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Studies about Solution Convergence of the Spline Version of the Finite Element Method in Two-Dimensional and Three-Dimensional Formulations

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Abstract

The issues of sampling, convergence and reliability of the calculation results, while the shells are in the stress-strain state, by the traditional finite element method (FEM) are considered. The advantage of the spline version of the FEM (SV FEM) in comparison with the traditional FEM is noted. The convergence of the spline version of the FEM in the two-dimensional SV FEM-2 and three-dimensional SV FEM-3 formulations is studied. The convergence of the SV FEM under coarse meshes is shown.

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Authors and Affiliations

  1. Institute of Mechanics and Engineering, Federal Research Center Kazan Scientific Center, Russian Academy of Sciences, 420111, Kazan, Russia

    N. M. Yakupov, H. G. Kiyamov & I. Z. Mukhamedova

  2. Kazan State University of Architecture and Engineering, 420043, Kazan, Russia

    I. Z. Mukhamedova

Authors
  1. N. M. Yakupov
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  2. H. G. Kiyamov
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  3. I. Z. Mukhamedova
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Correspondence to N. M. Yakupov, H. G. Kiyamov or I. Z. Mukhamedova.

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(Submitted by D. A. Gubaidullin)

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Yakupov, N.M., Kiyamov, H.G. & Mukhamedova, I.Z. Studies about Solution Convergence of the Spline Version of the Finite Element Method in Two-Dimensional and Three-Dimensional Formulations. Lobachevskii J Math 43, 1218–1223 (2022). https://doi.org/10.1134/S1995080222080364

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  • DOI: https://doi.org/10.1134/S1995080222080364

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