论文信息 - Higher-Order Splitting Method for Elastic Wave Propagation

Higher-Order Splitting Method for Elastic Wave Propagation

Motivated by seismological problems, we have studied a fourth-order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the new scheme and obtained results showing consistency and stability. We have used the split scheme to solve problems in two and three dimensions. We have also looked at the influence of singular forcing terms on the convergence properties of the scheme.

Jürgen Geiser | J. Geiser

[1] B. Engquist,et al. Numerical approximations of singular source terms in differential equations , 2004 .

[2] Johan Walden,et al. On the approximation of singular source terms in differential equations , 1999 .

[3] Graeme Fairweather,et al. A High Accuracy Alternating Direction Method for the Wave Equation , 1965 .

[4] Ian Naismith Sneddon,et al. The generation of waves in an infinite elastic solid by variable body forces , 1956, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[5] M. Lees,et al. Alternating Direction Methods for Hyperbolic Differential Equations , 1962 .

[6] L. Fox,et al. JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS , 1977 .

[7] HighWire Press. Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[8] Seongjai Kim,et al. High-order schemes for acoustic waveform simulation , 2007 .

[9] G. Cohen,et al. Higher-Order Numerical Methods for Transient Wave Equations , 2001 .

[10] Gary Cohen. Higher-Order Numerical Methods for Transient Wave Equations , 2001 .

[11] A. Rotenberg,et al. Seismic waves in a quarter plane , 1969 .

[12] C. Kelley. Iterative Methods for Linear and Nonlinear Equations , 1987 .

[13] R. F. Warming,et al. Alternating Direction Implicit Methods for Parabolic Equations with a Mixed Derivative , 1980 .

[14] Chia-Ven Pao,et al. Nonlinear parabolic and elliptic equations , 1993 .