Naslov
A posteriori estimates for eigenvalue/vector approximations

Autori
Grubišić, Luka

Izvornik
PAMM : Proceedings in applied mathematics and mechanics (1617-7061) 6 (2006), 1; 59-62

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Variational Methods ; Finite Element Methods ; Spectral Problem

Sažetak
We combine abstract eigenvalue/eigenvector estimates (from our earlier work) with a saturation assumption for finite element solution of associated stationary problem to obtain a posteriori estimates of the accuracy of finite element Rayleigh-Ritz approximations. Attention will be payed to the interplay between the accuracy estimate for the finite element method and a strategy for generating an adapted mesh. The obtained results use a preconditioned residuum of Neymeyr and extend his study of eigenvalue approximations with eigenvector estimates. We also prove that this eigenvalue estimator is equivalent to the global error.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Podlistak CC časopisa ZAMM (ISNN: 0044-2267)

POVEZANOST RADA