Artículo de revista
Rate of convergence estimates for the spectral approximation of a generalized eigenvalue problem
Fecha
1998Autor
Conca Rosende, Carlos
Durán, Mario
Rappaz, Jacques
Institución
Resumen
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.