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 .
Similar content being viewed by others
REFERENCES
V. G. Prikazchikov and N. V. Maiko, “Accuracy of a discrete analog of a spectral problem with mixed boundary conditions for an operator of linear elasticity theory,” Visn. Kyiv. Univ., 4, 188-197 (1998).
V. G. Prikazchikov and N. V. Maiko, “Eigenfunction error estimate in an eigenvalue problem for a linear elasticity theory operator,” Zh. Obch. Prykl. Mat., 1, 100-109 (1997).
S. G. Mikhlin, The Problem of Minimum of Quadratic Functional [in Russian], GITTL, Moscow(1953).
A. A. Samarskii and V. B. Andreev, Difference Methods for Elliptic Equations [in Russian], Nauka, Moscow(1976).
A. A. Samarskii, R. D. Lazarov, and V. L. Makarov, Difference Schemes for Differential Equations with Generalized Solutions [in Russian], Vyssh. Shk., Moscow (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1023/A:1025721829952