Adaptive FEM for eigenvalue problems. (English) Zbl 1043.65122
Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 713-722 (2003).
Summary: This paper describes the application of the “dual weighted residual method” for a posteriori error estimation to the Galerkin finite element approximation of elliptic eigenvalue problems. This method employs concepts from optimal control theory to derive identities for the error in the eigenvalues and eigenfunctions in terms of primal and dual residuals.
For the entire collection see [Zbl 1013.00024].
For the entire collection see [Zbl 1013.00024].
MSC:
| 65N25 | Numerical methods for eigenvalue problems for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 35P15 | Estimates of eigenvalues in context of PDEs |
| 65N15 | Error bounds for boundary value problems involving PDEs |
