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A finite element method scheme for boundary value problems with noncoordinated degeneration of input data

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Abstract

A finite element method scheme is constructed for boundary value problems with noncoordinated degeneration of input data and singularity of a solution. We look at a rate with which an approximate solution by the proposed finite element method converges toward an exact R ν -generalized solution in the weight set W 2+1/12,ν*+β (Ω, δ), and establish estimates for the finite element approximation.

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Authors and Affiliations

  1. Computer Center, Far Eastern Branch, Russian Academy of Sciences, ul. Kim-Yu-Chen 65, Khabarovsk, 680000, Russia

    V. A. Rukavishnikov

  2. Far Eastern State Transport University, ul. Serusheva 47, Khabarovsk, 680021, Russia

    E. V. Kuznetsova

Authors
  1. V. A. Rukavishnikov
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  2. E. V. Kuznetsova
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Correspondence to V. A. Rukavishnikov.

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Original Russian Text © V.A. Rukavishnikov, E.V. Kuznetsova, 2009, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2009, Vol. 12, No. 3, pp. 313–324.

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Rukavishnikov, V.A., Kuznetsova, E.V. A finite element method scheme for boundary value problems with noncoordinated degeneration of input data. Numer. Analys. Appl. 2, 250–259 (2009). https://doi.org/10.1134/S1995423909030069

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  • DOI: https://doi.org/10.1134/S1995423909030069

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