Approximation of the eigenvalues of a fourth order differential equation with non-smooth coefficients |
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Authors: | Uday Banerjee |
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Institution: | (1) Department of Mathematics, Syracuse University, 13244 Syracuse, NY, USA |
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Abstract: | The eigenvalues of a fourth order, generalized eigenvalue problem in one dimension, with non-smooth coefficients are approximated by a finite element method, introduced in an earlier work by the author and A. Lutoborski, in the context of a similar source problem with non-smooth coefficients. Error estimates for the approximate eigenvalues and eigenvectors are obtained, showing a better performance of this method, when applied to eigenvalue approximation, compared to a standard finite element method with arbitrary mesh. |
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Keywords: | AMS 34 B 25 45 C 05 |
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