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Mathematical modeling of physical processes in mediums with thin layers

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Abstract

We propose an approach based on the application of docking quadrangular elements. The method allows one to perform calculations for fields of various physical nature in regions containing thin layers. Bibliography: 5 titles.

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References

  1. I. V. Sergienko, V. V. Skopetskii, and V. S. Deineka,Mathematical Modeling and Investigation of Processes in Inhomogeneous Regions [in Russian], Naukova Dumka, Kiev (1991).

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  2. S. G. Mikhlin,Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).

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  3. O. Zenkevich,Finite Element Method in Technology, [in Russian], Mir, Moscow (1975).

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  4. I. N. Molchanov,Computer Methods for Solution of Applied Problems. Differential Equations [in Russian], Naukova Dumka, Kiev (1988).

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  5. I. V. Sergienko, V. V. Skopetskii, V. S. Deineka, and others,A system for automatic computing of fields and construction optimization [in Russian], Preprint, Academy of Sciences of Ukraine 92-26, V. M. Glushkov Institute of Cybernetics, Kiev (1992).

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Authors
  1. V. V. Skopetskii
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Additional information

Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 117–123.

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Skopetskii, V.V. Mathematical modeling of physical processes in mediums with thin layers. J Math Sci 102, 3825–3831 (2000). https://doi.org/10.1007/BF02680240

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  • DOI: https://doi.org/10.1007/BF02680240

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