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Completely conservative difference schemes for dynamic problems of linear elasticity and viscoelasticity

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Abstract

On the basis of a mixed statement (velocity-strain), we complete the development of a general theory of completely conservative adjoint-coordinated difference schemes for dynamic problems of linear elasticity and viscoelasticity. In particular, our explicitly solvable discrete models permit controlling the total energy imbalance and have the same parallelization degree as the conventional explicit schemes.

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Authors and Affiliations

  1. Institute for Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    A. N. Konovalov

  2. Novosibirsk State University, Novosibirsk, Russia

    A. N. Konovalov

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  1. A. N. Konovalov
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Original Russian Text © A.N. Konovalov, 2013, published in Differentsial’nye Uravneniya, 2013, Vol. 49, No. 7, pp. 885–896.

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Konovalov, A.N. Completely conservative difference schemes for dynamic problems of linear elasticity and viscoelasticity. Diff Equat 49, 857–868 (2013). https://doi.org/10.1134/S0012266113070082

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