@Article{dbt_mods_00037144, author = {Zeiser, Andreas and Dahmen, W. and Rohwedder, T. and Schneider, R. and {Internationales Kolloquium {\"u}ber Anwendungen der Informatik und Mathematik in Architektur und Bauwesen : 07. bis 09.07. 2009, Bauhaus-Universit{\"a}t Weimar}}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten and G{\"u}rlebeck, Klaus and Koenke, Carsten}, title = {Adaptive eigenvalue computation for elliptic operators}, journal = {Internationales Kolloquium {\"u}ber Anwendungen der Informatik und Mathematik in Architektur und Bauwesen : 07. bis 09.07.2009, Bauhaus-Universit{\"a}t Weimar}, year = {2010}, month = {Jul}, day = {14}, address = {Weimar}, volume = {18, 2009}, keywords = {Angewandte Informatik; Angewandte Mathematik; Architektur ; Computerunterst{\"u}tztes Verfahren; Building Information Modeling}, abstract = {We present 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.}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2904}, url = {https://www.db-thueringen.de/receive/dbt_mods_00037144}, url = {https://doi.org/10.25643/bauhaus-universitaet.2904}, file = {:https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00043294/2-final-man_177_pdfa.pdf:PDF}, language = {en} }