A Domain Decomposition method based on iterative Operator Splitting method.
In this article a new approach is proposed for constructing domain decomposition methods based on iterative operator splitting methods. We study the convergence properties of such a method. The main feature of the method is the decoupling the space and time dimension. We confirm with two numerical applications the effectiveness of the proposed iterative operator splitting method in comparison with classical Schwarz waveform relaxation method as a standard method for domain decomposition. We provide improved results and convergence rates. The efficiency of considering the whole domain in the case of the iterative operator splitting method allows more accurate results.
Files in this item
Related Items
Show related Items with similar Title, Author, Creator or Subject.
-
2011-09-27BuchSplitting Method of Convection-Diffusion Methods with Disentanglement methods Disentanglement MethodsGeiser, Jürgen; Elbiomy, MahmoudIn this paper, we discuss higher-order operator-splitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We ...
-
1995-01-01ZeitschriftenartikelA Method for the Simultaneous Determination of Creatinine and Uric Acid in Serum by High-Performance-Liquid-Chromatography Evaluated Versus Reference Methods Kock, R.; Seitz, S.; Delvoux, B.; Greiling, H.
-
1990-01-01ZeitschriftenartikelComparison of Five Routine Methods with the Candidate Reference Method for the Determination of Bilirubin in Neonatal Serum Schlebusch, H.; Axer, K.; Schneider, Ch.; Liappis, N.; Röhle, G.