Rate of convergence estimates for the spectral approximation of a generalized eigenvalue problem
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.
Univ Chile, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Santiago, Chile. Pontificia Univ Catolica Chile, Fac Matemat, Santiago 22, Chile. Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France. Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Conca, C, Univ Chile, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Casilla 170-3 Correo 3, Santiago, Chile.
ISI Document Delivery No.: ZR312
Times Cited: 0
Cited Reference Count: 19
Record created on 2006-08-24, modified on 2016-08-08