References
- Asvadurov, S., Druskin, V., Guddati, M.N. and Knizhnerman, L. (2003), "On optimal finite-difference approximation of PML", Siam J. Numer. Anal., 41(1), 287-305. https://doi.org/10.1137/S0036142901391451
- Berenger, J.P. (1994), "A perfectly matched layer for the absorption of electromagnetic-waves", J. Comput. Phys., 114(2), 185-200. https://doi.org/10.1006/jcph.1994.1159
- Bielak, J., Loukakis, K., Hisada, Y. and Yoshimura, C. (2003), "Domain reduction method for three-dimensional earthquake modeling in localized regions, part I: theory", B. Seismol. Soc. Am., 93(2), 817-824. https://doi.org/10.1785/0120010251
- Chew, W.C. and Weedon, W.H. (1994), "A 3d perfectly matched medium from modified maxwells equations with stretched coordinates", Microw. Opt. Techn. Let., 7(13), 599-604. https://doi.org/10.1002/mop.4650071304
- Chew, W.C., Jin, J.M. and Michielssen, E. (1997), "Complex coordinate stretching as a generalized absorbing boundary condition", Microw. Opt. Techn. Let., 15(6), 363-369. https://doi.org/10.1002/(SICI)1098-2760(19970820)15:6<363::AID-MOP8>3.0.CO;2-C
- Engquist, B. and Majda, A. (1977), "Absorbing boundary-conditions for numerical-simulation of waves", Math. Comput., 31(139), 629-651. https://doi.org/10.1090/S0025-5718-1977-0436612-4
- Engquist, B. and Majda, A. (1979), "Radiation boundary-conditions for acoustic and elastic wave calculations", Commun. Pur. Appl. Math., 32(3), 313-357. https://doi.org/10.1002/cpa.3160320303
- Givoli, D. (2004), "High-order local non-reflecting boundary conditions: a review", Wave Motion, 39(4), 319-326. https://doi.org/10.1016/j.wavemoti.2003.12.004
- Guddati, M.N. (2006), "Arbitrarily wide-angle wave equations for complex media", Comput. Method. Appl. M., 195(1-3), 65-93. https://doi.org/10.1016/j.cma.2005.01.006
- Guddati, M.N. and Lim, K.W. (2006), "Continued fraction absorbing boundary conditions for convex polygonal domains", Int. J. Numer. Meth. Eng., 66(6), 949-977. https://doi.org/10.1002/nme.1574
- Guddati, M.N., Lim, K.W. and Zahid, M.A. (2008), "Perfectly matched discrete layers for unbounded domain modeling", Comput. Meth. Acoust. Probl., doi: 10.4203, 69-98.
- Higdon, R.L. (1986), "Absorbing boundary-conditions for difference approximations to the multidimensional wave- equation", Math. Comput., 47(176), 437-459. https://doi.org/10.1090/S0025-5718-1986-0856696-4
- Higdon, R.L. (1987), "Numerical absorbing boundary-conditions for the wave-equation", Math. Comput., 49(179), 65-90. https://doi.org/10.1090/S0025-5718-1987-0890254-1
- Higdon, R.L. (1990), "Radiation boundary-conditions for elastic wave-propagation", Siam J. Numer. Anal., 27(4), 831-869. https://doi.org/10.1137/0727049
- Kausel, E. and Tassoulas, J.L. (1981), "Transmitting boundaries - a closed-form comparison", B. Seismol. Soc. Am., 71(1), 143-159.
- Kausel, E., Whitman, R.V., Morray, J.P. and Elsabee, F. (1978), "The spring method for embedded foundations", Nucl. Eng. Des., 48(2-3), 377-392. https://doi.org/10.1016/0029-5493(78)90085-7
- Lindman, E.L. (1975), "Free-space boundary-conditions for time-dependent wave-equation", J. Comput. Phys., 18(1), 66-78. https://doi.org/10.1016/0021-9991(75)90102-3
- Lysmer, J. and Waas, G. (1974), "Shear-waves in plane infinite structures", J. Eng. Mech.-ASCE, 98(1), 85-105.
- M., Nuray A. (1993), "Consistent formulation of direct and substructure methods in nonlinear soil-structure interaction", Soil Dyn. Earthq. Eng., 12(7), 403-410. https://doi.org/10.1016/0267-7261(93)90003-A
- Savadatti, S. and Guddati, M.N. (2010a), "Absorbing boundary conditions for scalar waves in anisotropic media. Part 1: Time harmonic modeling", J. Comput. Phys., 229(19), 6696-6714. https://doi.org/10.1016/j.jcp.2010.05.018
- Savadatti, S. and Guddati, M.N. (2010b), "Absorbing boundary conditions for scalar waves in anisotropic media. Part 2: Time-dependent modeling", J. Comput. Phys., 229(18), 6644-6662. https://doi.org/10.1016/j.jcp.2010.05.017
- Savadatti, S. and Guddati, M.N. (2011a), "Accurate absorbing boundary conditions for anisotropic elastic media. Part 1: Elliptic anisotropy", J. Comput. Phys., (under review).
- Savadatti, S. and Guddati, M.N. (2011b), "Accurate absorbing boundary conditions for anisotropic elastic media. Part 2: Untilted non-elliptic anisotropy", J. Comput. Phys., (under review).
- Trifunac, M.D. (1971), "Surface motion of a semi-cylindrical alluvial valley for incident plane Sh waves", B. Seismol. Soc. Am., 61(6), 1755-1770.
- Yoshimura, C., Bielak, J., Hisada, Y. and Fernandez, A. (2003), "Domain reduction method for three-dimensional earthquake modeling in localized regions, part II: Verification and applications", B. Seismol. Soc. Am., 93(2), 825-840. https://doi.org/10.1785/0120010252
- Zahid, M.A. and Guddati, M.N. (2006), "Padded continued fraction absorbing boundary conditions for dispersive waves", Comput. Method. Appl. M., 195(29-32), 3797-3819. https://doi.org/10.1016/j.cma.2005.01.023
Cited by
- Nonlinear analysis of soil–structure interaction using perfectly matched discrete layers vol.142, 2014, https://doi.org/10.1016/j.compstruc.2014.06.002
- Perfectly matched discrete layers for three-dimensional nonlinear soil–structure interaction analysis vol.165, 2016, https://doi.org/10.1016/j.compstruc.2015.12.004
- Perfectly Matched Discrete Layers with Analytical Wavelengths for Soil–Structure Interaction Analysis 2018, https://doi.org/10.1142/S0219455418501031
- Practical Numerical Model for Nonlinear Analyses of Wave Propagation and Soil-Structure Interaction in Infinite Poroelastic Media vol.22, pp.7, 2018, https://doi.org/10.5000/EESK.2018.22.7.379
- Smoothed response spectra including soil-structure interaction effects vol.19, pp.1, 2012, https://doi.org/10.1007/s11803-020-0546-1
- Structure-soil-structure interaction in a group of buildings using 3D nonlinear analyses vol.18, pp.6, 2012, https://doi.org/10.12989/eas.2020.18.6.667