메뉴 건너뛰기




Volumn 4, Issue 4, 2011, Pages 271-280

Application of M-PML reflectionless boundary conditions to the numerical simulation of wave propagation in anisotropic media. Part I: Reflectivity

Author keywords

anisotropy; elastic wave equations; perfectly matched layer; reflectionless boundary conditions

Indexed keywords

ANISOTROPIC ELASTIC; MULTIAXIAL; OPTIMAL STABILIZATION; PERFECTLY MATCHED; PERFECTLY MATCHED LAYER; SOLUTION STABILITY; STABILIZATION PARAMETERS;

EID: 84155189741     PISSN: 19954239     EISSN: 19954247     Source Type: Journal    
DOI: 10.1134/S199542391104001X     Document Type: Article
Times cited : (20)

References (31)
  • 3
    • 84155175194 scopus 로고    scopus 로고
    • Nonsplit Perfectly Matched Layer for the Systemof Equations of the Dynamic Elasticity Theory
    • Lisitsa, V. V., Nonsplit Perfectly Matched Layer for the Systemof Equations of the Dynamic Elasticity Theory, Sib. Zh. Vych. Mat., 2007, vol. 10, no. 3, pp. 285-297.
    • (2007) Sib. Zh. Vych. Mat. , vol.10 , Issue.3 , pp. 285-297
    • Lisitsa, V.V.1
  • 4
    • 0000985886 scopus 로고    scopus 로고
    • Rapid Evaluation of Nonreflecting Boundary Kernels for 15 Time-Domain Wave Propagation
    • Alpert, B., Greengard, L., and Hagstrom, T., Rapid Evaluation of Nonreflecting Boundary Kernels for 15 Time-Domain Wave Propagation, SAIM J. Num. Anal., 2000, vol. 37, pp. 1138-1164.
    • (2000) SAIM J. Num. Anal. , vol.37 , pp. 1138-1164
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 5
    • 0037142938 scopus 로고    scopus 로고
    • Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation
    • Alpert, B., Greengard, L., and Hagstrom, T., Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation, J. Comp. Phys., 2002, vol. 180, pp. 270-296.
    • (2002) J. Comp. Phys. , vol.180 , pp. 270-296
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 6
    • 33847744194 scopus 로고    scopus 로고
    • Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well-Posedness and Stability
    • Appelo, D., Hagstrom, T., and Kreiss, G., Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well-Posedness and Stability, SIAM J. Appl. Math., 2006, vol. 67, pp. 1-23.
    • (2006) SIAM J. Appl. Math. , vol.67 , pp. 1-23
    • Appelo, D.1    Hagstrom, T.2    Kreiss, G.3
  • 7
    • 33645909260 scopus 로고    scopus 로고
    • A New Absorbing Layer for Elastic Waves
    • Appelo, D. and Kreiss, G., A New Absorbing Layer for Elastic Waves, J. Comp. Phys., 2005, vol. 215, pp. 642-660.
    • (2005) J. Comp. Phys. , vol.215 , pp. 642-660
    • Appelo, D.1    Kreiss, G.2
  • 9
    • 84980167404 scopus 로고
    • Radiation Boundary Conditions for Wave-Like Equations
    • Bayliss, A. and Turkel, E., Radiation Boundary Conditions for Wave-Like Equations, Comm. Pure Appl. Math., 1980, vol. 33, pp. 707-725.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 707-725
    • Bayliss, A.1    Turkel, E.2
  • 10
    • 0038109871 scopus 로고    scopus 로고
    • Stability of Perfectly Matched Layers, Group Velocities and Anisotropic Waves
    • Bécache, E., Fauqueux, S., and Joly, P., Stability of Perfectly Matched Layers, Group Velocities and Anisotropic Waves, J. Comp. Phys., 2003, vol. 188, no. 2, pp. 399-433.
    • (2003) J. Comp. Phys. , vol.188 , Issue.2 , pp. 399-433
    • Bécache, E.1    Fauqueux, S.2    Joly, P.3
  • 11
    • 72149092244 scopus 로고    scopus 로고
    • High-Order Absorbing Boundary Conditions for Anisotropic and Convective Wave Equations
    • Bécache, E., Givoli, D., and Hagstrom, T., High-Order Absorbing Boundary Conditions for Anisotropic and Convective Wave Equations, J. Comp. Phys., 2010, vol. 229, no. 4, pp. 1099-1129.
    • (2010) J. Comp. Phys. , vol.229 , Issue.4 , pp. 1099-1129
    • Bécache, E.1    Givoli, D.2    Hagstrom, T.3
  • 12
    • 28044459877 scopus 로고
    • A Perfectly Matched Layer for the Absorption of Electromagnetic Waves
    • Berenger, J.-P., A Perfectly Matched Layer for the Absorption of Electromagnetic Waves, J. Comp. Phys., 1994, vol. 114, pp. 185-200.
    • (1994) J. Comp. Phys. , vol.114 , pp. 185-200
    • Berenger, J.-P.1
  • 13
    • 0032475725 scopus 로고    scopus 로고
    • Optimizing the Perfectly Matched Layer
    • Collino, F. and Monk, P. B., Optimizing the Perfectly Matched Layer, Comp. Meth. Appl. Mech. Eng., 1998, vol. 164, pp. 157-171.
    • (1998) Comp. Meth. Appl. Mech. Eng. , vol.164 , pp. 157-171
    • Collino, F.1    Monk, P.B.2
  • 14
    • 0035071437 scopus 로고    scopus 로고
    • Application of the Perfectly Matched Layer Absorbing Layer Model to the Linear Elastodynamic Problem in Anisotropic Heterogeneous Media
    • Collino, F. and Tsogka, C., Application of the Perfectly Matched Layer Absorbing Layer Model to the Linear Elastodynamic Problem in Anisotropic Heterogeneous Media, Geophys., 2001, vol. 66, pp. 294-307.
    • (2001) Geophys. , vol.66 , pp. 294-307
    • Collino, F.1    Tsogka, C.2
  • 15
    • 84966208271 scopus 로고
    • Absorbing Boundary Conditions for the Numerical Simulation of Waves
    • Engquist, B. and Majda, A., Absorbing Boundary Conditions for the Numerical Simulation of Waves, Math. Comp., 1977, vol. 31, pp. 629-651.
    • (1977) Math. Comp. , vol.31 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 16
    • 0038408638 scopus 로고    scopus 로고
    • Accurate Radiation Boundary Conditions for the Linearized Euler Equations in Cartesian Domains
    • Hagstrom, T. and Goodrich, J., Accurate Radiation Boundary Conditions for the Linearized Euler Equations in Cartesian Domains, SIAM J. Sci. Comp., 2003, vol. 24, pp. 770-795.
    • (2003) SIAM J. Sci. Comp. , vol.24 , pp. 770-795
    • Hagstrom, T.1    Goodrich, J.2
  • 17
    • 0002618740 scopus 로고
    • Numerical Absorbing Boundary Conditions for the Wave Equation
    • Higdon, R., Numerical Absorbing Boundary Conditions for the Wave Equation, Math. Comp., 1987, vol. 49, pp. 65-90.
    • (1987) Math. Comp. , vol.49 , pp. 65-90
    • Higdon, R.1
  • 18
    • 0346902967 scopus 로고    scopus 로고
    • Non-Reflecting Boundary Conditions for Maxwell's Equations
    • Hiptmair, R. and Schadle, A., Non-Reflecting Boundary Conditions for Maxwell's Equations, Comput., 2003, vol. 71, pp. 265-292.
    • (2003) Comput. , vol.71 , pp. 265-292
    • Hiptmair, R.1    Schadle, A.2
  • 19
    • 34548525022 scopus 로고    scopus 로고
    • An Unsplit Convolutional Perfectly Matched Layer Improved at Grazing Incidence for the Seismic Wave Equation
    • Komatitsch, D. and Martin, R., An Unsplit Convolutional Perfectly Matched Layer Improved at Grazing Incidence for the Seismic Wave Equation, Geophys., 2007, vol. 72, no. 5, pp. SM155-SM167.
    • (2007) Geophys. , vol.72 , Issue.5
    • Komatitsch, D.1    Martin, R.2
  • 20
    • 11744350396 scopus 로고
    • Free Space Boundary Conditions for the Time Dependent Wave Equation
    • Lindman, E., Free Space Boundary Conditions for the Time Dependent Wave Equation, J. Comp. Phys., 1975, vol. 18, pp. 66-78.
    • (1975) J. Comp. Phys. , vol.18 , pp. 66-78
    • Lindman, E.1
  • 21
    • 77955227566 scopus 로고    scopus 로고
    • Reflectionless Truncation of Target Area for Axially Symmetric Anisotropic Elasticity
    • Lisitsa, V. and Lys, E., Reflectionless Truncation of Target Area for Axially Symmetric Anisotropic Elasticity, J. Comp. Appl. Math., 2010, vol. 234, no. 6, pp. 1803-1809.
    • (2010) J. Comp. Appl. Math. , vol.234 , Issue.6 , pp. 1803-1809
    • Lisitsa, V.1    Lys, E.2
  • 22
    • 77953603491 scopus 로고    scopus 로고
    • Lebedev Scheme for the Numerical Simulation of Wave Propagation in 3D Anisotropic Elasticity
    • Lisitsa, V. and Vishnevskiy, D., Lebedev Scheme for the Numerical Simulation of Wave Propagation in 3D Anisotropic Elasticity, Geophys. Prosp., 2010, vol. 58, no. 4, pp. 619-635.
    • (2010) Geophys. Prosp. , vol.58 , Issue.4 , pp. 619-635
    • Lisitsa, V.1    Vishnevskiy, D.2
  • 23
    • 58449094845 scopus 로고    scopus 로고
    • Optimal Discretization of PML for Elasticity Problems
    • Lisitsa, V., Optimal Discretization of PML for Elasticity Problems, Electron. Trans. Num. Anal., 2008, vol. 30, pp. 258-277.
    • (2008) Electron. Trans. Num. Anal. , vol.30 , pp. 258-277
    • Lisitsa, V.1
  • 24
    • 0037252875 scopus 로고    scopus 로고
    • Fast Convolution for Non-Reflecting Boundary Conditions
    • Lubich, C. and Schadle, A., Fast Convolution for Non-Reflecting Boundary Conditions, SIAM J. Sci. Comp., 2002, vol. 24, pp. 161-182.
    • (2002) SIAM J. Sci. Comp. , vol.24 , pp. 161-182
    • Lubich, C.1    Schadle, A.2
  • 25
    • 50549095713 scopus 로고    scopus 로고
    • A Nonconvolutional, Split-Field, Perfectly Matched Layer for Wave Propagation in Isotropic and Anisotropic Elastic Media: Stability Analysis
    • Meza-Fajardo Kristel, C. and Papageorgiou Apostolos, S., A Nonconvolutional, Split-Field, Perfectly Matched Layer for Wave Propagation in Isotropic and Anisotropic Elastic Media: Stability Analysis, Bull. Seism. Soc. Am., 2008, no. 4, pp. 1811-1836.
    • (2008) Bull. Seism. Soc. Am , Issue.4 , pp. 1811-1836
    • Meza-Fajardo Kristel, C.1    Papageorgiou Apostolos, S.2
  • 26
    • 0033688246 scopus 로고    scopus 로고
    • Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell's Equations in Rectangular, Cylindrical and Spherical Coordinates
    • Petropoulos, P., Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell's Equations in Rectangular, Cylindrical and Spherical Coordinates, SIAM J. Appl. Math., 2000, vol. 60, pp. 1037-1058.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1037-1058
    • Petropoulos, P.1
  • 27
    • 77955278768 scopus 로고    scopus 로고
    • Absorbing Boundary Conditions for Scalar Waves in Anisotropic Media. Part 1: Time Harmonic Modeling
    • Savadatti, S. and Guddati, M. N., Absorbing Boundary Conditions for Scalar Waves in Anisotropic Media. Part 1: Time Harmonic Modeling, J. Comp. Phys., 2010, vol. 229, no. 19, pp. 6696-6714.
    • (2010) J. Comp. Phys. , vol.229 , Issue.19 , pp. 6696-6714
    • Savadatti, S.1    Guddati, M.N.2
  • 28
    • 77954144466 scopus 로고    scopus 로고
    • Absorbing Boundary Conditions for Scalar Waves in Anisotropic Media. Part 2: Time-Dependent Modeling
    • Savadatti, S. and Guddati, M. N., Absorbing Boundary Conditions for Scalar Waves in Anisotropic Media. Part 2: Time-Dependent Modeling, J. Comp. Phys., 2010, vol. 229, no. 18, pp. 6644-6662.
    • (2010) J. Comp. Phys. , vol.229 , Issue.18 , pp. 6644-6662
    • Savadatti, S.1    Guddati, M.N.2
  • 29
    • 0032274931 scopus 로고    scopus 로고
    • Artificial Boundary Conditions of Absolute Transparency for Two and Three-Dimensional External Time-Dependent Scattering Problems
    • Sofronov, I. L., Artificial Boundary Conditions of Absolute Transparency for Two and Three-Dimensional External Time-Dependent Scattering Problems, Euro. J. Appl. Math., 1998, vol. 9, no. 6, pp. 561-588.
    • (1998) Euro. J. Appl. Math. , vol.9 , Issue.6 , pp. 561-588
    • Sofronov, I.L.1
  • 30
    • 0032137784 scopus 로고    scopus 로고
    • Numerical Solution of Problems on Unbounded Domain. A Review
    • Tsynkov, S. V., Numerical Solution of Problems on Unbounded Domain. A Review, Appl. Num. Math., 1998, vol. 27, no. 4, pp. 465-532.
    • (1998) Appl. Num. Math. , vol.27 , Issue.4 , pp. 465-532
    • Tsynkov, S.V.1
  • 31
    • 0022928752 scopus 로고
    • P-SV Wave Propagation in Heterogeneous Media: Velocity-Stress Finite-Difference Method
    • Virieux, J., P-SV Wave Propagation in Heterogeneous Media: Velocity-Stress Finite-Difference Method, Geophys., 1986, vol. 51, no. 4, pp. 889-901.
    • (1986) Geophys. , vol.51 , Issue.4 , pp. 889-901
    • Virieux, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.