301 IGPM301.pdf        June 2009
TITLE Adaptive Eigenvalue Computation for Elliptic Operators
AUTHORS Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser
ABSTRACT This article is concerned with recent developments of adaptive wavelet solvers for elliptic eigenvalue problems. We describe the underlying abstract iteration scheme of the preconditioned perturbed iteration. We apply the iteration to a simple model problem in order to identify the main ideas which a numerical realization of the abstract scheme is based upon. This indicates how these concepts carry over to wavelet discretizations. Finally we present numerical results for the Poisson eigenvalue problem on an L-shaped domain.
KEYWORDS elliptic eigenvalue equations, preconditioned inverse iteration, adaptive algorithm