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Volumn 194, Issue 1, 2004, Pages 278-303

Exact non-reflecting boundary conditions on general domains

Author keywords

Acoustic scattering; Dirichlet Neumann operators; Dirichlet to Neumann maps; Electromagnetic scattering; Geometric perturbation methods; Non reflecting boundary conditions; Transparent boundary conditions

Indexed keywords

ACOUSTIC WAVE SCATTERING; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 0842269037     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.09.006     Document Type: Article
Times cited : (44)

References (54)
  • 1
    • 0012135401 scopus 로고    scopus 로고
    • Long-time behaviour of the perfectly matched layer equations in computational electromagnetics
    • S. Arbabanel, D. Gottlieb, J.S. Hesthaven, Long-time behaviour of the perfectly matched layer equations in computational electromagnetics, J. Sci. Comput. 17 (2002) 405-422.
    • (2002) J. Sci. Comput. , vol.17 , pp. 405-422
    • Arbabanel, S.1    Gottlieb, D.2    Hesthaven, J.S.3
  • 3
    • 0036339907 scopus 로고    scopus 로고
    • On the analysis of Bérenger's perfectly matched layers for Maxwell's equations
    • E. Bécache, P. Joly, On the analysis of Bérenger's perfectly matched layers for Maxwell's equations, Math. Model. Numer. Anal. 36 (2002) 87-119.
    • (2002) Math. Model. Numer. Anal. , vol.36 , pp. 87-119
    • Bécache, E.1    Joly, P.2
  • 4
    • 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
  • 5
    • 84971145280 scopus 로고
    • Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
    • O.P. Bruno, F. Reitich, Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain, Proc. Roy. Soc. Edinburgh Sect. A 122 (3-4) (1992) 317-340.
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.122 , Issue.3-4 , pp. 317-340
    • Bruno, O.P.1    Reitich, F.2
  • 6
    • 0027610033 scopus 로고
    • Numerical solution of diffraction problems: A method of variation of boundaries
    • O.P. Bruno, F. Reitich, Numerical solution of diffraction problems: a method of variation of boundaries, J. Opt. Soc. Am. A 10 (6) (1993) 1168-1175.
    • (1993) J. Opt. Soc. Am. A , vol.10 , Issue.6 , pp. 1168-1175
    • Bruno, O.P.1    Reitich, F.2
  • 7
    • 0027687215 scopus 로고
    • Numerical solution of diffraction problems: A method of variation of boundaries. ii. Finitely conducting gratings, Padé approximants, and singularities
    • O.P. Bruno, F. Reitich, Numerical solution of diffraction problems: a method of variation of boundaries. ii. Finitely conducting gratings, Padé approximants, and singularities, J. Opt. Soc. Am. A 10 (11) (1993) 2307-2316.
    • (1993) J. Opt. Soc. Am. A , vol.10 , Issue.11 , pp. 2307-2316
    • Bruno, O.P.1    Reitich, F.2
  • 8
    • 0027760653 scopus 로고
    • Numerical solution of diffraction problems: A method of variation of boundaries. iii. Doubly periodic gratings
    • O.P. Bruno, F. Reitich, Numerical solution of diffraction problems: a method of variation of boundaries. iii. Doubly periodic gratings, J. Opt. Soc. Am. A 10 (12) (1993) 2551-2562.
    • (1993) J. Opt. Soc. Am. A , vol.10 , Issue.12 , pp. 2551-2562
    • Bruno, O.P.1    Reitich, F.2
  • 9
    • 84968515663 scopus 로고
    • Approximation of analytic functions: A method of enhanced convergence
    • O.P. Bruno, F. Reitich, Approximation of analytic functions: a method of enhanced convergence, Math. Comp. 63 (207) (1994) 195-213.
    • (1994) Math. Comp. , vol.63 , Issue.207 , pp. 195-213
    • Bruno, O.P.1    Reitich, F.2
  • 10
    • 0029735356 scopus 로고    scopus 로고
    • Calculation of electromagnetic scattering via boundary variations and analytic continuation
    • O.P. Bruno, F. Reitich, Calculation of electromagnetic scattering via boundary variations and analytic continuation, Appl. Comput. Electromag. Soc. J. 11 (1) (1996) 17-31.
    • (1996) Appl. Comput. Electromag. Soc. J. , vol.11 , Issue.1 , pp. 17-31
    • Bruno, O.P.1    Reitich, F.2
  • 11
    • 0031790863 scopus 로고    scopus 로고
    • Boundary-variation solutions for bounded-obstacle scattering problems in three dimensions
    • O.P. Bruno, F. Reitich, Boundary-variation solutions for bounded-obstacle scattering problems in three dimensions, J. Acoust. Soc. Am. 104 (5) (1998) 2579-2583.
    • (1998) J. Acoust. Soc. Am. , vol.104 , Issue.5 , pp. 2579-2583
    • Bruno, O.P.1    Reitich, F.2
  • 12
    • 0042851683 scopus 로고    scopus 로고
    • High-order boundary perturbation methods
    • Frontiers in Applied Mathematics Series, SIAM
    • O.P. Bruno, F. Reitich, High-order boundary perturbation methods, in: Mathematical Modeling in Optical Science, Frontiers in Applied Mathematics Series, SIAM, 1999.
    • (1999) Mathematical Modeling in Optical Science
    • Bruno, O.P.1    Reitich, F.2
  • 13
    • 0017332471 scopus 로고
    • Cauchy integrals on Lipschitz curves and related operators
    • A.P. Calderón, Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Acad. Sci. USA 75 (1977) 1324-1327.
    • (1977) Proc. Nat. Acad. Sci. USA , vol.75 , pp. 1324-1327
    • Calderón, A.P.1
  • 15
    • 0002592298 scopus 로고
    • Nonlinear harmonic analysis and analytic dependence
    • American Mathematical Society, Providence, RI
    • R. Coifman, Y. Meyer, Nonlinear harmonic analysis and analytic dependence, in: Pseudodifferential Operators and Applications, American Mathematical Society, Providence, RI, 1985, pp. 71-78.
    • (1985) Pseudodifferential Operators and Applications , pp. 71-78
    • Coifman, R.1    Meyer, Y.2
  • 16
    • 0034550889 scopus 로고    scopus 로고
    • Traveling two and three dimensional capillary gravity water waves
    • W. Craig, D.P. Nicholls, Traveling two and three dimensional capillary gravity water waves, SIAM J. Math. Anal. 32 (2) (2000) 323-359.
    • (2000) SIAM J. Math. Anal. , vol.32 , Issue.2 , pp. 323-359
    • Craig, W.1    Nicholls, D.P.2
  • 17
    • 0002686768 scopus 로고
    • Numerical simulation of gravity waves
    • W. Craig, C. Sulem, Numerical simulation of gravity waves, J. Computat. Phys. 108 (1993) 73-83.
    • (1993) J. Computat. Phys. , vol.108 , pp. 73-83
    • Craig, W.1    Sulem, C.2
  • 18
    • 0001654990 scopus 로고    scopus 로고
    • The modulation regime of three-dimensional water waves and the Davey-Stewartson system
    • W. Craig, U. Schanz, C. Sulem, The modulation regime of three-dimensional water waves and the Davey-Stewartson system, Ann. Inst. Henri Poincaré 14 (1997) 615-667.
    • (1997) Ann. Inst. Henri Poincaré , vol.14 , pp. 615-667
    • Craig, W.1    Schanz, U.2    Sulem, C.3
  • 19
    • 0034147879 scopus 로고    scopus 로고
    • Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries
    • R. Djellouli, C. Farhat, A. Macedo, R. Tezaur, Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries, J. Comp. Acoustics 8 (2000) 81-99.
    • (2000) J. Comp. Acoustics , vol.8 , pp. 81-99
    • Djellouli, R.1    Farhat, C.2    Macedo, A.3    Tezaur, R.4
  • 20
    • 0023148497 scopus 로고
    • A high-order spectral method for the study of nonlinear gravity waves
    • D.G. Dommermuth, D.K.P. Yue, A high-order spectral method for the study of nonlinear gravity waves, J. Fluid Mech. 184 (1987) 267-288.
    • (1987) J. Fluid Mech. , vol.184 , pp. 267-288
    • Dommermuth, D.G.1    Yue, D.K.P.2
  • 22
    • 2142739347 scopus 로고
    • Nonreflecting boundary conditions
    • D. Givoli, Nonreflecting boundary conditions, J. Comput. Phys. 94 (1) (1991) 1-29.
    • (1991) J. Comput. Phys. , vol.94 , Issue.1 , pp. 1-29
    • Givoli, D.1
  • 23
    • 0003741919 scopus 로고
    • Numerical methods for problems in infinite domains
    • Elsevier Scientific Publishing, Amsterdam
    • D. Givoli, Numerical methods for problems in infinite domains, Studies in Applied Mechanics, vol. 33, Elsevier Scientific Publishing, Amsterdam, 1992.
    • (1992) Studies in Applied Mechanics , vol.33
    • Givoli, D.1
  • 24
    • 0033417375 scopus 로고    scopus 로고
    • Recent advances in the DtN-FE method
    • D. Givoli, Recent advances in the DtN-FE method, Arch. Comput. Methods Eng. 6 (2) (1999) 71-116.
    • (1999) Arch. Comput. Methods Eng. , vol.6 , Issue.2 , pp. 71-116
    • Givoli, D.1
  • 25
    • 0005053772 scopus 로고    scopus 로고
    • Scattering matrix of a nearly circular cylinder
    • D. Givoli, Scattering matrix of a nearly circular cylinder, Wave Motion 30 (3) (1999) 239-251.
    • (1999) Wave Motion , vol.30 , Issue.3 , pp. 239-251
    • Givoli, D.1
  • 26
    • 0028753350 scopus 로고
    • Special finite elements for use with high-order boundary conditions
    • D. Givoli, J.B. Keller, Special finite elements for use with high-order boundary conditions, Comput. Methods Appl. Mech. Eng. 119 (3-4) (1994) 199-213.
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.119 , Issue.3-4 , pp. 199-213
    • Givoli, D.1    Keller, J.B.2
  • 27
    • 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 (2) (1995) 280-297.
    • (1995) SIAM J. Appl. Math. , vol.55 , Issue.2 , pp. 280-297
    • Grote, M.J.1    Keller, J.B.2
  • 28
    • 0000907608 scopus 로고
    • On nonreflecting boundary conditions
    • M.J. Grote, J.B. Keller, On nonreflecting boundary conditions, J. Comput. Phys. 122 (2) (1995) 231-243.
    • (1995) J. Comput. Phys. , vol.122 , Issue.2 , pp. 231-243
    • Grote, M.J.1    Keller, J.B.2
  • 29
    • 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 (1) (1996) 52-65.
    • (1996) J. Comput. Phys. , vol.127 , Issue.1 , pp. 52-65
    • Grote, M.J.1    Keller, J.B.2
  • 30
    • 0000886748 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for Maxwell's equations
    • M.J. Grote, J.B. Keller, Nonreflecting boundary conditions for Maxwell's equations, J. Comput. Phys. 139 (2) (1998) 327-342.
    • (1998) J. Comput. Phys. , vol.139 , Issue.2 , pp. 327-342
    • Grote, M.J.1    Keller, J.B.2
  • 32
    • 0000637294 scopus 로고
    • Approximation of infinite boundary condition and its application to finite element methods
    • H.D. Han, X.N. Wu, Approximation of infinite boundary condition and its application to finite element methods, J. Comp. Math. 3 (1985) 2.
    • (1985) J. Comp. Math. , vol.3 , pp. 2
    • Han, H.D.1    Wu, X.N.2
  • 33
    • 0000569441 scopus 로고
    • Pseudo-differential operators and non-elliptic boundary problems
    • L. Hörmander, Pseudo-differential operators and non-elliptic boundary problems, Ann. Math. (2) (1966) 83.
    • (1966) Ann. Math. , Issue.2 , pp. 83
    • Hörmander, L.1
  • 34
    • 33747535085 scopus 로고
    • A finite element method for some integral equations of the first kind
    • G.C. Hsiao, W. Wendland, A finite element method for some integral equations of the first kind, J. Math. Anal. Appl. 58 (1977) 449-481.
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 449-481
    • Hsiao, G.C.1    Wendland, W.2
  • 35
    • 84966247121 scopus 로고
    • On the coupling of boundary integral and finite element methods
    • C. Johnson, J.-C. Nédélec, On the coupling of boundary integral and finite element methods, Math. Comp. 35 (1980) 1063-1079.
    • (1980) Math. Comp. , vol.35 , pp. 1063-1079
    • Johnson, C.1    Nédélec, J.-C.2
  • 37
    • 0000271460 scopus 로고
    • Exact nonreflecting boundary conditions
    • J.B. Keller, D. Givoli, Exact nonreflecting boundary conditions, J. Comput. Phys. 82 (1) (1989) 172-192.
    • (1989) J. Comput. Phys. , vol.82 , Issue.1 , pp. 172-192
    • Keller, J.B.1    Givoli, D.2
  • 39
    • 0026373256 scopus 로고
    • An improved formalism for rough-surface scattering of acoustic and electromagnetic waves
    • San Diego, 1991, Int. Soc. Opt. Eng., Bellingham, WA
    • D.M. Milder, An improved formalism for rough-surface scattering of acoustic and electromagnetic waves, in: Proceedings of SPIE - The Inter. Soc. for Opt. Eng., San Diego, 1991, vol. 1558, Int. Soc. Opt. Eng., Bellingham, WA, 1991, pp. 213-221.
    • (1991) Proceedings of SPIE - The Inter. Soc. for Opt. Eng. , vol.1558 , pp. 213-221
    • Milder, D.M.1
  • 40
    • 0025963587 scopus 로고
    • An improved formalism for wave scattering from rough surfaces
    • D.M. Milder, An improved formalism for wave scattering from rough surfaces, J. Acoust. Soc. Am. 89 (2) (1991) 529-541.
    • (1991) J. Acoust. Soc. Am. , vol.89 , Issue.2 , pp. 529-541
    • Milder, D.M.1
  • 41
    • 0030290110 scopus 로고    scopus 로고
    • An improved formalism for electromagnetic scattering from a perfectly conducting rough surface
    • D.M. Milder, An improved formalism for electromagnetic scattering from a perfectly conducting rough surface, Radio Sci. 31 (6) (1996) 1369-1376.
    • (1996) Radio Sci. , vol.31 , Issue.6 , pp. 1369-1376
    • Milder, D.M.1
  • 42
    • 0029834191 scopus 로고    scopus 로고
    • Role of the admittance operator in rough-surface scattering
    • D.M. Milder, Role of the admittance operator in rough-surface scattering, J. Acoust. Soc. Am. 100 (2) (1996) 759-768.
    • (1996) J. Acoust. Soc. Am. , vol.100 , Issue.2 , pp. 759-768
    • Milder, D.M.1
  • 43
    • 0026721411 scopus 로고
    • An improved formalism for rough surface scattering. ii. Numerical trials in three dimensions
    • D.M. Milder, H.T. Sharp, An improved formalism for rough surface scattering. ii. Numerical trials in three dimensions, J. Acoust. Soc. Am. 91 (5) (1992) 2620-2626.
    • (1992) J. Acoust. Soc. Am. , vol.91 , Issue.5 , pp. 2620-2626
    • Milder, D.M.1    Sharp, H.T.2
  • 46
    • 23044528812 scopus 로고    scopus 로고
    • A new approach to analyticity of Dirichlet-Neumann operators
    • D.P. Nicholls, F. Reitich, A new approach to analyticity of Dirichlet-Neumann operators, Proc. Roy. Soc. Edinburgh Sect. A 131 (6) (2001) 1411-1433.
    • (2001) Proc. Roy. Soc. Edinburgh Sect. A , vol.131 , Issue.6 , pp. 1411-1433
    • Nicholls, D.P.1    Reitich, F.2
  • 47
    • 0000543204 scopus 로고    scopus 로고
    • Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
    • D.P. Nicholls, F. Reitich, Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators, J. Comp. Phys. 170 (1) (2001) 276-298.
    • (2001) J. Comp. Phys. , vol.170 , Issue.1 , pp. 276-298
    • Nicholls, D.P.1    Reitich, F.2
  • 48
    • 0142023256 scopus 로고    scopus 로고
    • Analytic continuation of Dirichlet-Neumann operators
    • D.P. Nicholls, F. Reitich, Analytic continuation of Dirichlet-Neumann operators, Numer. Math. 94 (1) (2003) 107-146.
    • (2003) Numer. Math. , vol.94 , Issue.1 , pp. 107-146
    • Nicholls, D.P.1    Reitich, F.2
  • 50
    • 0000872573 scopus 로고    scopus 로고
    • Difference potentials method and its applications
    • V.S. Ryaben'kii, Difference potentials method and its applications, Math. Nachr. 177 (1996) 251-264.
    • (1996) Math. Nachr. , vol.177 , pp. 251-264
    • Ryaben'kii, V.S.1
  • 51
    • 0002024684 scopus 로고
    • Topics in pseudo-differential operators
    • (C.I.M.E., Stresa, 1968)
    • R. Seeley, Topics in pseudo-differential operators, Pseudo-Diff. Operators (C.I.M.E., Stresa, 1968), 1969, pp. 167-305.
    • (1969) Pseudo-Diff. Operators , pp. 167-305
    • Seeley, R.1
  • 52
    • 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 (4) (1998) 465-532.
    • (1998) Appl. Numer. Math. , vol.27 , Issue.4 , pp. 465-532
    • Tsynkov, S.V.1
  • 53
    • 0001698322 scopus 로고
    • Perturbation approach to the diffraction of electromagnetic waves by arbitrarily shaped dielectric obstacles
    • C. Yeh, Perturbation approach to the diffraction of electromagnetic waves by arbitrarily shaped dielectric obstacles, Phys. Rev. 135 (5A) (1964) 1193-1201.
    • (1964) Phys. Rev. , vol.135 , Issue.5 A , pp. 1193-1201
    • Yeh, C.1
  • 54
    • 34250447917 scopus 로고
    • Stability of periodic waves of finite amplitude on the surface of a deep fluid
    • V. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J. Appl. Mech. Tech. Phys. 9 (1968) 190-194.
    • (1968) J. Appl. Mech. Tech. Phys. , vol.9 , pp. 190-194
    • Zakharov, V.1


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