References
- Appelo, D. and Kreiss, G. (2006), "A new absorbing layer for elastic waves", J. Comput. Phys., 215, 642- 660. https://doi.org/10.1016/j.jcp.2005.11.006
- Basu, U. (2004), "Explicit finite element perfectly matched layer for transient three-dimensional elastic waves", Int. J. Numer. Method. Eng., 77, 151-176.
- Basu, U. (2004), "Perfectly matched layers for acoustic and elastic waves: theory, finite element implementation and application to earthquake analysis of dam-water-foundation rock systems", Ph.D. Dissertation, Civil and Environmental Engineering Faculty, University of California Berkeley, Berkeley.
- Basu, U. and Chopra, A.K. (2003), "Perfectly matched layers for time-harmonic elastodynamics of unbounded domains theory and finite-element implementation", Comput. Method. Appl. Mech. Eng., 192, 1337-1375. https://doi.org/10.1016/S0045-7825(02)00642-4
- Basu, U. and Chopra, A.K. (2004), "Perfectly matched layers for transient elastodynamics of unbounded domains", Int. J. Numer. Method. Eng., 59, 1039-1074. https://doi.org/10.1002/nme.896
- Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall, Inc., New Jersey, NY, USA.
- Berenger, J.P. (1994), "A perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., 114, 185-200. https://doi.org/10.1006/jcph.1994.1159
- Chew, W.C., Jin, J.M. and Michielssen, E. (1997), "Complex coordinate stretching as a generalized absorbing boundary condition", Microw. Opt. Tech. Let., 15(6), 363-369. https://doi.org/10.1002/(SICI)1098-2760(19970820)15:6<363::AID-MOP8>3.0.CO;2-C
- Chew, W.C. and Liu, Q.H. (1996), "Perfectly Matched Layers for Elastodynamics: A new absorbing boundary condition", J. Comput. Acoust., 4(4), 341-359. https://doi.org/10.1142/S0218396X96000118
- Collino, F. and Tsogka, C. (2001), "Application of the PML absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media", Geophysics, 66(1), 294-307. https://doi.org/10.1190/1.1444908
- Feltrin, G. (1997), "Rational absorbing boundaries for the time-domain analysis of dam-reservoir-foundation systems", PhD Dissertation, Institute of Structural Engineering, Swiss Federal Institute of Technology, Zurich.
- Givoli, D. (1999), "Recent advances in the DtN FE method", Arch. Comput. Method. Eng., 6(2), 73-116.
- Givoli, D. (2004), "High-order local non-reflecting boundary conditions: a review", Wave. Mot., 39, 319- 326. https://doi.org/10.1016/j.wavemoti.2003.12.004
- Harrari, I. and Albocher, U. (2006), "Studies of FE-PML for exterior problems of time-harmonic elastic waves", Comput. Method. Appl. Mech. Eng., 195, 3854-3879. https://doi.org/10.1016/j.cma.2005.01.024
- Harrari, I. and Slavutin, M. (2000), "Analytical and numerical studies of a finite element PML for the Helmholtz equation", J. Comput. Acoust., 8(1), 121-137. https://doi.org/10.1142/S0218396X0000008X
- Hastings, F.D., Schneider, J.B. and Broscha, S.L. (1996), "Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation", J. Acoust. Soc. Am., 100(5), 3061-3069. https://doi.org/10.1121/1.417118
- Katsibas Theodoros, K. and Antonopoulos Christos, S. (2004), "A general form of perfectly matched layers for three-dimensional problems of acoustic scattering in lossless and lossy fluid media", IEEE Tran. Ultra. Ferr. Freq. Control, 51(8), 964-972. https://doi.org/10.1109/TUFFC.2004.1324400
- Khazaee, A. and Lotfi, V. (2014), "Application of perfectly matched layers in the time harmonic analysis of dam-reservoir systems", Earthq. Struct. (Unpublished results)
- Khazaee, A. and Lotfi, V. (2014), "Application of perfectly matched layers in the transient analysis of damreservoir systems", Soil Dyn. Earthq. Eng., 60, 51-68. https://doi.org/10.1016/j.soildyn.2014.01.005
- Kim, D.K. and Yun, C.B. (2000), "Time-domain soil-structure interaction analysis in two-dimensional medium based on analytical frequency-dependent infinite elements", Int. J. Numer. Method. Eng., 47, 1241-1261. https://doi.org/10.1002/(SICI)1097-0207(20000310)47:7<1241::AID-NME807>3.0.CO;2-9
-
Kim, S. and Pasciak, J.E. (2012), "Analysis of Cartesian PML approximation to acoustic scattering problems in
$R^{2}$ ", Wave Mot, 49, 238-257. https://doi.org/10.1016/j.wavemoti.2011.10.001 - Lancioni, G. (2011), "Numerical comparison of high-order absorbing boundary conditions and perfectly matched layers for a dispersive one-dimensional medium", Comput Method. Appl. Mech. Eng., 209, 209- 212.
- Liu, Q.H. (1999), "Perfectly matched layers for elastic waves in cylindrical and spherical coordinates", J. Acoust. Soc. Am., 105(4), 99-105.
- Liu, J., Ma, J. and Yang, H. (2009), "The study of perfectly matched layer absorbing boundaries for SH wave fields", App. Geophysics, 6(3), 267-274. https://doi.org/10.1007/s11770-009-0023-0
- Lotfi, V., Rosset, J. and Tassoulas, J.L. (1987), "A technique for the analysis of the response of dams to earthquakes", Earthq. Eng. Struct. Dyn., 15, 463-490. https://doi.org/10.1002/eqe.4290150405
- Lysmer, J. and Kohlemeyer, R.L. (1969). "Finite dynamic model for infinite media", J. Eng. Mech., ASCE, 95(EM4), 859-877.
- Ma, S. and Liu, P. (2006), "Modeling of the perfectly matched layer absorbing boundaries and intrinsic attenuation in explicit finite-element method", B. Seismol. Soc. Am., 96(5), 1779-1794. https://doi.org/10.1785/0120050219
- Park, S.H. and Antin, N. (2004), "A discontinuous Galerkin method for seismic soil-structure interaction analysis in the time domain", Earthq. Eng. Struct. Dyn., 33, 285-293. https://doi.org/10.1002/eqe.353
- Park, S.H. and Tassoulas, J.L. (2002), "A discontinuous Galerkin method for transient analysis of wave propagation in unbounded domains", Comput. Method. Appl. Mech. Eng., 191, 3983-4011. https://doi.org/10.1016/S0045-7825(02)00352-3
- Petropoulos, P.G. (1998), "On the termination of the perfectly matched layer with local absorbing boundary conditions", J. Comput. Phys., 143, 665-673. https://doi.org/10.1006/jcph.1998.5979
- Qin, Z., Lu, M., Aheng, X., Yao, Y., Zhang, C. and Song, J. (2009), "The implementation of an improved NPML absorbing boundary condition in elastic wave modeling", Appl. Geophys, 6(2), 113-121. https://doi.org/10.1007/s11770-009-0012-3
- Song, C. and Wolf, J.P. (2000), "The scaled boundary finite-element method, a primer: Derivations", Comput. Struct., 78, 129-210.
- Song, C. and Wolf, J.P. (2000), "The scaled boundary finite-element method, a primer: solution procedures", Comput. Struct., 78, 211-225. https://doi.org/10.1016/S0045-7949(00)00100-0
- Wilson, E.L. (2002), Three-dimensional static and dynamic analysis of structures, Computers and structures, Inc., Berkeley, California, USA.
- Yazdchi, M., Valliapan, S. and Khalili, N. (1999), "Non-linear seismic behavior of concrete gravity dams using coupled finite element-boundary element technique", Int. J. Numer. Method. Eng., 44, 101-130. https://doi.org/10.1002/(SICI)1097-0207(19990110)44:1<101::AID-NME495>3.0.CO;2-4
- Yun, C.B., Kim, D.K. and Kim, J.M. (2000), "Analytical frequency-dependent infinite elements for soilstructure interaction analysis in two-dimensional medium", Eng. Struct., 22, 258-271. https://doi.org/10.1016/S0141-0296(98)00070-4
- Zheng, Y.Q., He, J.Q. and Liu, Q.H. (2001), "The application of the perfectly matched layer in numerical modeling of wave propagation in poroelastic media", Geophysics, 66(4), 1258-1266. https://doi.org/10.1190/1.1487073
- Zheng, Y. and Huang, X. (2002), "Anisotropic perfectly matched layers for elastic waves in Cartesian and curvilinear coordinates", Earth Resources Laboratory 2002 Industry Consortium Meeting, Dept. of Earth, Atmospheric, and Planetary sciences, Massachusetts Institute of Technology, Cambridge, MA, USA,.
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