Geodesic
Absorbing boundary conditions for the elastic theory equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 3, pp. 261-269.

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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. 
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B. G. Mikhailenko; O. N. Soboleva. Absorbing boundary conditions for the elastic theory equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 3, pp. 261-269. http://geodesic.mathdoc.fr/item/SJVM_1998_1_3_a4/

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