Geodesic
Application of quasi-equidistant grids method at the solution of dynamic problems of the theory of elasticity in unlimited domains
Matematičeskoe modelirovanie, Tome 19 (2007) no. 5, pp. 81-92 Cet article a éte moissonné depuis la source Math-Net.Ru

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A numerical solution algorithm of dynamic problems of the theory of elasticity using the combination of uniform and quasi-equidistant grids is considered. Lax's smoothing is applied for suppression spurious perturbation caused by grid irregularity. Effectiveness of the algorithm has been shown by the example of solution one and two-dimensional problems when a nonuniform grid with a small number of nodes is used actually for modeling a nonreflecting boundary condition. 
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A. V. Kochetkov; E. Yu. Poverennov. Application of quasi-equidistant grids method at the solution of dynamic problems of the theory of elasticity in unlimited domains. Matematičeskoe modelirovanie, Tome 19 (2007) no. 5, pp. 81-92. http://geodesic.mathdoc.fr/item/MM_2007_19_5_a6/

[1] M. A. Ilgamov, A. N. Gilmanov, Neotrazhayuschie usloviya na granitsakh raschetnoi oblasti, Fizmatlit, M., 2003 | MR

[2] A. B. Alshin, E. A. Alshina, N. N. Kalitkin, “Chislennoe reshenie giperbolicheskikh zadach v neogranichennoi oblasti”, Matem. modelirovanie, 16:4 (2004), 114–126 | MR | Zbl

[3] V. S. Nikiforovskii, E. I. Shemyakin, Dinamicheskoe razrushenie tverdykh tel, Nauka, Novosibirsk, 1979