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.
- Subject classification: AMS 34.B.25, 45.C.05
ASJC Scopus subject areas
- Computer Graphics and Computer-Aided Design
- Computational Mathematics
- Applied Mathematics