301	RWTH Publication No: 47103        2009        IGPM301.pdf
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
DOI	10.25643/bauhaus-universitaet.2904
PUBLICATION	Bauhaus-Universität Weimar