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Orthogonal Systems of Singular Functions and Numerical Treatment of Problems with Degeneration of Data

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Abstract

The orthogonal systems of singular functions are considered. They are applied to the error analysis of the p-version of the finite element method for elliptic problems with degeneration of data and strong singularity of solution.

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  1. Computational Center, Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000, Russia

    Alexei Bespalov

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  1. Alexei Bespalov
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Bespalov, A. Orthogonal Systems of Singular Functions and Numerical Treatment of Problems with Degeneration of Data. Advances in Computational Mathematics 19, 159–182 (2003). https://doi.org/10.1023/A:1022862704316

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