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Volumn 27, Issue 4, 1998, Pages 367-384

Optimal local non-reflecting boundary conditions

Author keywords

Dirichlet to Neumann (DtN); Exterior problems; Finite elements; Non reflecting boundary condition; Unbounded domain

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; OPTIMIZATION; PROBLEM SOLVING;

EID: 0032141096     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00020-8     Document Type: Article
Times cited : (29)

References (40)
  • 1
    • 0030126105 scopus 로고    scopus 로고
    • FE mode-matching schemes for the exterior Helmholtz problem and their relationship to the FE-DtN approach
    • R.J. Astley, FE mode-matching schemes for the exterior Helmholtz problem and their relationship to the FE-DtN approach, Comm. Numer. Methods Engrg. 12 (1996) 257-267.
    • (1996) Comm. Numer. Methods Engrg. , vol.12 , pp. 257-267
    • Astley, R.J.1
  • 2
    • 0041956692 scopus 로고    scopus 로고
    • Canonical representations of complex vibratory subsystems: Time domain Dirichlet to Neumann maps
    • to appear
    • P.E. Barbone, A. Cherukuri and D. Goldman, Canonical representations of complex vibratory subsystems: Time domain Dirichlet to Neumann maps, J. Acoust. Soc. Amer., to appear.
    • J. Acoust. Soc. Amer.
    • Barbone, P.E.1    Cherukuri, A.2    Goldman, D.3
  • 3
    • 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. 33 (1980) 707-725.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 4
    • 0029271838 scopus 로고
    • Numerically derived boundary conditions on artificial boundaries
    • A.S. Deakin and J.R. Dryden, Numerically derived boundary conditions on artificial boundaries, J. Comput. Appl. Math. 58 (1995) 1-16.
    • (1995) J. Comput. Appl. Math. , vol.58 , pp. 1-16
    • Deakin, A.S.1    Dryden, J.R.2
  • 5
    • 0004346856 scopus 로고    scopus 로고
    • Analysis of coupled finite-infinite element method for exterior Helmholtz problems
    • University of Texas, Austin November
    • L. Demkowicz and F. Ihlenburg, Analysis of coupled finite-infinite element method for exterior Helmholtz problems, TICAM Report 96-52, University of Texas, Austin (November 1996).
    • (1996) TICAM Report 96-52
    • Demkowicz, L.1    Ihlenburg, F.2
  • 6
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic calculations
    • B. Engquist and 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
  • 8
    • 0020249251 scopus 로고
    • A down-stream boundary procedure for the Euler equations
    • L. Ferm and B. Gustafsson, A down-stream boundary procedure for the Euler equations, Comput. Fluids 10 (1982) 261-276.
    • (1982) Comput. Fluids , vol.10 , pp. 261-276
    • Ferm, L.1    Gustafsson, B.2
  • 9
    • 0006071251 scopus 로고
    • The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems
    • G.N. Gatica and G.C. Hsiao, The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems, Numer. Funct. Anal. Optim. 13 (1992) 431-447.
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 431-447
    • Gatica, G.N.1    Hsiao, G.C.2
  • 10
    • 2142739347 scopus 로고
    • Non-reflecting boundary conditions
    • D. Givoli, Non-reflecting boundary conditions, J. Comput. Phys. 94 (1991) 1-29.
    • (1991) J. Comput. Phys. , vol.94 , pp. 1-29
    • Givoli, D.1
  • 11
    • 0026815499 scopus 로고
    • A spatially exact non-reflecting boundary condition for time dependent problems
    • D. Givoli, A spatially exact non-reflecting boundary condition for time dependent problems, Comput. Methods Appl. Mech. Engrg. 95 (1992) 97-113.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.95 , pp. 97-113
    • Givoli, D.1
  • 13
    • 0000778752 scopus 로고
    • Non-reflecting boundary conditions based on Kirchhoff-type formulae
    • D. Givoli and D. Cohen, Non-reflecting boundary conditions based on Kirchhoff-type formulae, J. Comput. Phys. 117 (1995) 102-113.
    • (1995) J. Comput. Phys. , vol.117 , pp. 102-113
    • Givoli, D.1    Cohen, D.2
  • 15
    • 0025421673 scopus 로고
    • Non-reflecting boundary conditions for elastic waves
    • D. Givoli and 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
  • 16
    • 0028753350 scopus 로고
    • Special finite elements for use with high-order boundary conditions
    • D. Givoli and J.B. Keller, Special finite elements for use with high-order boundary conditions, Comput. Methods Appl. Mech. Engrg. 119 (1994) 199-213.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.119 , pp. 199-213
    • Givoli, D.1    Keller, J.B.2
  • 18
    • 85066352444 scopus 로고    scopus 로고
    • Finite element solution of nonlinear time-depepdent exterior wave problems
    • to appear
    • D. Givoli and I. Patlashenko, Finite element solution of nonlinear time-depepdent exterior wave problems, J. Comput. Phys., to appear.
    • J. Comput. Phys.
    • Givoli, D.1    Patlashenko, I.2
  • 20
    • 0027789037 scopus 로고
    • Artificial boundary conditions for 2D problems in geophysics
    • D. Givoli and S. Vigdergauz, Artificial boundary conditions for 2D problems in geophysics, Comput. Methods Appl. Mech. Engrg. 110 (1993) 87-101.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.110 , pp. 87-101
    • Givoli, D.1    Vigdergauz, S.2
  • 21
    • 84966235520 scopus 로고
    • A finite element method for solving Helmholtz type equations in wave guides and other unbounded domains
    • C.I. Goldstein, A finite element method for solving Helmholtz type equations in wave guides and other unbounded domains, Math. Comp. 39 (1982) 309-324.
    • (1982) Math. Comp. , vol.39 , pp. 309-324
    • Goldstein, C.I.1
  • 22
    • 0000907608 scopus 로고
    • On nonreflecting boundary conditions
    • M.J. Grote and J.B. Keller, On nonreflecting boundary conditions, J. Comput. Phys. 122 (1995) 231-243.
    • (1995) J. Comput. Phys. , vol.122 , pp. 231-243
    • Grote, M.J.1    Keller, J.B.2
  • 23
    • 0030209904 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. 127 (1996) 52-65.
    • (1996) J. Comput. Phys. , vol.127 , pp. 52-65
    • Grote, M.J.1    Keller, J.B.2
  • 24
    • 0043148972 scopus 로고
    • Energy identities for the wave equation with high order boundary conditions
    • G. Cohen et al., eds., SIAM, Philadelphia, PA
    • T. Ha-Duong and P. Joly, Energy identities for the wave equation with high order boundary conditions, in: G. Cohen et al., eds., Mathematical and Numerical Aspects of Wave Propagation Phenomena (SIAM, Philadelphia, PA, 1991) 267-274.
    • (1991) Mathematical and Numerical Aspects of Wave Propagation Phenomena , pp. 267-274
    • Ha-Duong, T.1    Joly, P.2
  • 25
    • 0001470437 scopus 로고
    • Conditions at the downstream boundary for simulations of viscous, incompressible flow
    • T. Hagstrom, Conditions at the downstream boundary for simulations of viscous, incompressible flow, SIAM J. Sci. Statist. Comput. 12 (1991) 843-858.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 843-858
    • Hagstrom, T.1
  • 26
    • 0001209974 scopus 로고
    • Exact boundary conditions at an artificial boundary for partial differential equations in cylinders
    • T. Hagstrom and H.B. Keller, Exact boundary conditions at an artificial boundary for partial differential equations in cylinders, SIAM J. Math. Anal 17 (1986) 322-341.
    • (1986) SIAM J. Math. Anal , vol.17 , pp. 322-341
    • Hagstrom, T.1    Keller, H.B.2
  • 27
    • 0026862372 scopus 로고
    • Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains
    • I. Harari and T.J.R. Hughes, Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains, Comput. Methods Appl. Mech. Engrg. 97 (1992) 103-124.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.97 , pp. 103-124
    • Harari, I.1    Hughes, T.J.R.2
  • 28
    • 0000288806 scopus 로고
    • Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
    • I. Harari and T.J.R. Hughes, Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains, Comput. Methods Appl. Mech. Engrg. 98 (1992) 411-454.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.98 , pp. 411-454
    • Harari, I.1    Hughes, T.J.R.2
  • 29
    • 0000271460 scopus 로고
    • Exact non-reflecting boundary conditions
    • J.B. Keller and 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
  • 30
    • 0040669290 scopus 로고
    • A finite element method for exterior interface problems
    • R.C. MacCamy and S.P. Marin, A finite element method for exterior interface problems, Internat. J. Math. Math. Sci. 3 (1980) 311-350.
    • (1980) Internat. J. Math. Math. Sci. , vol.3 , pp. 311-350
    • MacCamy, R.C.1    Marin, S.P.2
  • 31
    • 0030283626 scopus 로고    scopus 로고
    • A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition
    • M. Malhotra and P.M. Pinsky, A matrix-free interpretation of the non-local Dirichlet-to-Neumann radiation boundary condition, Internat. J. Numer. Methods Engrg. 39 (1996) 3705-3713.
    • (1996) Internat. J. Numer. Methods Engrg. , vol.39 , pp. 3705-3713
    • Malhotra, M.1    Pinsky, P.M.2
  • 32
    • 0002424308 scopus 로고
    • Numerical solution of exterior problems
    • M. Masmoudi, Numerical solution of exterior problems, Numer. Math. 51 (1987) 87-101.
    • (1987) Numer. Math. , vol.51 , pp. 87-101
    • Masmoudi, M.1
  • 33
    • 0030136479 scopus 로고    scopus 로고
    • Nonlocal and local artificial boundary conditions for two-dimensional flow in an infinite channel
    • I. Patlashenko and D. Givoli, Nonlocal and local artificial boundary conditions for two-dimensional flow in an infinite channel, Internat. J. Numer. Methods Heat Fluid Flow 6 (1996) 47-62.
    • (1996) Internat. J. Numer. Methods Heat Fluid Flow , vol.6 , pp. 47-62
    • Patlashenko, I.1    Givoli, D.2
  • 34
    • 0031477069 scopus 로고    scopus 로고
    • Non-reflecting finite element schemes for three-dimensional acoustic waves
    • I. Patlashenko and D. Givoli, Non-reflecting finite element schemes for three-dimensional acoustic waves, J. Comput. Acoust. 5 (1997) 95-115.
    • (1997) J. Comput. Acoust. , vol.5 , pp. 95-115
    • Patlashenko, I.1    Givoli, D.2
  • 35
    • 0000899343 scopus 로고    scopus 로고
    • A numerical method for problems in infinite strips with irregularities extending to infinity
    • I. Patlashenko and D. Givoli, A numerical method for problems in infinite strips with irregularities extending to infinity, Numer. Methods Partial Differential Equations 14 (1998) 233-249.
    • (1998) Numer. Methods Partial Differential Equations , vol.14 , pp. 233-249
    • Patlashenko, I.1    Givoli, D.2
  • 36
    • 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 and 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
  • 37
    • 0001700219 scopus 로고
    • Exact boundary conditions for scattering problems
    • L. Ting and M.J. Miksis, Exact boundary conditions for scattering problems, J. Acoust. Soc. Amer. 80 (1986) 1825-1827.
    • (1986) J. Acoust. Soc. Amer. , vol.80 , pp. 1825-1827
    • Ting, L.1    Miksis, M.J.2
  • 38
    • 84966217680 scopus 로고
    • Well-posedness of one-way equations and absorbing boundary conditions
    • L.N. Trefethen and L. Halpern, Well-posedness of one-way equations and absorbing boundary conditions, Math. Comp. 47 (1986) 421-435.
    • (1986) Math. Comp. , vol.47 , pp. 421-435
    • Trefethen, L.N.1    Halpern, L.2
  • 39
    • 0041397301 scopus 로고    scopus 로고
    • External flow computations using global boundary conditions
    • S.V. Tsynkov, E. Turkel and S. Abarbanel, External flow computations using global boundary conditions, AIAA J. 34 (1996) 700-706.
    • (1996) AIAA J. , vol.34 , pp. 700-706
    • Tsynkov, S.V.1    Turkel, E.2    Abarbanel, S.3
  • 40
    • 0026819881 scopus 로고
    • Computation of waves generated by submarine landslides
    • M. Verriere and M. Lenoir, Computation of waves generated by submarine landslides, Internat. J. Numer. Methods Fluids 14 (1992) 403-421.
    • (1992) Internat. J. Numer. Methods Fluids , vol.14 , pp. 403-421
    • Verriere, M.1    Lenoir, M.2


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