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Accuracy of Difference Approximation for an Eigenvalue Problem

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Abstract

Discrete approximation of an eigenvalue problem with mixed boundary conditions for the Lame system in a three-dimensional parallelepiped is considered. The O(h2)-eigenvalue error estimate provides respective eigenfunctions that belong to the Sobolev space W 32 .

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Prikazchikov, V.G., Maiko, N.V. Accuracy of Difference Approximation for an Eigenvalue Problem. Cybernetics and Systems Analysis 39, 450–458 (2003). https://doi.org/10.1023/A:1025721829952

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  • DOI: https://doi.org/10.1023/A:1025721829952

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