Convergence of relaxation methods for coupled systems of ODEs and DAEs
Please always quote using this URN:urn:nbn:de:0296-matheon-1774
- The purpose of this paper is the analysis of relaxation methods for the numerical integration of coupled systems of ODEs and DAEs. We will investigate convergence of relaxation methods and put special emphasis on the Jacobi- and Gauss-Seidel methods. Furthermore, the fundamental difference in the convergence behaviour of coupled ODEs and DAEs is pointed out. This difference is used to explain why certain relaxation methods for coupled DAEs may fail. Finally, a remedy to this undesirable effect is proposed that makes use of a so-called preconditioned dynamic iteration strategy. This regularization also allows significant reduction of relaxation steps.
Author: | Falk Ebert |
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URN: | urn:nbn:de:0296-matheon-1774 |
Referee: | Caren Tischendorf |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2004/11/19 |
Release Date: | 2004/09/11 |
Institute: | Technische Universität Berlin |
Preprint Number: | 176 |