Interface error analysis for numerical wave propagation

Computational Geosciences

Volumn 13, Issue 3, 2009, Pages 363-371

  Symes, William W ^a   Vdovina, Tetyana ^a  

^a Rice University   (United States)

Author keywords

Computational methods; Finite difference methods; Seismology; Wave equation

Indexed keywords

COMPUTATIONAL GRIDS; DISCONTINUOUS MEDIA; FINITE DIFFERENCE; FINITE-DIFFERENCE SCHEME; FIRST-ORDER; HIGHER DIMENSIONS; HIGHER ORDER; HIGHER-ORDER METHODS; MATERIAL INTERFACES; MISALIGNMENT ERRORS; NUMERICAL ERRORS; NUMERICAL EXPERIMENTS; NUMERICAL GRIDS; NUMERICAL SOLUTION; SECOND ORDERS; TIME AND SPACE; TIME SHIFTS; TWO-COMPONENT;

ACOUSTICS; ALIGNMENT; COMPUTATIONAL METHODS; DIFFERENCE EQUATIONS; ERROR ANALYSIS; EXPERIMENTS; SEISMOLOGY; WAVE EQUATIONS; WAVE PROPAGATION;

NUMERICAL METHODS;

ERROR ANALYSIS; ESTIMATION METHOD; FINITE DIFFERENCE METHOD; NUMERICAL METHOD; SEISMOLOGY; SIMULATION; WAVE EQUATION; WAVE PROPAGATION;

EID: 70449528783     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-008-9124-8     Document Type: Article

References (12)

1. Bourbie, T., Coussy, O., Zinszner, B.: Acoustics of porous media. Institut francais du petrole publications, Gulf Publishing Company, Houston (1987). Translated from the French by Nissim Marshall
2. D. Brown 1984 A note on the numerical solution of the wave equation with piecewise smooth coefficients Math. Comput. 42 369 391 0558.65072 10.2307/2007591
3. Cohen, G.: Higher-Order Numerical Methods for Transient Wave Equations. Springer, New York (2002)
4. G. Cohen P. Joly 1996 Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media SIAM J. Numer. Anal. 33 1266 1302 0863.65048 10.1137/S0036142993246445 1403546
5. Dobrin, M., Savit, C.: Introduction to Geophysical Prospecting, 4th ed. McGraw-Hill, New York (1988)
6. B. Gustafsson E. Mossberg 2004 Time compact high order difference methods for wave propagation SIAM J. Sci. Comput. 26 259 271 1075.65112 10.1137/030602459 2114343
7. B. Gustafsson P. Wahlund 2004 Time compact difference methods for wave propagation in discontinuous media SIAM J. Sci. Comput. 26 272 293 1077.65092 10.1137/S1064827503425900 2114344
8. Kinkaid, D., Cheney, W.: Numerical Analysis, 2nd ed. Brooks/Cole, California (1996)
9. J. Virieux 1984 SH-wave propagation in heterogeneous media: velocity stress finite-difference method Geophysics 49 1933 1957 10.1190/1.1441605
10. J. Virieux 1986 P-SV wave propagation in heterogeneous media: velocity stress finite-difference method Geophysics 51 889 901 10.1190/1.1442147
11. A. Walden J. Hosken 1986 The nature of the non-Gaussianity of primary reflection coefficients and its significance for deconvolution Geophys. Prospect. 34 1038 1066 10.1111/j.1365-2478.1986.tb00512.x
12. C. Zhang R.J. LeVeque 1997 The immersed interface method for acoustic wave equations with discontinuous coefficients Wave Motion 25 237 263 0915.76084 10.1016/S0165-2125(97)00046-2 1453878