High-order schemes for acoustic waveform simulation

Applied Numerical Mathematics

Volumn 57, Issue 4, 2007, Pages 402-414

  Kim, Seongjai ^a   Lim, Hyeona ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Acoustic wave; High order method; Locally one dimensional (LOD) method; Nonphysical dispersion

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; PROBLEM SOLVING; WAVE EQUATIONS; WAVEFORM ANALYSIS;

HIGH-ORDER METHOD; LOCALLY ONE-DIMENSIONAL (LOD) METHOD; NONPHYSICAL DISPERSION; SPLITTING ERROR;

ACOUSTIC WAVES;

EID: 33847255524     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2006.05.003     Document Type: Article

References (14)

1. Ames W., and Lee D. Current development in the numerical treatment of ocean acoustic propagation. Appl. Numer. Math. 3 (1987) 25-47
2. Candel S. A review of numerical methods in acoustic wave propagation. In: Krothapalli A., and Smith C.A. (Eds). Recent Advances in Aeroacoustics (1986), Springer, New York 339-410
3. Clayton R., and Engquist B. Absorbing boundary conditions for acoustic and elastic wave calculations. Bull. Seismol. Soc. Amer. 67 (1977) 1529-1540
4. Cohen G., and Joly P. Fourth order schemes for the heterogeneous acoustics equation. Comput. Methods Appl. Mech. Engrg. 80 (1990) 397-407
5. Cohen G., Joly P., and Tordjman N. Construction and analysis of higher order finite elements with mass lumping for the wave equation. In: Kleinman R., Angell T., Colton D., Santosa F., and Stakgold I. (Eds). Second International Conference on Mathematical and Numerical Aspects of Wave Propagation (1993), SIAM, Philadelphia, PA 152-160
6. 2) = frac(∂ u, ∂ t) by implicit methods. J. Soc. Indust. Appl. Math. 3 (1955) 42-65
7. Douglas Jr. J., and Kim S. Improved accuracy for locally one-dimensional methods for parabolic equations. Math. Models Methods Appl. Sci. 11 (2001) 1563-1579
8. Douglas Jr. J., and Peaceman D. Numerical solution of two-dimensional heat flow problems. Amer. Instit. Chem. Engrg. J. 1 (1955) 505-512
9. Johnson C. Numerical Solutions of Partial Differential Equations by the Finite Element Method (1987), Cambridge University Press, New York
10. Konyukh G., Krivtsov Y., and Mikhailenko B. Numerical-analytical algorithm of seismic wave propagation in inhomogeneous media. Appl. Math. Lett. 11 (1998) 99-104
11. Lim H., Kim S., and Douglas Jr. J. Numerical methods for viscous and nonviscous wave equations. Appl. Numer. Math. 57 2 (2007) 194-212
12. Peaceman D., and Rachford H. The numerical solution of parabolic and elliptic differential equations. J. Soc. Indust. Appl. Math. 3 (1955) 28-41
13. Sei A., and Symes W. Dispersion analysis of numerical wave propagation and its computational consequences. J. Sci. Comput. 10 (1995) 1-27
14. Shubin G., and Bell J. A modified equation approach to construction fourth order methods for acoustic wave equations. SIAM J. Sci. Statist. Comput. 8 (1987) 135-151