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On some representations of solutions of dynamical problems in elasticity theory

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Abstract

The divergence and rotation of a translation vector field, which are solutions of wave equations, are used as auxiliary potentials for numerical solution of dynamical problems in elasticity theory. In a particular case, the problems of longitudinal translation are tested in two variants of numerical algorithms with their programming realization, some suggestions are given regarding the choice of the optimal algorithm for achieving highly precise calculations with a small number of discretization points.

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Literature cited

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Authors and Affiliations

  1. Simferopol' University, USSR

    A. A. Bolgov & V. N. Tishchenko

Authors
  1. A. A. Bolgov
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  2. V. N. Tishchenko
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Additional information

Translated from Dinamicheskie Sistemy, No. 9, pp. 27–33, 1990.

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Bolgov, A.A., Tishchenko, V.N. On some representations of solutions of dynamical problems in elasticity theory. J Math Sci 70, 1970–1973 (1994). https://doi.org/10.1007/BF02110822

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  • DOI: https://doi.org/10.1007/BF02110822

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