Hybrid perfectly-matched-layers for transient simulation of scalar elastic waves |
Pakravan, Alireza
(Department of Civil Engineering, New Mexico State University)
Kang, Jun Won (Department of Civil Engineering, Hongik University) Newtson, Craig M. (Department of Civil Engineering, New Mexico State University) Kallivokas, Loukas F. (Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin) |
1 | Basu, U. (2009), "Explicit finite element perfectly matched layer for transient three-dimensional elastic waves" Int. J. Numer. Method. Eng., 77, 151-176. DOI ScienceOn |
2 | Basu, U. and Chopra, A.K. (2004), "Perfectly matched layers for transient elastodynamics of unbounded domains" , Int. J. Numer. Method. Eng., 59, 1039-1074. DOI ScienceOn |
3 | Chew, W.C. and Weedon, W.H. (1994), "A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates" Microw. Opt. Tech. Lett., 7(13), 599-604. DOI ScienceOn |
4 | Berenger, J.P. (1994), "A perfectly matched layer for the absorption of electromagnetic waves" J. Comput. Phys., 114(2), 185-200. DOI ScienceOn |
5 | Brezzi, F. and Bathe, K.J. (1990) "A discourse on the stability conditions for mixed finite element formulations" Comput. Method. Appl. Mech. Eng., 82, 27-57. DOI |
6 | 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. DOI ScienceOn |
7 | Frasca, L.P., Hughes, T.J.R., Loula, A.F.D. and Miranda, I. (1988) "A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation" Numerische Mathematik, 53, 123-141. DOI |
8 | Hastings, F.D., Schneider, J.B. and Broschat, 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. DOI ScienceOn |
9 | Kang, J.W. and Kallivokas, L.F. (2010), "Mixed unsplit-field perfectly-matched-layers for transient simulations of scalar waves in heterogeneous domains" Comput. Geosci., 14, 623-648. DOI |
10 | Komatitsch, D. and Tromp, J (2003), "A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation" Geophys. J. Int., 154, 146-153. DOI |
11 | Madsen, S.S., Krenk, S. and Hededal, O. (2013), "Perfectly matched layer (PML) for transient wave propagation in a moving frame of reference" Proceedings of the 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2013), Kos Island, Greece, June. |
12 | Martin, R., Komatitsch, D., Gedney, S.D. and Bruthiaux, E. (2010) "A high-order time and space formulation of the unsplit perfectly matched layer for the seismic wave equation using auxiliary differential equations (ADE-PML)" Comput. Model. Eng. Sci., 56(1), 17-40. |
13 | Mahmoud, A. and Luo, Y (2009), "Application of a Perfectly Matched Layer Boundary Condition to Finite Element Modeling of Elastic Wave Scattering in Cracked Plates" Adv. Theor. Appl. Mech., 2(2), 75-92. |
14 | Martin, R., Komatitsch, D. and Gedney, S.D. (2008) "A variational formulation of a stabilized unsplit convolutional perfectly matched layer for the isotropic or anisotropic seismic wave equation" Comput. Model. Eng. Sci., 37(3), 274-304. |
15 | Matzen, R. (2011), "An efficient finite element time-domain formulation for the elastic second-order wave equation: A non-split complex frequency shifted convolutional PML" Int. J. Numer. Method. Eng., 88(10), 951-973. DOI |
16 | Xu, B.Q., Tsang, H.H. and Lo, S.H. (2013), "3-D convolutional perfectly matched layer models for dynamic soil-structure interaction analysis in the finite element time-domain" Proceedings of the 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2013), Kos Island, Greece, June. |
17 | Sagiyama, K., Govindjee, S. and Persson, P.O. (2013), "An Efficient Time-Domain Perfectly Matched Layers Formulation for Elastodynamics on Spherical Domains" Report No. UCB/SEMM-2013/09, University of California at Berkeley, Berkeley, California, USA. |
18 | Teixeira, F.L. and Chew, W.C. (2000), "Complex space approach to perfectly matched layers: a review and some new developments" Int. J. Numer. Model., 13, 441-455. DOI |
19 | Turkel, E. and Yefet, A. (1998) "Absorbing PML boundary layers for wave-like equations" Appl. Numer. Math., 27, 533-557. DOI |
20 | Becache, E., Joly, P. and Tsogka, C. (2002) "A new family of mixed finite elements for the linear elastodynamic problem" SIAM J. Numer. Anal., 39(6), 2109-2132. DOI |
21 | Drossaert, F.H. and Giannopoulos, A. (2007), "Complex frequency shifted convolution PML for FDTD modelling of elastic waves" Wave Motion, 44(7-8), 593-604. DOI |
22 | Mahmoud, A., Rattanawangcharoen, N., Luo, Y. and Wang, Q. (2010) "FE-PML modeling of 3D scattering of transient elastic waves in cracked plate with rectangular cross section" Int. J. Struct. Stab. Dyn., 10(5), 1123-1139. DOI |