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Volumn 37, Issue 3, 2003, Pages 257-271

High-order non-reflecting boundary conditions for dispersive waves

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0037370956     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(02)00074-4     Document Type: Article
Times cited : (56)

References (38)
  • 2
    • 2142739347 scopus 로고
    • Non-reflecting boundary conditions: A review
    • D. Givoli, Non-reflecting boundary conditions: a review, J. Comput. Phys. 94 (1991) 1-29.
    • (1991) J. Comput. Phys. , vol.94 , pp. 1-29
    • Givoli, D.1
  • 3
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains: A review
    • S.V. 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.V.1
  • 4
    • 0033221790 scopus 로고    scopus 로고
    • Exact representations on artificial interfaces and applications in mechanics
    • D. Givoli, Exact representations on artificial interfaces and applications in mechanics, Appl. Mech. Rev. 52 (1999) 333-349.
    • (1999) Appl. Mech. Rev. , vol.52 , pp. 333-349
    • Givoli, D.1
  • 5
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic calculations
    • B. Engquist, A. Majda, Radiation boundary conditions for acoustic and elastic calculations, Comm. Pure Appl. Math. 32 (1979) 313-357.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 313-357
    • Engquist, B.1    Majda, A.2
  • 6
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • A. Bayliss, E. Turkel, Radiation boundary conditions for wave-like equations, Comm. Pure Appl. Math. 33 (1980) 707-725.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 7
    • 0000271460 scopus 로고
    • Exact non-reflecting boundary conditions
    • J.B. Keller, D. Givoli, Exact non-reflecting 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
  • 8
    • 0025421673 scopus 로고
    • Non-reflecting boundary conditions for elastic waves
    • D. Givoli, J.B. Keller, Non-reflecting boundary conditions for elastic waves, Wave Motion 12 (1990) 261-279.
    • (1990) Wave Motion , vol.12 , pp. 261-279
    • Givoli, D.1    Keller, J.B.2
  • 9
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • J.P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114 (1994) 185-200.
    • (1994) J. Comput. Phys. , vol.114 , pp. 185-200
    • Bérenger, J.P.1
  • 10
    • 0000766738 scopus 로고
    • High order absorbing boundary conditions for wave propagation models. Straight line boundary and corner cases
    • R. Kleinman, et al. (Eds.), SIAM, Delaware
    • F. Collino, High order absorbing boundary conditions for wave propagation models. Straight line boundary and corner cases, in: R. Kleinman, et al. (Eds.), Proceedings of the Second International Conference on Mathematical and Numerical Aspects of Wave Propagation, SIAM, Delaware, 1993, pp. 161-171.
    • (1993) Proceedings of the Second International Conference on Mathematical and Numerical Aspects of Wave Propagation , pp. 161-171
    • Collino, F.1
  • 11
    • 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
  • 12
    • 0033708024 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for elastic waves
    • M.J. Grote, J.B. Keller, Nonreflecting boundary conditions for elastic waves, SIAM J. Appl. Math. 60 (2000) 803-819.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 803-819
    • Grote, M.J.1    Keller, J.B.2
  • 13
    • 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, Russ. Acad. Dci. Dokl. Math. 46 (1993) 397-401.
    • (1993) Russ. Acad. Dci. Dokl. Math. , vol.46 , pp. 397-401
    • Sofronov, I.L.1
  • 14
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • T. Hagstrom, S.I. 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.I.2
  • 15
    • 0034345543 scopus 로고    scopus 로고
    • Continued-fraction absorbing boundary conditions for the wave equation
    • M.N. Guddati, J.L. Tassoulas, Continued-fraction absorbing boundary conditions for the wave equation, J. Comput. Acoust. 8 (2000) 139-156.
    • (2000) J. Comput. Acoust. , vol.8 , pp. 139-156
    • Guddati, M.N.1    Tassoulas, J.L.2
  • 16
    • 0000797694 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions without high-order derivatives
    • D. Givoli, High-order non-reflecting boundary conditions without high-order derivatives, J. Comput. Phys. 170 (2001) 849-870.
    • (2001) J. Comput. Phys. , vol.170 , pp. 849-870
    • Givoli, D.1
  • 17
    • 0037051758 scopus 로고    scopus 로고
    • An optimal high-order non-reflecting finite element scheme for wave scattering problems
    • D. Givoli, I. Patlashenko, An optimal high-order non-reflecting finite element scheme for wave scattering problems, Int. J. Numer. Meth. Eng. 53 (2002) 2389-2411.
    • (2002) Int. J. Numer. Meth. Eng. , vol.53 , pp. 2389-2411
    • Givoli, D.1    Patlashenko, I.2
  • 20
    • 0028374972 scopus 로고
    • Radiation boundary conditions for dispersive waves
    • R.L. Higdon, Radiation boundary conditions for dispersive waves, SIAM J. Numer. Anal. 31 (1994) 64-100.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 64-100
    • Higdon, R.L.1
  • 21
    • 84966222177 scopus 로고
    • Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation
    • R.L. Higdon, Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation, Math. Comput. 47 (1986) 437-459.
    • (1986) Math. Comput. , vol.47 , pp. 437-459
    • Higdon, R.L.1
  • 22
    • 0002618740 scopus 로고
    • Numerical absorbing boundary conditions for the wave equation
    • R.L. Higdon, Numerical absorbing boundary conditions for the wave equation, Math. Comput. 49 (1987) 65-90.
    • (1987) Math. Comput. , vol.49 , pp. 65-90
    • Higdon, R.L.1
  • 23
    • 0025476463 scopus 로고
    • Radiation boundary conditions for elastic wave propagation
    • R.L. Higdon, Radiation boundary conditions for elastic wave propagation, SIAM J. Numer. Anal. 27 (1990) 831-870.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 831-870
    • Higdon, R.L.1
  • 24
    • 0025925925 scopus 로고
    • Absorbing boundary conditions for elastic waves
    • R.L. Higdon, Absorbing boundary conditions for elastic waves, Geophysics 56 (1991) 231-241.
    • (1991) Geophysics , vol.56 , pp. 231-241
    • Higdon, R.L.1
  • 25
    • 0000949380 scopus 로고
    • Absorbing boundary conditions for acoustic and elastic waves in stratified media
    • R.L. Higdon, Absorbing boundary conditions for acoustic and elastic waves in stratified media, J. Comput. Phys. 101 (1992) 386-418.
    • (1992) J. Comput. Phys. , vol.101 , pp. 386-418
    • Higdon, R.L.1
  • 26
    • 0000851502 scopus 로고
    • Consistent boundary conditions for the numerical models of systems that admit dispersive waves
    • R.A. Pearson, Consistent boundary conditions for the numerical models of systems that admit dispersive waves, J. Atmos. Sci. 31 (1974) 1418-1489.
    • (1974) J. Atmos. Sci. , vol.31 , pp. 1418-1489
    • Pearson, R.A.1
  • 27
    • 0016870918 scopus 로고
    • A simple boundary condition for unbounded hyperbolic flows
    • I. Orlanski, A simple boundary condition for unbounded hyperbolic flows, J. Comput. Phys. 21 (1976) 251-269.
    • (1976) J. Comput. Phys. , vol.21 , pp. 251-269
    • Orlanski, I.1
  • 28
    • 0021638932 scopus 로고
    • A radiation boundary condition for multi-dimensional flows
    • W.H. Raymond, H.L. Kuo, A radiation boundary condition for multi-dimensional flows, Q.J.R. Meteorol. Soc. 110 (1984) 535-551.
    • (1984) Q.J.R. Meteorol. Soc. , vol.110 , pp. 535-551
    • Raymond, W.H.1    Kuo, H.L.2
  • 29
    • 0019655459 scopus 로고
    • Radiation conditions for the lateral boundaries of limited-area numerical models
    • M.J. Miller, A.J. Thorpe, Radiation conditions for the lateral boundaries of limited-area numerical models, Q.J.R. Meteorol. Soc. 107 (1981) 615-628.
    • (1981) Q.J.R. Meteorol. Soc. , vol.107 , pp. 615-628
    • Miller, M.J.1    Thorpe, A.J.2
  • 30
    • 0017824625 scopus 로고
    • Numerical simulation of hydrostatic mountain waves
    • J.B. Klemp, D.K. Lilly, Numerical simulation of hydrostatic mountain waves, J. Atmos. Sci. 35 (1978) 78-107.
    • (1978) J. Atmos. Sci. , vol.35 , pp. 78-107
    • Klemp, J.B.1    Lilly, D.K.2
  • 31
    • 0000823772 scopus 로고
    • The use of open boundary conditions with the storm-surge equations
    • M.Wurtele, J. Paegle, A. Sielecki, The use of open boundary conditions with the storm-surge equations, Mon. Wea. Rev. 99 (1971) 537-544.
    • (1971) Mon. Wea. Rev. , vol.99 , pp. 537-544
    • Wurtele, M.1    Paegle, J.2    Sielecki, A.3
  • 32
    • 0001115236 scopus 로고    scopus 로고
    • The naval research laboratory's coupled ocean/atmosphere mesoscale prediction system (COAMPS)
    • R.M. Hodur, The naval research laboratory's coupled ocean/atmosphere mesoscale prediction system (COAMPS), Mon. Wea. Rev. 125 (1997) 1414-1430.
    • (1997) Mon. Wea. Rev. , vol.125 , pp. 1414-1430
    • Hodur, R.M.1
  • 33
    • 0031105169 scopus 로고    scopus 로고
    • Open boundary conditions for obliquely propagating nonlinear shallow-water waves in a wave channel
    • X. Ren, K.H. Wang, K.R. Jin, Open boundary conditions for obliquely propagating nonlinear shallow-water waves in a wave channel, Comput. Fluids 26 (1997) 269-278.
    • (1997) Comput. Fluids , vol.26 , pp. 269-278
    • Ren, X.1    Wang, K.H.2    Jin, K.R.3
  • 34
    • 0031773212 scopus 로고    scopus 로고
    • Open boundary conditions in stratified ocean models
    • T.G. Jensen, Open boundary conditions in stratified ocean models, J. Mar. Syst. 16 (1998) 297-322.
    • (1998) J. Mar. Syst. , vol.16 , pp. 297-322
    • Jensen, T.G.1
  • 35
    • 0035238994 scopus 로고    scopus 로고
    • Improvement on open boundaries on a time dependent numerical model of wave propagation in the nearshore region
    • F.S.B.F. Oliveira, Improvement on open boundaries on a time dependent numerical model of wave propagation in the nearshore region, Ocean Eng. 28 (2000) 95-115.
    • (2000) Ocean Eng. , vol.28 , pp. 95-115
    • Oliveira, F.S.B.F.1
  • 37
    • 0001818026 scopus 로고
    • Symmetric linear multistep methods for second order differential equations with periodic solutions
    • B.P. Sommeijer, P.J. van der Houwen, B. Neta, Symmetric linear multistep methods for second order differential equations with periodic solutions, Appl. Numer. Math. 2 (1986) 69-77.
    • (1986) Appl. Numer. Math. , vol.2 , pp. 69-77
    • Sommeijer, B.P.1    van der Houwen, P.J.2    Neta, B.3


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