Absorbing boundary conditions for wave propagation in viscoelastic media

Journal of Computational and Applied Mathematics

Volumn 76, Issue 1-2, 1996, Pages 301-314

  Kim, Dongryeol ^a   Kim, Jinsoo ^a   Sheen, Dongwoo ^a  

^a Seoul National University   (South Korea)

Author keywords

Absorbing boundary conditions; Numerical methods; Viscoelastic waves

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ERROR ANALYSIS; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; PROBLEM SOLVING; VISCOELASTICITY;

ABSORBING BOUNDARY CONDITIONS; ELLIPTIC PROBLEMS; ERROR ESTIMATES; FOURIER INVERTIBILITY; SPACE FREQUENCY DOMAIN FORMULATION; VISCOELASTIC WAVES;

WAVE TRANSMISSION;

BOUNDARY CONDITIONS; VISCOELASTICITY; WAVE PROPAGATION;

EID: 0030497667     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00115-X     Document Type: Article

References (17)

1. R.A. Adams, Sobolev Spaces, (Academic press, London, 1975).
2. B.J. Brennan and D.E. Smylie, Linear viscoelasticity and dispersion in seismic wave propagation, Rev. Geophys. Space Phys. 19 (1981) 233-246.
3. J.M. Carcione, D. Kosloff and R. Kosloff, Viscoelastic wave propagation simulation in the earth, Geophysics. 53 (1988) 769-777.
4. R.M. Christensen, Theory of Viscoelasticity: An Introduction (Academic press, New York, 1971).
5. R. Clayton and B. Engquist, Absorbing boundary conditions for acoustic and elastic wave equations, Bull. Seismol. Soc. Amer. 67 (1977) 1529-1540.
6. J. Douglas, Jr., J.E. Santos and D. Sheen, Approximation of scalar waves in the space-frequency domain, Math. Models Methods Appl. Sci. 4 (1994) 509-531.
7. J. Douglas, Jr., J.E. Santos, D. Sheen and L.S. Bennethum, Frequency domain treatment of one-dimensional scalar waves, Math. Models Methods Appl. Sci. 3 (1993) 171-194.
8. B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comput. 31 (1977) 629-651.
9. B. Engquist and A. Majda, Radiation boundary conditions for acoustic and elastic wave calculations, Comm. Pure Appl. Math. 32 (1979) 313-357.
10. W. Flügge, Viscoelasticity (Springer, New York, 1975).
11. J.M. Golden and G.A.C. Graham, Boundary Value Problems in Linear Viscoelasticity (Springer, New York, 1988).
12. R.L. Higdon, Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation, Math. Comput. 47 (1986) 437-459.
13. R.L. Higdon, Radiation boundary conditions for elastic wave propagation, SIAM J. Numer. Anal. 27 (1990) 831-870.
14. H.P. Liu, D.L. Anderson and H. Kanamori, Velocity dispersion due to anelasticity; implications for seismology and mental composition, Geophys. J. Roy. Astron. Soc. 47 (1976) 41-58.
15. R.C. MacCamy, Absorbing boundaries for viscoelasticity, in: Viscoelasticity and Rheology (Academic Press, New York. 1986) 323-344.
16. H. Tal-Ezer, J.M. Carcione and D. Kosloff, An accurate and efficient scheme for wave propagation in linear viscoclastic media, Geophysics. 55 (1990) 1366-1379.
17. N.W. Tscholegl, The Phenomenological Theory of Linear Viscoclastic Behavior (Springer, New York, 1989).