메뉴 건너뛰기




Volumn 362, Issue 1816, 2004, Pages 421-443

Short-wave scattering: Problems and techniques

Author keywords

Boundary elements; Economic modelling; Finite elements; Plane wave basis; Short wave scattering

Indexed keywords


EID: 1642344540     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2003.1329     Document Type: Review
Times cited : (36)

References (94)
  • 1
    • 0010633701 scopus 로고
    • Méthodes des équations intégrales pour les hautes fréquences
    • Abboud, T., Nédélec, J.-C. & Zhou, B. 1994 Méthodes des équations intégrales pour les hautes fréquences. C. R. Acad. Sci. Paris I 318, 165-170.
    • (1994) C. R. Acad. Sci. Paris I , vol.318 , pp. 165-170
    • Abboud, T.1    Nédélec, J.-C.2    Zhou, B.3
  • 3
    • 10444290190 scopus 로고    scopus 로고
    • Discrete dispersion relation for hp-version finite element approximation at high wave number
    • In the press
    • Ainsworth, M. 2004 Discrete dispersion relation for hp-version finite element approximation at high wave number. SIAM J. Numer. Analysis (In the press.)
    • (2004) SIAM J. Numer. Analysis
    • Ainsworth, M.1
  • 4
    • 0020814507 scopus 로고
    • Wave envelope and infinite elements for acoustical radiation
    • Astley, R. J. 1983 Wave envelope and infinite elements for acoustical radiation. Int. J. Numer. Meth. Fluids 3, 507-526.
    • (1983) Int. J. Numer. Meth. Fluids , vol.3 , pp. 507-526
    • Astley, R.J.1
  • 5
    • 0032476190 scopus 로고    scopus 로고
    • Transient spheroidal elements for unbounded wave problems
    • Astley, R. J. 1998 Transient spheroidal elements for unbounded wave problems. Comput. Meth. Appl. Mech. Engng 164, 3-15.
    • (1998) Comput. Meth. Appl. Mech. Engng , vol.164 , pp. 3-15
    • Astley, R.J.1
  • 6
    • 0034327263 scopus 로고    scopus 로고
    • Infinite elements for wave problems: A review of current formulations and an assessment of accuracy
    • Astley, R. J. 2000 Infinite elements for wave problems: a review of current formulations and an assessment of accuracy. Int. J. Numer. Meth. Engng 49, 951-976.
    • (2000) Int. J. Numer. Meth. Engng , vol.49 , pp. 951-976
    • Astley, R.J.1
  • 7
    • 45549117438 scopus 로고
    • Wave envelope elements for acoustical radiation in inhomogeneous media
    • Astley, R. J. & Eversman, W. 1988 Wave envelope elements for acoustical radiation in inhomogeneous media. Comput. Struct. 30, 801-810.
    • (1988) Comput. Struct. , vol.30 , pp. 801-810
    • Astley, R.J.1    Eversman, W.2
  • 8
    • 0028374288 scopus 로고
    • Mapped wave envelope elements for acoustical radiation and scattering
    • Astley, R. J., Macaulay, G. J. & Coyette, J.-P. 1994 Mapped wave envelope elements for acoustical radiation and scattering. J. Sound Vib. 170, 97-118.
    • (1994) J. Sound Vib. , vol.170 , pp. 97-118
    • Astley, R.J.1    Macaulay, G.J.2    Coyette, J.-P.3
  • 9
    • 0031982767 scopus 로고    scopus 로고
    • Three dimensional wave envelope elements of variable order for acoustical radiation and scattering. II. Formulation in the time domain
    • Astley, R. J., Coyette, J.-P. & Cremers, L. 1998 Three dimensional wave envelope elements of variable order for acoustical radiation and scattering. II. Formulation in the time domain. J. Acoust. Soc. Am. 103, 64-72.
    • (1998) J. Acoust. Soc. Am. , vol.103 , pp. 64-72
    • Astley, R.J.1    Coyette, J.-P.2    Cremers, L.3
  • 12
    • 0031234255 scopus 로고    scopus 로고
    • A posteriori error estimation for finite element solutions of Helmholtz' equation. I. The quality of local indicators and estimators
    • Babuška, I., Ihlenburg, F., Strouboulis, T. & Gangaraj, S. K. 1997a A posteriori error estimation for finite element solutions of Helmholtz' equation. I. The quality of local indicators and estimators. Int. J. Numer. Meth. Engng 40, 3443-3462.
    • (1997) Int. J. Numer. Meth. Engng , vol.40 , pp. 3443-3462
    • Babuška, I.1    Ihlenburg, F.2    Strouboulis, T.3    Gangaraj, S.K.4
  • 13
    • 0031270949 scopus 로고    scopus 로고
    • A posteriori error estimation for finite element solutions of Helmholtz' equation. II. Estimation of pollution error
    • Babuška, I., Ihlenburg, F., Strouboulis, T. & Gangaraj, S. K. 1997a A posteriori error estimation for finite element solutions of Helmholtz' equation. II. Estimation of pollution error. Int. J. Numer. Meth. Engng 40, 3883-3900.
    • (1997) Int. J. Numer. Meth. Engng , vol.40 , pp. 3883-3900
    • Babuška, I.1    Ihlenburg, F.2    Strouboulis, T.3    Gangaraj, S.K.4
  • 14
    • 0001089675 scopus 로고
    • Far field boundary conditions for compressible flows
    • Bayliss, A. & Turkel, E. 1982 Far field boundary conditions for compressible flows. J. Computat. Phys. 48, 182-199.
    • (1982) J. Computat. Phys. , vol.48 , pp. 182-199
    • Bayliss, A.1    Turkel, E.2
  • 15
    • 0000753548 scopus 로고
    • Far field boundary conditions for the numerical solution of elliptic equations in exterior regions
    • Bayliss, A., Gunzberger, M. & Turkel, E. 1982 Far field boundary conditions for the numerical solution of elliptic equations in exterior regions. SIAM J. Appl. Math. 42, 430-451.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 430-451
    • Bayliss, A.1    Gunzberger, M.2    Turkel, E.3
  • 16
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Berenger, J.-P. 1994 A perfectly matched layer for the absorption of electromagnetic waves. J. Computat. Phys. 114, 115-200.
    • (1994) J. Computat. Phys. , vol.114 , pp. 115-200
    • Berenger, J.-P.1
  • 19
    • 0017439896 scopus 로고
    • Diffraction and refraction of surface waves using infinite elements
    • Bettess, P. & Zienkiewicz, O. C. 1977 Diffraction and refraction of surface waves using infinite elements. Int. J. Numer. Meth. Engng 11, 1271-1290.
    • (1977) Int. J. Numer. Meth. Engng , vol.11 , pp. 1271-1290
    • Bettess, P.1    Zienkiewicz, O.C.2
  • 21
  • 22
    • 0003081462 scopus 로고    scopus 로고
    • A fast, high order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
    • Bruno, O. P. & Kunyansky, L. A. 2001a A fast, high order algorithm for the solution of surface scattering problems: basic implementation, tests, and applications. J. Computat. Phys. 169, 80-110.
    • (2001) J. Computat. Phys. , vol.169 , pp. 80-110
    • Bruno, O.P.1    Kunyansky, L.A.2
  • 23
    • 3042796907 scopus 로고    scopus 로고
    • Surface scattering in three dimensions: An accelerated high-order solver
    • Bruno, O. P. & Kunyansky, L. A. 2001b Surface scattering in three dimensions: an accelerated high-order solver. Proc. R. Soc. Lond. A 457, 2921-2934.
    • (2001) Proc. R. Soc. Lond. A , vol.457 , pp. 2921-2934
    • Bruno, O.P.1    Kunyansky, L.A.2
  • 24
    • 0028099393 scopus 로고
    • A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion
    • Burnett, D. S. 1994 A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion. J. Acoust. Soc. Am. 96, 2798-2816
    • (1994) J. Acoust. Soc. Am. , vol.96 , pp. 2798-2816
    • Burnett, D.S.1
  • 25
    • 0032074453 scopus 로고    scopus 로고
    • Prolate and oblate spheroidal acoustic infinite elements
    • Burnett, D. S. & Holford, R. L. 1998 Prolate and oblate spheroidal acoustic infinite elements. Comput. Meth. Appl. Mech. Engng 158, 117-141.
    • (1998) Comput. Meth. Appl. Mech. Engng , vol.158 , pp. 117-141
    • Burnett, D.S.1    Holford, R.L.2
  • 26
    • 0141445578 scopus 로고    scopus 로고
    • Application of an ultra weak variational formulation of elliptic PDEs to the two dimensional Helmholtz problem
    • Cessenat, O. & Després, B. 1998 Application of an ultra weak variational formulation of elliptic PDEs to the two dimensional Helmholtz problem. SIAM J. Numer. Analysis 35, 255-299.
    • (1998) SIAM J. Numer. Analysis , vol.35 , pp. 255-299
    • Cessenat, O.1    Després, B.2
  • 27
    • 0031236045 scopus 로고    scopus 로고
    • Modelling of progressive short waves using wave envelopes
    • Chadwick, E. & Bettess, P. 1997 Modelling of progressive short waves using wave envelopes. Int. J. Numer. Meth. Engng 40, 3229-3245.
    • (1997) Int. J. Numer. Meth. Engng , vol.40 , pp. 3229-3245
    • Chadwick, E.1    Bettess, P.2
  • 28
    • 0032670659 scopus 로고    scopus 로고
    • Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements
    • Chadwick, E., Bettess, P. & Laghrouche, O. 1999 Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements. Int. J. Numer. Meth. Engng 45, 335-354.
    • (1999) Int. J. Numer. Meth. Engng , vol.45 , pp. 335-354
    • Chadwick, E.1    Bettess, P.2    Laghrouche, O.3
  • 29
    • 0033737182 scopus 로고    scopus 로고
    • Similarity variables for sound radiation in a uniform flow
    • Chapman, C. J. 2000 Similarity variables for sound radiation in a uniform flow. J. Sound Vib. 233, 157-164.
    • (2000) J. Sound Vib. , vol.233 , pp. 157-164
    • Chapman, C.J.1
  • 30
    • 1642263480 scopus 로고    scopus 로고
    • Computational electromagnetics: The physics of smooth versus oscillatory fields
    • Chew, W. C. 2004 Computational electromagnetics: the physics of smooth versus oscillatory fields. Phil. Trans. R. Soc. Lond. A 362, 579-602.
    • (2004) Phil. Trans. R. Soc. Lond. A , vol.362 , pp. 579-602
    • Chew, W.C.1
  • 32
    • 0027609499 scopus 로고
    • The Fast Multipole Method for the wave equation: A pedestrian prescription
    • Coifman, R., Rokhlin, V. & Wandzura, S. 1993 The Fast Multipole Method for the wave equation: a pedestrian prescription. IEEE Antennas Propagat. Mag. 35, 7-12.
    • (1993) IEEE Antennas Propagat. Mag. , vol.35 , pp. 7-12
    • Coifman, R.1    Rokhlin, V.2    Wandzura, S.3
  • 33
    • 0036743646 scopus 로고    scopus 로고
    • Coupling of fast multipole method and microlocal discretization for the 3-D Helmholtz equation
    • Darrigrand, E. 2002 Coupling of fast multipole method and microlocal discretization for the 3-D Helmholtz equation. J. Computat. Phys. 181, 126-154.
    • (2002) J. Computat. Phys. , vol.181 , pp. 126-154
    • Darrigrand, E.1
  • 34
    • 0031280702 scopus 로고    scopus 로고
    • Fast Multipole: A mathematical study
    • Darve, E. 1997 Fast Multipole: a mathematical study. C. R. Acad. Sci. Paris Sér. I 125, 1037-1042.
    • (1997) C. R. Acad. Sci. Paris Sér. I , vol.125 , pp. 1037-1042
    • Darve, E.1
  • 35
    • 0000893843 scopus 로고    scopus 로고
    • The fast multipole method: Numerical implementation
    • Darve, E. 2000 The fast multipole method: numerical implementation. J. Computat. Phys. 160, 195-240.
    • (2000) J. Computat. Phys. , vol.160 , pp. 195-240
    • Darve, E.1
  • 36
    • 0001013275 scopus 로고
    • High frequency approximation of integral equations modelizing scattering phenomena
    • de La Bourdonnaye, A. 1994a High frequency approximation of integral equations modelizing scattering phenomena. Model. Math. Analysis Num. 28, 223-241.
    • (1994) Model. Math. Analysis Num. , vol.28 , pp. 223-241
    • De La Bourdonnaye, A.1
  • 37
    • 0001161839 scopus 로고
    • Une méthode de discrétisation microlocale et son application à un problème de diffraction
    • de La Bourdonnaye, A. 1994b Une méthode de discrétisation microlocale et son application à un problème de diffraction. C. R. Acad. Sci. Paris Sér. I 318, 385-388.
    • (1994) C. R. Acad. Sci. Paris Sér. I , vol.318 , pp. 385-388
    • De La Bourdonnaye, A.1
  • 38
    • 0013217164 scopus 로고
    • Convergence of the approximation for wave functions by oscillatory functions in the high frequency limit
    • de La Bourdonnaye, A. 1994c Convergence of the approximation for wave functions by oscillatory functions in the high frequency limit. C. R. Acad. Sci. Paris Sér. I 318, 765-768.
    • (1994) C. R. Acad. Sci. Paris Sér. I , vol.318 , pp. 765-768
    • De La Bourdonnaye, A.1
  • 39
    • 0000412875 scopus 로고
    • Sur une formulation variationelle de type ultra-faible
    • Després, B. 1994 Sur une formulation variationelle de type ultra-faible. C. R. Acad. Sci. Paris, Ser. I 318, 939-944.
    • (1994) C. R. Acad. Sci. Paris, Ser. I , vol.318 , pp. 939-944
    • Després, B.1
  • 40
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • Engquist, B. & Majda, A. 1977 Absorbing boundary conditions for the numerical simulation of waves. Math. Computat. 31, 629-652.
    • (1977) Math. Computat. , vol.31 , pp. 629-652
    • Engquist, B.1    Majda, A.2
  • 41
    • 0001529881 scopus 로고    scopus 로고
    • Fast evaluation of three-dimensional wave fields, using diagonal translation operators
    • Ergin, A. A., Balasubramaniam, S. & Michielssen, E. 1998 Fast evaluation of three-dimensional wave fields, using diagonal translation operators. J. Computed. Phys. 146, 157-180.
    • (1998) J. Computed. Phys. , vol.146 , pp. 157-180
    • Ergin, A.A.1    Balasubramaniam, S.2    Michielssen, E.3
  • 43
    • 0032744540 scopus 로고    scopus 로고
    • Two level marching on in time solvers for analyzing acoustic problems
    • Ergin, A. A., Michielssen, E., Shanker, B. & Aygun, K. 1999b Two level marching on in time solvers for analyzing acoustic problems. J. Acoust. Soc. Am. 106, 2405-2416.
    • (1999) J. Acoust. Soc. Am. , vol.106 , pp. 2405-2416
    • Ergin, A.A.1    Michielssen, E.2    Shanker, B.3    Aygun, K.4
  • 44
    • 0003401971 scopus 로고    scopus 로고
    • Report CU-CAS-00-20. Center for Aerospace Structures, University of Colorado, Boulder, CO, USA
    • Farhat, C., Harari, I. & Franca, L. 2000a The discontinuous enrichment method. Report CU-CAS-00-20. Center for Aerospace Structures, University of Colorado, Boulder, CO, USA.
    • (2000) The Discontinuous Enrichment Method
    • Farhat, C.1    Harari, I.2    Franca, L.3
  • 48
    • 0034345509 scopus 로고    scopus 로고
    • A review of infinite element methods for exterior Helmholtz problems
    • Gerdes, K. 2000 A review of infinite element methods for exterior Helmholtz problems. J. Comput. Acoust. 8, 43-62.
    • (2000) J. Comput. Acoust. , vol.8 , pp. 43-62
    • Gerdes, K.1
  • 50
    • 0033417375 scopus 로고    scopus 로고
    • Recent advances in the DtN FE method
    • Givoli, D. 1999 Recent advances in the DtN FE method. Arch. Computat. Meth. Engng 6, 71-116.
    • (1999) Arch. Computat. Meth. Engng , vol.6 , pp. 71-116
    • Givoli, D.1
  • 51
    • 0000797694 scopus 로고    scopus 로고
    • High order non reflecting boundary conditions without high order derivatives
    • Givoli, D. 2001 High order non reflecting boundary conditions without high order derivatives. J. Computat. Phys. 170, 849-870.
    • (2001) J. Computat. Phys. , vol.170 , pp. 849-870
    • Givoli, D.1
  • 52
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard, L. & Rokhlin, V. 1987 A fast algorithm for particle simulations. J. Computat. Phys. 73, 325-348.
    • (1987) J. Computat. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 53
    • 1642394140 scopus 로고    scopus 로고
    • Exact and high-order boundary conditions in the time domain
    • Dordrecht: Kluwer
    • Hagstrom, T. 1998 Exact and high-order boundary conditions in the time domain. In Proc. IUTAM Symp., Boulder, CO, USA, July 1997, pp. 179-186. Dordrecht: Kluwer.
    • (1998) Proc. IUTAM Symp., Boulder, CO, USA, July 1997 , pp. 179-186
    • Hagstrom, T.1
  • 54
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • Hagstrom, T. & Hariharan, S. I. 1998 A formulation of asymptotic and exact boundary conditions using local operators. Appl. Numer. Math. 27, 403-416.
    • (1998) Appl. Numer. Math. , vol.27 , pp. 403-416
    • Hagstrom, T.1    Hariharan, S.I.2
  • 55
    • 1642334034 scopus 로고    scopus 로고
    • A systematic approach for constructing asymptotic boundary conditions for wave-like equations
    • Dordrecht: Kluwer
    • Hariharan, S. I. & Hagstrom, T. 1998 A systematic approach for constructing asymptotic boundary conditions for wave-like equations. In Proc. IUTAM Symp., Boulder, CO, USA, July 1997, pp. 197-206. Dordrecht: Kluwer.
    • (1998) Proc. IUTAM Symp., Boulder, CO, USA, July 1997 , pp. 197-206
    • Hariharan, S.I.1    Hagstrom, T.2
  • 56
    • 0036740992 scopus 로고    scopus 로고
    • Nodal high-order methods on unstructured grids. I. Time domain solution of Maxwell's equations
    • Hesthaven, J. S. & Warburton, T. 2002 Nodal high-order methods on unstructured grids. I. Time domain solution of Maxwell's equations. J. Computat. Phys. 181, 186-221.
    • (2002) J. Computat. Phys. , vol.181 , pp. 186-221
    • Hesthaven, J.S.1    Warburton, T.2
  • 57
    • 1642320193 scopus 로고    scopus 로고
    • High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
    • Hesthaven, J. S. & Warburton, T. 2004 High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Phil. Trans. R. Soc. Lond. A 362, 493-524.
    • (2004) Phil. Trans. R. Soc. Lond. A , vol.362 , pp. 493-524
    • Hesthaven, J.S.1    Warburton, T.2
  • 58
    • 84966222177 scopus 로고
    • Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation
    • Higdon, R. 1986 Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation. Math. Computat. 47, 437-459.
    • (1986) Math. Computat. , vol.47 , pp. 437-459
    • Higdon, R.1
  • 59
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet to Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • Hughes, T. J. R. 1995 Multiscale phenomena: Green's functions, the Dirichlet to Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Comput. Meth. Appl. Mech. Engng 127, 387-401.
    • (1995) Comput. Meth. Appl. Mech. Engng , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 60
    • 0037058051 scopus 로고    scopus 로고
    • Computational aspects of the ultra weak variational formulation
    • Huttunen, T., Monk, P. & Kaipio, J. P. 2002 Computational aspects of the ultra weak variational formulation. J. Computat. Phys. 182, 27-46.
    • (2002) J. Computat. Phys. , vol.182 , pp. 27-46
    • Huttunen, T.1    Monk, P.2    Kaipio, J.P.3
  • 61
  • 62
    • 0034345514 scopus 로고    scopus 로고
    • On fundamental aspects of exterior approximations with infinite elements
    • Ihlenburg, F. 2000 On fundamental aspects of exterior approximations with infinite elements. J. Comput. Acoust. 8, 63-80.
    • (2000) J. Comput. Acoust. , vol.8 , pp. 63-80
    • Ihlenburg, F.1
  • 63
    • 0029395109 scopus 로고
    • Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
    • Ihlenburg, F. & Babuška, I. 1995 Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation. Int. J. Numer. Meth. Engng 38, 3745-3774.
    • (1995) Int. J. Numer. Meth. Engng , vol.38 , pp. 3745-3774
    • Ihlenburg, F.1    Babuška, I.2
  • 64
    • 0034345542 scopus 로고    scopus 로고
    • Short wave modelling using special finite elements
    • Laghrouche, O. & Bettess, P. 2000 Short wave modelling using special finite elements. J. Comput. Acoust. 8, 189-210.
    • (2000) J. Comput. Acoust. , vol.8 , pp. 189-210
    • Laghrouche, O.1    Bettess, P.2
  • 65
    • 0037055525 scopus 로고    scopus 로고
    • Modelling of short wave diffraction problems using approximating systems of plane waves
    • Laghrouche, O., Bettess, P. & Astley, R. J. 2002 Modelling of short wave diffraction problems using approximating systems of plane waves. Int. J. Numer. Meth. Engng 54, 1501-1533.
    • (2002) Int. J. Numer. Meth. Engng , vol.54 , pp. 1501-1533
    • Laghrouche, O.1    Bettess, P.2    Astley, R.J.3
  • 66
    • 0004168443 scopus 로고
    • Cambridge University Press
    • Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 68
    • 0003492134 scopus 로고    scopus 로고
    • The finite ray element method for the Helmholtz equation of scattering: First numerical experiments
    • Report no. CU-CAS-00-20. College of Engineering, University of Colorado, Boulder, CO, USA
    • Mayer, P. & Mandel, J. 1997 The finite ray element method for the Helmholtz equation of scattering: first numerical experiments. Report no. CU-CAS-00-20. College of Engineering, University of Colorado, Boulder, CO, USA. UCD/CCM Report 111. (Available at http://www-math.cudenver.edu/ccm/reports.html.)
    • (1997) UCD/CCM Report , vol.111
    • Mayer, P.1    Mandel, J.2
  • 70
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method. Basic theory and applications
    • Melenk, J. M. & Babuška, I. 1996 The partition of unity finite element method. Basic theory and applications. Comput. Meth. Appl. Mech. Engng 139, 289-314.
    • (1996) Comput. Meth. Appl. Mech. Engng , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuška, I.2
  • 72
    • 0032637241 scopus 로고    scopus 로고
    • A least squares method for the Helmholtz equation
    • Monk, P. & Wang, D. 1999 A least squares method for the Helmholtz equation. Comput. Meth. Appl. Mech. Engng 175, 121-136.
    • (1999) Comput. Meth. Appl. Mech. Engng , vol.175 , pp. 121-136
    • Monk, P.1    Wang, D.2
  • 73
    • 0028534187 scopus 로고
    • An unstructured grid algorithm for the solution of Maxwell's equations in the time domain
    • Morgan, K., Hassan, O. & Peraire, J. 1994 An unstructured grid algorithm for the solution of Maxwell's equations in the time domain. Int. J. Numer. Meth. Fluids 19, 849-863.
    • (1994) Int. J. Numer. Meth. Fluids , vol.19 , pp. 849-863
    • Morgan, K.1    Hassan, O.2    Peraire, J.3
  • 74
    • 0030196801 scopus 로고    scopus 로고
    • A time domain unstructured grid approach to the simulation of electromagnetic scattering in piecewise homogeneous media
    • Morgan, K., Hassan, O. & Peraire, J. 1996 A time domain unstructured grid approach to the simulation of electromagnetic scattering in piecewise homogeneous media. Comput. Meth. Appl. Mech. Engng 134, 17-36.
    • (1996) Comput. Meth. Appl. Mech. Engng , vol.134 , pp. 17-36
    • Morgan, K.1    Hassan, O.2    Peraire, J.3
  • 75
    • 0031647351 scopus 로고    scopus 로고
    • Parallel processing for the simulation of problems involving scattering of electromagnetic waves
    • Morgan, K., Brookes, P. J., Hassan, O. & Weatherill, N. P. 1998 Parallel processing for the simulation of problems involving scattering of electromagnetic waves. Comput. Meth. Appl. Mech. Engng 152, 157-174.
    • (1998) Comput. Meth. Appl. Mech. Engng , vol.152 , pp. 157-174
    • Morgan, K.1    Brookes, P.J.2    Hassan, O.3    Weatherill, N.P.4
  • 77
    • 1642291090 scopus 로고    scopus 로고
    • Finite elements using plane-wave basis for scattering of surface water waves
    • Ortiz, P. 2004 Finite elements using plane-wave basis for scattering of surface water waves. Phil. Trans. R. Soc. Lond. A 362, 525-540.
    • (2004) Phil. Trans. R. Soc. Lond. A , vol.362 , pp. 525-540
    • Ortiz, P.1
  • 78
    • 0035972098 scopus 로고    scopus 로고
    • An improved partition of unity finite element model for diffraction problems
    • Ortiz, P. & Sanchez, E. 2001 An improved partition of unity finite element model for diffraction problems. Int. J. Numer. Meth. Engng 50, 2727-2740.
    • (2001) Int. J. Numer. Meth. Engng , vol.50 , pp. 2727-2740
    • Ortiz, P.1    Sanchez, E.2
  • 79
    • 1642281055 scopus 로고    scopus 로고
    • On applications of high-frequency asymptotics in aeroacoustics
    • Peake, N. 2004 On applications of high-frequency asymptotics in aeroacoustics. Phil. Trans. R. Soc. Lond. A 362, 673-696.
    • (2004) Phil. Trans. R. Soc. Lond. A , vol.362 , pp. 673-696
    • Peake, N.1
  • 80
    • 0000703956 scopus 로고
    • The diffraction theory of sea waves and the shelter afforded by breakwaters
    • Penney, W. G. & Price, A. T. 1952 The diffraction theory of sea waves and the shelter afforded by breakwaters. Phil. Trans. R. Soc. Lond. A 244, 236-253.
    • (1952) Phil. Trans. R. Soc. Lond. A , vol.244 , pp. 236-253
    • Penney, W.G.1    Price, A.T.2
  • 81
    • 0036538203 scopus 로고    scopus 로고
    • New special boundary elements for short wave problems Commun
    • Perrey-Debain, E., Trevelyan, J. & Bettess, P. 2001 New special boundary elements for short wave problems Commun. Numer. Meth. Engng 18, 259-268.
    • (2001) Numer. Meth. Engng , vol.18 , pp. 259-268
    • Perrey-Debain, E.1    Trevelyan, J.2    Bettess, P.3
  • 82
    • 0037431386 scopus 로고    scopus 로고
    • Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: Numerical aspects and applications
    • Perrey-Debain, E., Trevelyan, J. & Bettess, P. 2003a Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications. J. Sound Vib. 261, 839-858.
    • (2003) J. Sound Vib. , vol.261 , pp. 839-858
    • Perrey-Debain, E.1    Trevelyan, J.2    Bettess, P.3
  • 83
    • 0041356989 scopus 로고    scopus 로고
    • Use of wave boundary elements for acoustic computations
    • Perrey-Debain, E., Trevelyan, J. & Bettess, P. 2003b Use of wave boundary elements for acoustic computations. J. Comput. Acoust. 11, 305-321.
    • (2003) J. Comput. Acoust. , vol.11 , pp. 305-321
    • Perrey-Debain, E.1    Trevelyan, J.2    Bettess, P.3
  • 84
    • 0346119118 scopus 로고    scopus 로고
    • P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems
    • Perrey-Debain, E., Trevelyan, J. & Bettess, P. 2003c P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems. Commun. Numer. Meth. Engng 19, 945-958.
    • (2003) Commun. Numer. Meth. Engng , vol.19 , pp. 945-958
    • Perrey-Debain, E.1    Trevelyan, J.2    Bettess, P.3
  • 85
    • 0002648999 scopus 로고
    • Über das asymptotische Verhalten der Lösungen von Δu+λu = 0 in unendlichen Gebieten
    • Rellich, F. 1943 Über das asymptotische Verhalten der Lösungen von Δu+λu = 0 in unendlichen Gebieten. Jahresber. Dtsch. Math.-Verein. 53, 57-65.
    • (1943) Jahresber. Dtsch. Math.-verein. , vol.53 , pp. 57-65
    • Rellich, F.1
  • 86
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin, V. 1985 Rapid solution of integral equations of classical potential theory. J. Computat. Phys. 60, 187-207.
    • (1985) J. Computat. Phys. , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 87
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory in two dimensions
    • Rokhlin, V. 1990 Rapid solution of integral equations of scattering theory in two dimensions. J. Computat. Phys. 86, 414-439.
    • (1990) J. Computat. Phys. , vol.86 , pp. 414-439
    • Rokhlin, V.1
  • 88
    • 9144246676 scopus 로고
    • Théorie mathématique de la diffraction
    • Sommerfeld, A. 1896 Théorie mathématique de la diffraction. Math. Ann. 47, 317-374.
    • (1896) Math. Ann. , vol.47 , pp. 317-374
    • Sommerfeld, A.1
  • 89
    • 0029378828 scopus 로고
    • Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering
    • Song, J. M. & Chew, W. C. 1995 Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering. Microwave Opt. Technol. Lett. 10, 14-19.
    • (1995) Microwave Opt. Technol. Lett. , vol.10 , pp. 14-19
    • Song, J.M.1    Chew, W.C.2
  • 91
    • 0005683767 scopus 로고    scopus 로고
    • Application of the discontinuous Galerkin method to Maxwell's equations using unstructured polymorphic hp-finite elements
    • ed. B. Cockburn, G. E. Karniadakis & C.-W. Shu. Springer
    • Warburton, T. 2000 Application of the discontinuous Galerkin method to Maxwell's equations using unstructured polymorphic hp-finite elements. In Discontinuous Galerkin methods (ed. B. Cockburn, G. E. Karniadakis & C.-W. Shu), pp. 451-458. Springer.
    • (2000) Discontinuous Galerkin Methods , pp. 451-458
    • Warburton, T.1
  • 93
    • 0017438738 scopus 로고
    • The coupling of the finite element method and boundary solution procedures
    • Zienkiewicz, O. C., Kelly, D. W. & Bettess, P. 1977 The coupling of the finite element method and boundary solution procedures. Int. J. Numer. Meth. Engng 11, 355-375.
    • (1977) Int. J. Numer. Meth. Engng , vol.11 , pp. 355-375
    • Zienkiewicz, O.C.1    Kelly, D.W.2    Bettess, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.