Rate of convergence estimates for the spectral approximation of a generalized eigenvalue problem
Author
dc.contributor.author
Conca Rosende, Carlos
Author
dc.contributor.author
Durán, Mario
es_CL
Author
dc.contributor.author
Rappaz, Jacques
es_CL
Admission date
dc.date.accessioned
2013-12-30T18:37:59Z
Available date
dc.date.available
2013-12-30T18:37:59Z
Publication date
dc.date.issued
1998
Cita de ítem
dc.identifier.citation
Numer. Math. (1998) 79: 349–369
en_US
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/125911
Abstract
dc.description.abstract
The aim of this work is to derive rate of convergence estimates
for the spectral approximation of a mathematical model which describes the
vibrations of a solid-fluid type structure. First, we summarize the main theoretical
results and the discretization of this variational eigenvalue problem.
Then, we state some well known abstract theorems on spectral approximation
and apply them to our specific problem, which allow us to obtain the
desired spectral convergence. By using classical regularity results, we are
able to establish estimates for the rate of convergence of the approximated
eigenvalues and for the gap between generalized eigenspaces.