EXTERNAL FINITE-ELEMENT APPROXIMATIONS OF EIGENVALUE PROBLEMS

Authors
VANMAELE M ZENISEK A
Citation
M. Vanmaele et A. Zenisek, EXTERNAL FINITE-ELEMENT APPROXIMATIONS OF EIGENVALUE PROBLEMS, Modelisation mathematique et analyse numerique, 27(5), 1993, pp. 565-589
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Modelisation mathematique et analyse numerique → ACNP
ISSN journal
0764583X
Volume
27
Issue
5
Year of publication
1993
Pages
565 - 589
Database
ISI
SICI code
0764-583X(1993)27:5<565:EFAOEP>2.0.ZU;2-9
Abstract
The paper is devoted to the finite element analysis of second order el liptic eigenvalue problems in the case when the approximate domains OM EGA(h) are not subdomains of the original domain OMEGA subset-of R2. T he considerations are restricted to piecewise linear approximations an d in the case of eigenfunctions to simple eigenvalues. The optimum rat es of convergence for both the approximate eigenvalues and the approxi mate eigenfunctions are obtained.