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A General method for the construction of difference analogs of a biharmonic operator on irregular nets

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Abstract

We propose a general method for the construction of difference analogs of a biharmonic operator on irregular nets. We show that this method guarantees preserving the invariance of the initial differential operator under linear transformations of a Cartesian coordinate system. Hence follows the uniqueness of the invariant difference analog for a given complex of nodes. We obtain the numerical value of the difference analog of the biharmonic operator for a fifth-order near-boundary complex with a curvilinear boundary.

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Authors and Affiliations

  1. “L’vivs’ka Politekhnika” State University, L’viv

    R. V. Fil’ts & M. V. Kotsyuba

Authors
  1. R. V. Fil’ts
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  2. M. V. Kotsyuba
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Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 36, No. 2, pp. 60–64, March-April, 2000.

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Fil’ts, R.V., Kotsyuba, M.V. A General method for the construction of difference analogs of a biharmonic operator on irregular nets. Mater Sci 36, 224–229 (2000). https://doi.org/10.1007/BF02767543

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  • DOI: https://doi.org/10.1007/BF02767543

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