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Convergence of a Bakhvalov grid adaptation method for singularly perturbed boundary value problems

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Abstract

In this paper, a Galerkin finite element method for non-self-adjoint boundary value problems on Bakhvalov grids is considered. Using the Galerkin projectionmethod, the convergence of a sequence of computational grids with an unknown boundary of the boundary layer is proved. Some numerical examples are presented.

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Authors and Affiliations

  1. Volga State University of Telecommunications and Informatics, ul. L’va Tolstogo 23, Samara, 443010, Russia

    I. A. Blatov & E. V. Kitaeva

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  1. I. A. Blatov
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  2. E. V. Kitaeva
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Correspondence to I. A. Blatov.

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Original Russian Text © I.A. Blatov, E.V. Kitaeva, 2016, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2016, Vol. 19, No. 1, pp. 43–55.

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Blatov, I.A., Kitaeva, E.V. Convergence of a Bakhvalov grid adaptation method for singularly perturbed boundary value problems. Numer. Analys. Appl. 9, 34–44 (2016). https://doi.org/10.1134/S1995423916010043

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  • DOI: https://doi.org/10.1134/S1995423916010043

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