Absorbing boundary conditions for the elastic theory equations

B. G. Mikhailenko, O. N. Soboleva

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: High order absorbing conditions for the artificial boundary equations are studied in the paper. The system of equations with the boundary conditions is solved by a spectral-finite difference algorithm that is based on the finite cosine and sine Fourier transforms. For the obtained ordinary differential equations a numerical finite difference scheme is proposed. The efficiency of the method is illustrated on the numerical experiments.

UDC: 517.949

Received: 14.10.1997
Revised: 19.01.1998

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