메뉴 건너뛰기




Volumn 143, Issue 1, 1998, Pages 200-223

Dirichlet-to-Neumann Maps for Unbounded Wave Guides

Author keywords

[No Author keywords available]

Indexed keywords

TENSORS;

EID: 0001168901     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5960     Document Type: Article
Times cited : (75)

References (56)
  • 1
    • 0030126105 scopus 로고    scopus 로고
    • FE mode-matching schemes for the exterior Helmholtz problem and their relationship to the FE-DtN approach
    • Astley R. J. FE mode-matching schemes for the exterior Helmholtz problem and their relationship to the FE-DtN approach. Comm. Numer. Methods Eng. 12:1996;257.
    • (1996) Comm. Numer. Methods Eng. , vol.12 , pp. 257
    • Astley, R.J.1
  • 3
    • 0021462701 scopus 로고
    • The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics
    • Bayliss A., Goldstein C. I., Turkel E. The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics. Comput. Math. Appl. 11:1985;655.
    • (1985) Comput. Math. Appl. , vol.11 , pp. 655
    • Bayliss, A.1    Goldstein, C.I.2    Turkel, E.3
  • 4
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • Bayliss A., Turkel E. Radiation boundary conditions for wave-like equations. Comm. Pure Appl. Math. 33:1980;707.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 707
    • Bayliss, A.1    Turkel, E.2
  • 5
    • 0001089675 scopus 로고
    • Far field boundary conditions for compressible flows
    • Bayliss A., Turkel E. Far field boundary conditions for compressible flows. J. Comput. Phys. 48:1982;182.
    • (1982) J. Comput. Phys. , vol.48 , pp. 182
    • Bayliss, A.1    Turkel, E.2
  • 6
    • 0024916866 scopus 로고
    • Multidimensional travelling wave solutions to reaction-diffusion equations
    • Buonincontri S., Hagstrom T. Multidimensional travelling wave solutions to reaction-diffusion equations. IMA J. Appl. Math. 43:1989;261.
    • (1989) IMA J. Appl. Math. , vol.43 , pp. 261
    • Buonincontri, S.1    Hagstrom, T.2
  • 7
    • 0001039495 scopus 로고
    • Spectral methods for exterior elliptic problems
    • Canuto C., Hariharan S. I., Lustman L. Spectral methods for exterior elliptic problems. Numer. Math. 46:1985;505.
    • (1985) Numer. Math. , vol.46 , pp. 505
    • Canuto, C.1    Hariharan, S.I.2    Lustman, L.3
  • 9
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • Engquist B., Majda A. Absorbing boundary conditions for the numerical simulation of waves. Math. Comp. 31:1977;629.
    • (1977) Math. Comp. , vol.31 , pp. 629
    • Engquist, B.1    Majda, A.2
  • 10
    • 0000993524 scopus 로고
    • Asymptotic radiation conditions for reduced wave equation
    • Feng K. Asymptotic radiation conditions for reduced wave equation. J. Comput. Math. 2:1984;130.
    • (1984) J. Comput. Math. , vol.2 , pp. 130
    • Feng, K.1
  • 11
    • 0020249251 scopus 로고
    • A down-stream boundary procedure for the Euler equations
    • Ferm L., Gustafsson B. A down-stream boundary procedure for the Euler equations. Comput. Fluids. 10:1982;261.
    • (1982) Comput. Fluids , vol.10 , pp. 261
    • Ferm, L.1    Gustafsson, B.2
  • 12
    • 0006071251 scopus 로고
    • The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems
    • Gatica G. N., Hsiao G. C. The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems. Numer. Funct. Anal. Optim. 13:1992;431.
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 431
    • Gatica, G.N.1    Hsiao, G.C.2
  • 14
    • 0024984795 scopus 로고
    • A combined analytic-finite element method for elastic shells
    • Givoli D. A combined analytic-finite element method for elastic shells. Int. J. Solids Struct. 26:1990;185.
    • (1990) Int. J. Solids Struct. , vol.26 , pp. 185
    • Givoli, D.1
  • 15
    • 2142739347 scopus 로고
    • Nonreflecting boundary conditions
    • Givoli D. Nonreflecting boundary conditions. J. Comput. Phys. 94:1991.
    • (1991) J. Comput. Phys. , vol.94
    • Givoli, D.1
  • 17
    • 0026815499 scopus 로고
    • A spatially exact nonreflecting boundary condition for time dependent problems
    • Givoli D. A spatially exact nonreflecting boundary condition for time dependent problems. Comput. Methods Appl. Mech. Eng. 95:1992;97.
    • (1992) Comput. Methods Appl. Mech. Eng. , vol.95 , pp. 97
    • Givoli, D.1
  • 18
    • 0000778752 scopus 로고
    • Nonreflecting boundary conditions based on Kirchhoff-type formulae
    • Givoli D., Cohen D. Nonreflecting boundary conditions based on Kirchhoff-type formulae. J. Comput. Phys. 117:1995;102.
    • (1995) J. Comput. Phys. , vol.117 , pp. 102
    • Givoli, D.1    Cohen, D.2
  • 20
    • 0025421673 scopus 로고
    • Nonreflecting boundary conditions for elastic waves
    • Givoli D., Keller J. B. Nonreflecting boundary conditions for elastic waves. Wave Motion. 12:1990;261.
    • (1990) Wave Motion , vol.12 , pp. 261
    • Givoli, D.1    Keller, J.B.2
  • 23
    • 0027789037 scopus 로고
    • Artificial boundary conditions for 2D problems in geophysics
    • Givoli D., Vigdergauz S. Artificial boundary conditions for 2D problems in geophysics. Comput. Methods Appl. Mech. Eng. 110:1993;87.
    • (1993) Comput. Methods Appl. Mech. Eng. , vol.110 , pp. 87
    • Givoli, D.1    Vigdergauz, S.2
  • 24
    • 84966235520 scopus 로고
    • A finite element method for solving Helmholtz type equations in waveguides and other unbounded domains
    • Goldstein C. I. A finite element method for solving Helmholtz type equations in waveguides and other unbounded domains. Math. Comp. 39:1982;309.
    • (1982) Math. Comp. , vol.39 , pp. 309
    • Goldstein, C.I.1
  • 25
    • 0029292813 scopus 로고
    • Exact nonreflecting boundary conditions for the time dependent wave equation
    • Grote M. J., Keller J. B. Exact nonreflecting boundary conditions for the time dependent wave equation. SIAM J. Appl. Math. 55:1995;280.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 280
    • Grote, M.J.1    Keller, J.B.2
  • 26
    • 0000907608 scopus 로고
    • On nonreflecting boundary conditions
    • Grote M. J., Keller J. B. On nonreflecting boundary conditions. J. Comput. Phys. 122:1995;231.
    • (1995) J. Comput. Phys. , vol.122 , pp. 231
    • Grote, M.J.1    Keller, J.B.2
  • 27
    • 0030209904 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for time-dependent scattering
    • Grote M. J., Keller J. B. Nonreflecting boundary conditions for time-dependent scattering. J. Comput. Phys. 127:1996;52.
    • (1996) J. Comput. Phys. , vol.127 , pp. 52
    • Grote, M.J.1    Keller, J.B.2
  • 28
    • 0013248951 scopus 로고
    • Boundary conditions for time-dependent problems with an artificial boundary
    • Gustafsson B., Kreiss H.-O. Boundary conditions for time-dependent problems with an artificial boundary. J. Comput. Phys. 30:1979;333.
    • (1979) J. Comput. Phys. , vol.30 , pp. 333
    • Gustafsson, B.1    Kreiss, H.-O.2
  • 29
    • 38249035984 scopus 로고
    • Boundary conditions at outflow for a problem with transport and diffusion
    • Hagstrom T. Boundary conditions at outflow for a problem with transport and diffusion. J. Comput. Phys. 69:1987;69.
    • (1987) J. Comput. Phys. , vol.69 , pp. 69
    • Hagstrom, T.1
  • 30
    • 84966230460 scopus 로고
    • Asymptotic boundary conditions for dissipative waves: General theory
    • Hagstrom T. Asymptotic boundary conditions for dissipative waves: General theory. Math. Comp. 56:1991;589.
    • (1991) Math. Comp. , vol.56 , pp. 589
    • Hagstrom, T.1
  • 31
    • 0001470437 scopus 로고
    • Conditions at the downstream boundary for simulations of viscous, incompressible flow
    • Hagstrom T. Conditions at the downstream boundary for simulations of viscous, incompressible flow. SIAM J. Sci. Statist. Comput. 12:1991;843.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 843
    • Hagstrom, T.1
  • 32
    • 0001209974 scopus 로고
    • Exact boundary conditions at an artificial boundary for partial differential equations in cylinders
    • Hagstrom T., Keller H. B. Exact boundary conditions at an artificial boundary for partial differential equations in cylinders. SIAM J. Math. Anal. 17:1986;322.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 322
    • Hagstrom, T.1    Keller, H.B.2
  • 33
    • 84966231058 scopus 로고
    • Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains
    • Hagstrom T., Keller H. B. Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Math. Comp. 48:1987;449.
    • (1987) Math. Comp. , vol.48 , pp. 449
    • Hagstrom, T.1    Keller, H.B.2
  • 34
    • 0026862372 scopus 로고
    • Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains
    • Harari I., Hughes T. J. R. Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains. Comput. Methods Appl. Mech. Eng. 97:1992;103.
    • (1992) Comput. Methods Appl. Mech. Eng. , vol.97 , pp. 103
    • Harari, I.1    Hughes, T.J.R.2
  • 35
    • 0000288806 scopus 로고
    • Galerkin/least-squares finite element methods for the reduced wave equation with nonreflecting boundary conditions in unbounded domains
    • Harari I., Hughes T. J. R. Galerkin/least-squares finite element methods for the reduced wave equation with nonreflecting boundary conditions in unbounded domains. Comput. Methods. Appl. Mech. Eng. 98:1992;411.
    • (1992) Comput. Methods. Appl. Mech. Eng. , vol.98 , pp. 411
    • Harari, I.1    Hughes, T.J.R.2
  • 37
    • 0000271460 scopus 로고
    • Exact nonreflecting boundary conditions
    • Keller J. B., Givoli D. Exact nonreflecting boundary conditions. J. Comput. Phys. 82:1989;172.
    • (1989) J. Comput. Phys. , vol.82 , pp. 172
    • Keller, J.B.1    Givoli, D.2
  • 38
    • 0008829458 scopus 로고
    • Radiation conditions for wave guide problems
    • Kriegsmann G. A. Radiation conditions for wave guide problems. SIAM J. Sci. Statist. Comput. 3:1982;318.
    • (1982) SIAM J. Sci. Statist. Comput. , vol.3 , pp. 318
    • Kriegsmann, G.A.1
  • 39
    • 0000023865 scopus 로고
    • The localized finite element method and its application to the two-dimensional sea-keeping problem
    • Lenoir M., Tounsi A. The localized finite element method and its application to the two-dimensional sea-keeping problem. SIAM J. Numer. Anal. 25:1988;729.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 729
    • Lenoir, M.1    Tounsi, A.2
  • 41
    • 0027009859 scopus 로고
    • Integral equations for a class of problems concerning obstacles in waveguides
    • Linton C. M., Evans D. V. Integral equations for a class of problems concerning obstacles in waveguides. J. Fluid Mech. 245:1992;349.
    • (1992) J. Fluid Mech. , vol.245 , pp. 349
    • Linton, C.M.1    Evans, D.V.2
  • 42
    • 0040669290 scopus 로고
    • A finite element method for exterior interface domains
    • MacCamy R. C., Marin S. P. A finite element method for exterior interface domains. Int. J. Math. Sci. 3:1980;311.
    • (1980) Int. J. Math. Sci. , vol.3 , pp. 311
    • MacCamy, R.C.1    Marin, S.P.2
  • 43
    • 0030283626 scopus 로고    scopus 로고
    • A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition
    • Malhotra M., Pinsky P. M. A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition. Int. J. Numer. Methods Eng. 39:1996;3705.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 3705
    • Malhotra, M.1    Pinsky, P.M.2
  • 44
    • 0025847997 scopus 로고
    • A generalized impedance method for application of the parabolic approximation to underwater acoustics
    • Marcus S. W. A generalized impedance method for application of the parabolic approximation to underwater acoustics. J. Acoust. Soc. Am. 90:1991;391.
    • (1991) J. Acoust. Soc. Am. , vol.90 , pp. 391
    • Marcus, S.W.1
  • 45
    • 0002424308 scopus 로고
    • Numerical solution for exterior problems
    • Masmoudi M. Numerical solution for exterior problems. Numer. Math. 51:1987;87.
    • (1987) Numer. Math. , vol.51 , pp. 87
    • Masmoudi, M.1
  • 46
    • 0024704470 scopus 로고
    • Radiation conditions and uniqueness theorems for open waveguides
    • Nosich A. I., Shestopalov V. P. Radiation conditions and uniqueness theorems for open waveguides. Soviet J. Comm. Tech. Electron. 34:1989;107.
    • (1989) Soviet J. Comm. Tech. Electron. , vol.34 , pp. 107
    • Nosich, A.I.1    Shestopalov, V.P.2
  • 47
    • 0030136479 scopus 로고    scopus 로고
    • Non-local and local artificial boundary conditions for two-dimensional flow in an infinite channel
    • Patlashenko I., Givoli D. Non-local and local artificial boundary conditions for two-dimensional flow in an infinite channel. Int. J. Numer. Methods Heat Fluid Flow. 6:1996;47.
    • (1996) Int. J. Numer. Methods Heat Fluid Flow , vol.6 , pp. 47
    • Patlashenko, I.1    Givoli, D.2
  • 48
    • 0031477069 scopus 로고    scopus 로고
    • Non-reflecting finite element schemes for three-dimensional acoustic waves
    • Patlashenko I., Givoli D. Non-reflecting finite element schemes for three-dimensional acoustic waves. J. Comput. Acoust. 5:1997;95.
    • (1997) J. Comput. Acoust. , vol.5 , pp. 95
    • Patlashenko, I.1    Givoli, D.2
  • 50
    • 0001406966 scopus 로고
    • Artificial boundary conditions for the numerical solution of external viscous flow problems
    • Ryaben'kiî V. S., Tsynkov S. V. Artificial boundary conditions for the numerical solution of external viscous flow problems. SIAM J. Numer. Anal. 32:1995;1355.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1355
    • Ryaben'Kiî, V.S.1    Tsynkov, S.V.2
  • 52
    • 0001700219 scopus 로고
    • Exact boundary conditions for scattering problems
    • Ting L., Miksis M. J. Exact boundary conditions for scattering problems. J. Acoust. Soc. Am. 80:1986;1825.
    • (1986) J. Acoust. Soc. Am. , vol.80 , pp. 1825
    • Ting, L.1    Miksis, M.J.2
  • 53
    • 0006583505 scopus 로고
    • An application of nonlocal external conditions to viscous flow computations
    • Tsynkov S. V. An application of nonlocal external conditions to viscous flow computations. J. Comput. Phys. 116:1995;212.
    • (1995) J. Comput. Phys. , vol.116 , pp. 212
    • Tsynkov, S.V.1
  • 54
    • 0041397301 scopus 로고    scopus 로고
    • External flow computations using global boundary conditions
    • Tsynkov S. V., Turkel E., Abarbanel S. External flow computations using global boundary conditions. AIAA J. 34:1996;700.
    • (1996) AIAA J. , vol.34 , pp. 700
    • Tsynkov, S.V.1    Turkel, E.2    Abarbanel, S.3
  • 55
    • 0026819881 scopus 로고
    • Computation of waves generated by submarine landslides
    • Verriere M., Lenoir M. Computation of waves generated by submarine landslides. Int. J. Numer. Methods Fluids. 14:1992;403.
    • (1992) Int. J. Numer. Methods Fluids , vol.14 , pp. 403
    • Verriere, M.1    Lenoir, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.