Extrapolation non-reflecting boundary conditions

Wave Motion

Volumn 24, Issue 2, 1996, Pages 117-138

  Liao, Zhen Peng ^a  

^a Institute of Engineering Mechanics   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001028086     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-2125(96)00010-8     Document Type: Article

References (35)

1. D. Givoli, "Review article: Non-reflecting boundary conditions", J. Comput. Phys. 94, 1-29 (1991).
2. J.P. Wolf, "Survey and classification of computational approaches in soil-structure interaction: Comparison of time- and frequency-domain analyses", Proc. NATO Advanced Study Institute (Kemer Antalya, Turkey, July 1992) 1-23.
3. E. Kausel, "Local transmittiiig boundaries", J. Eng. Mech. Div. ASCE 114, 1011-1027 (1988).
4. J.P. Wolf, "A comparison of time-domain transmitting boundaries", Earthq. Eng. Struct. Dyn. 14, 655-673 (1986).
5. R. Clayton and B. Engquist, "Absorbing boundary conditions for acoustic and elastic wave equations", Bull. Seismol. Soc. Amer. 76, 1529-1540 (1977).
6. R. Clayton and B. Engquist, "Absorbing boundary conditions for wave-equation migration", Geophysics 45, 895-904 (1980).
7. B. Engquist and A. Majda, "Absorbing boundary conditions for the numerical simulation of waves", Math. Comput. 31, 629-652 (1979).
8. B. Engquist and A. Majda, "Radiation boundary conditions for acoustic and elastic calculations", Comm. Pure Appl. Math. 32, 313-336 (1979).
9. L. Halpern and L.N. Trefethen, "Wide-angle one-way wave equations", J. Acoust. Soc. Amer. 84, 1397-1404 (1988).
10. Z.P. Laio, B.P. Yang and Y.F. Yuan, "Application of transmitting boundaries for transient wave analysis", Research Report, Institute of Engineering Mechanics, Academia Sinica, Harbin, China (1978).
11. Z.P. Liao, "A finite model for problems of transient scalar waves in an infinite domain"(in Chinese), Earthq. Eng. Eng. Vib. 2(1) 38-53 (1982).
12. Z.P. Liao, H.L. Wong, B.P. Yang and Y.F. Yuan, "A transmitting boundary for transient wave analyses", Scientia Sinica (Series A) 27, 1063-1076 (1984).
13. Z.P. Liao and H.L. Wong, "A transmitting, boundary for the numerical simulation of elastic wave propagation", Soil Dyn. Earthq. Eng. 3, 174-183 (1984).
14. Z.P. Liao and X.J. Li, "A generalized multi-transmitting formula: Scalar wave case"(in Chinese), Acta Mech. Sinica 27(1) 69-78 (1995).
15. R.L. Higdon, "Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation", Math. Comput. 47, 437-459 (1986).
16. R.L. Higdon, "Numerical absorbing boundary conditions for the wave equation", Math. Comput. 49, 65-90 (1987).
17. R.L. Higdon,"Absorbing boundary conditions for elastic waves", Geophysics 56(2), 231-241 (1991).
18. R.L. Higdon,"Absorbing boundary conditions for acoustic and elastic waves in stratified media", J. Comput. Phys. 101, 386-418 (1992).
19. Lu Ting and M.J. Miksis, "Exact boundary conditions for scattering problems", J. Acoust. Soc. Amer. 80, 1825-1827 (1986).
20. Z.P. Liao,"A finite element method for near-field problems of wave motions in heterogeneous materials", (in Chinese) Eqrth. Eng. Eng. Vib. 4(2), 1-14 (1984).
21. Y. Yuan, B. Yang and S. Huang,"Damage distribution and estimation of ground motion in Shidian (China) basin", Proc. Int. Symp. on the Effects of Surface Geology on Seismic Motion (Odawara, Japan, 1992) 281-286.
22. Z.P. Liao, Seismic Microzonation (in Chinese), Seismological Press, Beijing, China (1990).
23. B.P. Yang and Q.B. Chen, "Application of explicit FEM to earthquake engineering "(in Chinese), World Inform. on Earthq. Eng. 4, 31-40 (1992)
24. Z.P. Liao and G. Yang, "Finite element simulation of steady-state SH wave motion", Acta Seismologica Sinica 7(1) 127-139 (1994).
25. Z. Lan and X. Shao,"Absorbing boundary conditions for wave motion in anisotropic elastic media"(in Chinese), Submitted to Acta Geophysica Sinica (1995).
26. X. Shao and Z. Lan, "Numerical simulation of wave motion in heterogeneous elastic media", Acta Geophysica Sinica, submitted.
27. Z.P. Liao, An Introduction to Wave Motion Theories in Engineering (in Chinese), Science Press, Beijing, China (1996).
28. N. Cheng and C.H. Cheng, "Relationship between Liao and Clayton-Engquist absorbing boundary conditions: Acoustic case", Bull. Seisml. Soc. Amer. 85, 954-956(1995).
29. Z.P. Liao, P.B. Yang and S.Q. Liu, "Multiple transmitting boundary" (in Chinese), Technical Report No. 80-098, Institute of Engineering Mechanics, Academia Sinica, Harbin, China (1980).
30. A.C. Reynolds, "Boundary conditions for the numerical solution of wave propagation problems", Geophysics 43, 1099-1110 (1978).
31. R.G. Keys, "Absorbing boundary conditions for acoustic media", Geophysics 50, 892-902 (1985).
32. Z.P. Liao, "Normal transmitting boundary conditions", Scientia Sinica (Series E) 39 (3), 244-254 (1996).
33. Z.P. Liao and J.B. Liu, "Numerical instabilities of a local transmitting boundary", Earthq. Eng. Struct. Dyn. 21, 65-77 (1992).
34. A.H. Kamel, "A stability checking procedure for finite-difference schemes with boundary conditions in acoustic media", Bull. Seismol. Soc. Amer. 79(5), 1601-1606 (1989).
35. Z.P. Liao and G. Yang, "Multi-directional transmitting boundaries for steady-state SH waves", Earthq. Eng. Struct. Dyn. 24, 361-371 (1995).