pp. 1066-1099
    • Driscoll, J.1    Healy, D.2    Rockmore, D.3
  • 37
    • 0003851731 scopus 로고
    • Washington, DC: National Bureau of Standards, Reprinted by Dover Publications, New York
    • M. Abramowitz, I. Stegun, (Eds.), Handbook of Mathematical Functions, Washington, DC: National Bureau of Standards, 1964. Reprinted by Dover Publications, New York, 1968, pp. 751-770.
    • (1964) Handbook of Mathematical Functions , pp. 751-770
    • Abramowitz, M.1    Stegun, I.2
  • 38
    • 0000765110 scopus 로고
    • Numerical solution of a nonlinear Klein-Gordon equation
    • W. Strauss, L. Vazquez, Numerical solution of a nonlinear Klein-Gordon equation, J. Comput. Phys. 28 (1978) 271-278.
    • (1978) J. Comput. Phys. , vol.28 , pp. 271-278
    • Strauss, W.1    Vazquez, L.2
  • 41
    • 84955033020 scopus 로고
    • Transient radiation from pistons in an infinite planar baffle
    • P.R. Stepanishen, Transient radiation from pistons in an infinite planar baffle, J. Acoust. Soc. Am. 49 (1971) 1629-1638.
    • (1971) J. Acoust. Soc. Am. , vol.49 , pp. 1629-1638
    • Stepanishen, P.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.