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Volumn 188, Issue 2, 2003, Pages 399-433

Stability of perfectly matched layers, group velocities and anisotropic waves

Author keywords

Absorbing layers; Anisotropy; Elastodynamics; Fourier analysis; Hyperbolic systems; Linearized Euler equations; Perfectly matched layers; Stability

Indexed keywords

ANISOTROPIC MEDIA; ANISOTROPY; CIRCULAR WAVEGUIDES; ELECTROMAGNETIC WAVES; EULER EQUATIONS; FOURIER ANALYSIS; LINEARIZATION; MAXWELL EQUATIONS; NUMERICAL METHODS; WAVE EQUATIONS; WAVE PROPAGATION;

EID: 0038109871     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00184-0     Document Type: Article
Times cited : (297)

References (39)
  • 1
    • 0000804987 scopus 로고    scopus 로고
    • Well-posed perfectly matched layers for advective acoustics
    • S. Abarbanel, D. Gottlieb, J.S. Hesthaven, Well-posed perfectly matched layers for advective acoustics, J. Comput. Phys. 154 (2) (1999) 266-283.
    • (1999) J. Comput. Phys. , vol.154 , Issue.2 , pp. 266-283
    • Abarbanel, S.1    Gottlieb, D.2    Hesthaven, J.S.3
  • 2
    • 0012135401 scopus 로고    scopus 로고
    • Long time behavior of the perfectly matched layer equations in computational elactromagnetics
    • S. Abarbanel, D. Gottlieb, J.S. Hesthaven, Long time behavior of the perfectly matched layer equations in computational elactromagnetics, J. Sci. Comput. 17 (1-4) (2002) 405-422.
    • (2002) J. Sci. Comput. , vol.17 , Issue.1-4 , pp. 405-422
    • Abarbanel, S.1    Gottlieb, D.2    Hesthaven, J.S.3
  • 4
    • 4243847072 scopus 로고    scopus 로고
    • On the long-time behavior of unsplit perfectly matched layers
    • Technical Report 4538, INRIA, submitted
    • E. Bécache, P.G. Petropoulos, S. Gedney, On the long-time behavior of unsplit perfectly matched layers, Technical Report 4538, INRIA, 2002, submitted.
    • (2002)
    • Bécache, E.1    Petropoulos, P.G.2    Gedney, S.3
  • 5
    • 85190113529 scopus 로고    scopus 로고
    • Perfectly matched layers for the convected helmholtz equation
    • Rapport de Recherche, INRIA, accepted in SINUM
    • E. Bécache, A.-S. Bonnet-Ben Dhia, G. Legendre, Perfectly matched layers for the convected helmholtz equation, Rapport de Recherche, INRIA, 2002, accepted in SINUM.
    • (2002)
    • Bécache, E.1    Bonnet-Ben Dhia, A.-S.2    Legendre, G.3
  • 6
    • 0036339907 scopus 로고    scopus 로고
    • On the analysis of Bérenger's perfectly matched layers for Maxwell equations
    • E. Bécache, P. Joly, On the analysis of Bérenger's perfectly matched layers for Maxwell equations, M2AN 36 (1) (2002) 87-120.
    • (2002) M2AN , vol.36 , Issue.1 , pp. 87-120
    • Bécache, E.1    Joly, P.2
  • 7
    • 0037989538 scopus 로고    scopus 로고
    • Stability of perfectly matched layers, group velocities and anisotropic waves
    • Rapport de Recherche 4304, INRIA
    • E. Bécache, P. Joly, S. Fauqueux, Stability of perfectly matched layers, group velocities and anisotropic waves, Rapport de Recherche 4304, INRIA, 2001.
    • (2001)
    • Bécache, E.1    Joly, P.2    Fauqueux, S.3
  • 8
    • 0035604025 scopus 로고    scopus 로고
    • Fictitious domains, mixed finite elements and perfectly matched layers for 2D elastic wave propagation
    • E. Bécache, P. Joly, C. Tsogka, Fictitious domains, mixed finite elements and perfectly matched layers for 2D elastic wave propagation, J. Comput. Acoust. 9 (3) (2001) 1175-1203.
    • (2001) J. Comput. Acoust. , vol.9 , Issue.3 , pp. 1175-1203
    • Bécache, E.1    Joly, P.2    Tsogka, C.3
  • 9
    • 0036556456 scopus 로고    scopus 로고
    • A new family of mixed finite elements for the linear elastodynamic problem
    • (electronic)
    • E. Bécache, P. Joly, C. Tsogka, A new family of mixed finite elements for the linear elastodynamic problem, SIAM J. Numer. Anal. 39 (6) (2002) 2109-2132 (electronic).
    • (2002) SIAM J. Numer. Anal. , vol.39 , Issue.6 , pp. 2109-2132
    • Bécache, E.1    Joly, P.2    Tsogka, C.3
  • 10
    • 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
  • 11
    • 0030239565 scopus 로고    scopus 로고
    • Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
    • J.P. Bérenger, Three-dimensional perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 127 (2) (1996) 363-379.
    • (1996) J. Comput. Phys. , vol.127 , Issue.2 , pp. 363-379
    • Bérenger, J.P.1
  • 12
    • 0031098478 scopus 로고    scopus 로고
    • Improved PML for the FDTD solution of wave-structure interaction problems
    • J.P. Bérenger, Improved PML for the FDTD solution of wave-structure interaction problems, IEEE Trans. Antennas Propag. 45 (3) (1997) 466-473.
    • (1997) IEEE Trans. Antennas Propag. , vol.45 , Issue.3 , pp. 466-473
    • Bérenger, J.P.1
  • 13
    • 0028498156 scopus 로고
    • A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates
    • W.C. Chew, W.H. Weedon, A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates, IEEE Microwave Opt. Technol. Lett. 7 (13) (1994) 599-604.
    • (1994) IEEE Microwave Opt. Technol. Lett. , vol.7 , Issue.13 , pp. 599-604
    • Chew, W.C.1    Weedon, W.H.2
  • 14
    • 0034345541 scopus 로고    scopus 로고
    • Mixed finite elements with mass-lumping for the transient wave equation
    • G. Cohen, S. Fauqueux, Mixed finite elements with mass-lumping for the transient wave equation, J. Comput. Acoust. 8 (2000) 171-188.
    • (2000) J. Comput. Acoust. , vol.8 , pp. 171-188
    • Cohen, G.1    Fauqueux, S.2
  • 15
    • 0000167493 scopus 로고    scopus 로고
    • Perfectly matched absorbing layers for the paraxial equations
    • F. Collino, Perfectly matched absorbing layers for the paraxial equations, J. Comput. Phys. 131 (1) (1997) 164-180.
    • (1997) J. Comput. Phys. , vol.131 , Issue.1 , pp. 164-180
    • Collino, F.1
  • 16
    • 0009934861 scopus 로고    scopus 로고
    • Conditions et couches absorbantes pour les équations de Maxwell
    • G. Cohen, P. Joly (Eds.), Ecole des Ondes, Chapter 4, INRIA, Rocquencourt
    • F. Collino, P. Monk, Conditions et couches absorbantes pour les équations de Maxwell, in: G. Cohen, P. Joly (Eds.), Aspects récents en méthodes numériques pour les équations de Maxwell, Ecole des Ondes, Chapter 4, INRIA, Rocquencourt, 1998.
    • (1998) Aspects Récents En Méthodes Numériques Pour les équations De Maxwell
    • Collino, F.1    Monk, P.2
  • 17
    • 0035071437 scopus 로고    scopus 로고
    • Application of the pml absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media
    • F. Collino, C. Tsogka, Application of the pml absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media, Geophysics 66 (1) (2001) 294-307.
    • (2001) Geophysics , vol.66 , Issue.1 , pp. 294-307
    • Collino, F.1    Tsogka, C.2
  • 18
    • 85190159626 scopus 로고    scopus 로고
    • Stabilized perfectly matched layers for advective acoustics
    • Proceedings of the 6th International Conference on Mathematical Aspects of Wave Propagation, Jyvaskyla (Finland), June 30th-July 4th
    • J. Diaz, P. Joly, Stabilized perfectly matched layers for advective acoustics, in: Proceedings of the 6th International Conference on Mathematical Aspects of Wave Propagation, Jyvaskyla (Finland), June 30th-July 4th, 2003.
    • (2003)
    • Diaz, J.1    Joly, P.2
  • 19
    • 85190115592 scopus 로고    scopus 로고
    • Personal communication
    • T. Fouquet, Personal communication.
    • Fouquet, T.1
  • 20
    • 1642368236 scopus 로고    scopus 로고
    • Absorbing layers and radiation boundary conditions for jet flow simulations
    • Proceedings of the 8th AIAA/CEAS Aeroacoustics Conf
    • T. Hagstrom, I. Nazarov, Absorbing layers and radiation boundary conditions for jet flow simulations, in: Proceedings of the 8th AIAA/CEAS Aeroacoustics Conf., 2002.
    • (2002)
    • Hagstrom, T.1    Nazarov, I.2
  • 21
    • 0029858582 scopus 로고    scopus 로고
    • Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation
    • F. Hastings, J.B. Schneider, S.L. Broschat, Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation, J. Acoust. Soc. Am. 100 (1996) 3061-3069.
    • (1996) J. Acoust. Soc. Am. , vol.100 , pp. 3061-3069
    • Hastings, F.1    Schneider, J.B.2    Broschat, S.L.3
  • 22
    • 0007538137 scopus 로고    scopus 로고
    • On the analysis and construction of perfectly matched layers for the linearized Euler equations
    • J.S. Hesthaven, On the analysis and construction of perfectly matched layers for the linearized Euler equations, J. Comput. Phys. 142 (1998) 129-147.
    • (1998) J. Comput. Phys. , vol.142 , pp. 129-147
    • Hesthaven, J.S.1
  • 23
    • 0022728049 scopus 로고
    • Initial-boundary value problems for linear hyperbolic systems
    • R.L. Higdon, Initial-boundary value problems for linear hyperbolic systems, SIAM Rev. 28 (2) (1986).
    • (1986) SIAM Rev. , vol.28 , Issue.2
    • Higdon, R.L.1
  • 24
    • 0030295521 scopus 로고    scopus 로고
    • On absorbing boundary conditions for linearized euler equations by a perfectly matched layer
    • F.Q Hu, On absorbing boundary conditions for linearized euler equations by a perfectly matched layer, J. Comput. Phys. 129 (1996) 201-219.
    • (1996) J. Comput. Phys. , vol.129 , pp. 201-219
    • Hu, F.Q.1
  • 25
    • 0003862232 scopus 로고
    • Perturbation Theory for Linear Operators
    • Springer, Berlin
    • T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin, 1980.
    • (1980)
    • Kato, T.1
  • 26
    • 0003542747 scopus 로고
    • Initial-Boundary Value Problems and the Navier-Stokes Equations
    • Academic Press, Boston, USA
    • H.-O. Kreiss, J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations, in: Pure Appl. Math., vol. 136, Academic Press, Boston, USA, 1989.
    • (1989) Pure Appl. Math. , vol.136
    • Kreiss, H.-O.1    Lorenz, J.2
  • 27
    • 0033562047 scopus 로고    scopus 로고
    • Caractère bien posè du problème de Cauchy pour le système de Bérenger
    • J. Métral, O. Vacus, Caractère bien posè du problème de Cauchy pour le système de Bérenger, C.R.A.S., I Math. (10) (1999) 847-852.
    • (1999) C.R.A.S., I Math. , Issue.10 , pp. 847-852
    • Métral, J.1    Vacus, O.2
  • 28
    • 0033688246 scopus 로고    scopus 로고
    • Reflectionless sponge layers as absorbing boundary condition for the numerical solution of Maxwell's equations in rectangular, cylindrical, and spherical coordinates
    • P.G. Petropoulos, Reflectionless sponge layers as absorbing boundary condition for the numerical solution of Maxwell's equations in rectangular, cylindrical, and spherical coordinates, SIAM J. Appl. Math. 60 (3) (2000) 1037-1058.
    • (2000) SIAM J. Appl. Math. , vol.60 , Issue.3 , pp. 1037-1058
    • Petropoulos, P.G.1
  • 29
    • 0002210417 scopus 로고    scopus 로고
    • A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell's equations with high-order staggered finite difference schemes
    • P.G. Petropoulos, L. Zhao, A.C. Cangellaris, A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell's equations with high-order staggered finite difference schemes, J. Comput. Phys. 139 (1) (1998) 184-208.
    • (1998) J. Comput. Phys. , vol.139 , Issue.1 , pp. 184-208
    • Petropoulos, P.G.1    Zhao, L.2    Cangellaris, A.C.3
  • 30
    • 0003894547 scopus 로고    scopus 로고
    • Des modèles PML bien posés pour divers problèmes hyperboliques
    • Ph.D. Thesis, Universitè Paris Nord-Paris XIII
    • A.N. Rahmouni, Des modèles PML bien posés pour divers problèmes hyperboliques, Ph.D. Thesis, Universitè Paris Nord-Paris XIII, 2000.
    • (2000)
    • Rahmouni, A.N.1
  • 31
    • 0029274377 scopus 로고
    • Perfectly matched absorbing conditions based on anisotropic lossy mapping of space
    • C.M. Rappaport, Perfectly matched absorbing conditions based on anisotropic lossy mapping of space, IEEE Microwave and Guided Wave Lett. 5 (3) (1995) 90-92.
    • (1995) IEEE Microwave and Guided Wave Lett. , vol.5 , Issue.3 , pp. 90-92
    • Rappaport, C.M.1
  • 32
    • 0000665373 scopus 로고    scopus 로고
    • Perfectly matched layer as an absorbing boundary condition for the linearized Euler equations in open and ducted domains
    • C.K.W. Tarn, L. Auriault, F. Cambuli, Perfectly matched layer as an absorbing boundary condition for the linearized Euler equations in open and ducted domains, J. Comput. Phys. 144 (1) (1998) 213-234.
    • (1998) J. Comput. Phys. , vol.144 , Issue.1 , pp. 213-234
    • Tarn, C.K.W.1    Auriault, L.2    Cambuli, F.3
  • 33
    • 0032025544 scopus 로고    scopus 로고
    • On causality and dynamic stability of perfectly matched layers for FDTD simulations
    • F.L. Teixeira, W.C. Chew, On causality and dynamic stability of perfectly matched layers for FDTD simulations, Microwave Opt. Technol. Lett. 17 (1998) 231-236.
    • (1998) Microwave Opt. Technol. Lett. , vol.17 , pp. 231-236
    • Teixeira, F.L.1    Chew, W.C.2
  • 34
    • 0000125555 scopus 로고
    • Group velocity in finite difference schemes
    • L.N. Trefethen, Group velocity in finite difference schemes, SIAM Rev. 24 (2) (1982).
    • (1982) SIAM Rev. , vol.24 , Issue.2
    • Trefethen, L.N.1
  • 35
    • 0001185178 scopus 로고
    • Group velocity interpretation of the stability theory of gustafsson, kreiss and sundström
    • L.N. Trefethen, Group velocity interpretation of the stability theory of gustafsson, kreiss and sundström, J. Comput. Phys. 49 (2) (1983).
    • (1983) J. Comput. Phys. , vol.49 , Issue.2
    • Trefethen, L.N.1
  • 36
    • 84990553414 scopus 로고
    • Instability of difference models for hyperbolic initial boundary value problems
    • L.N. Trefethen, Instability of difference models for hyperbolic initial boundary value problems, Commun. Pure Appl. Math. 37 (1984) 329-367.
    • (1984) Commun. Pure Appl. Math. , vol.37 , pp. 329-367
    • Trefethen, L.N.1
  • 37
    • 0032137824 scopus 로고    scopus 로고
    • Absorbing PML boundary layers for wave-like equations
    • E. Turkel, A. Yefet, Absorbing PML boundary layers for wave-like equations, Appl. Numer. Math. 27 (4) (1998) 533-557.
    • (1998) Appl. Numer. Math. , vol.27 , Issue.4 , pp. 533-557
    • Turkel, E.1    Yefet, A.2
  • 38
    • 0030150091 scopus 로고    scopus 로고
    • A general approach for the development of unsplit-field time-domain implementations of perfectly matched layers for FDTD grid truncation
    • L. Zhao, A.C. Cangellaris, A general approach for the development of unsplit-field time-domain implementations of perfectly matched layers for FDTD grid truncation, IEEE Microwave and Guided Lett. 6 (5) (1996).
    • (1996) IEEE Microwave and Guided Lett. , vol.6 , Issue.5
    • Zhao, L.1    Cangellaris, A.C.2
  • 39
    • 0030387909 scopus 로고    scopus 로고
    • GT PML: Generalize theory of perfectly matched layers and its application to the reflectionless truncation of finite-difference time-domain grids
    • L. Zhao, A.C. Cangellaris, GT PML: generalize theory of perfectly matched layers and its application to the reflectionless truncation of finite-difference time-domain grids, IEEE Trans. Microwave Theory Technol. 44 (1996) 2555-2563.
    • (1996) IEEE Trans. Microwave Theory Technol. , vol.44 , pp. 2555-2563
    • Zhao, L.1    Cangellaris, A.C.2


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