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Rate of convergence bound in the W 12 norm of the projection-difference scheme for the first boundary-value problem of elasticity theory in the anisotropic case

  • Numerical Methods, Investigation and Solution of Equations
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Abstract

Exact difference scheme operators are applied to construct a projection-difference scheme for the system of equilibrium equations of a nonhomogeneous anisotropic elastic solid rigidly clamped in the rectangular region Ω. The scheme has O(h2) convergence in the W 12 (Ω) norm if the solution\(\overline u \)(x) is contained in the Sobolev space W 32 (Ω).

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References

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Authors
  1. S. A. Voitsekhovskii
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  2. V. M. Kalinin
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Additional information

Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 68, pp. 27–34, 1989.

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Voitsekhovskii, S.A., Kalinin, V.M. Rate of convergence bound in the W 12 norm of the projection-difference scheme for the first boundary-value problem of elasticity theory in the anisotropic case. J Math Sci 69, 1389–1394 (1994). https://doi.org/10.1007/BF01250581

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  • DOI: https://doi.org/10.1007/BF01250581

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