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Preconditioned dynamic iteration for coupled differential-algebraic systems

Arnold, M. and Günther, M. (1999) Preconditioned dynamic iteration for coupled differential-algebraic systems. DLR-Interner Bericht. 532-99-01, 21 S.

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Abstract

The network approach to the modelling of complex technical systems results frequently is a set of differential-algebraic systems that are connected by coupling conditions. A common approach to the numerical solution of such coupled problems is based on the coupling of standard time integration, methods for the subsystems. As a unified framework for the convergence analysis of such multi-rate, multi-method or dynamic iteration approaches we study in the present paper the convergence of a dynamic iteration method with a (small) finite number of iteration steps in each window. Preconditioning is used to guarantee stability of the coupled numerical methods. The theoretical results are applied to quasilinar problems from electrical circuit simulation and to index-3 systems arising in multibody dynamics.

Item URL in elib:https://elib.dlr.de/14147/
Document Type:Monograph (DLR-Interner Bericht)
Additional Information: LIDO-Berichtsjahr=1999,
Title:Preconditioned dynamic iteration for coupled differential-algebraic systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Arnold, M.UNSPECIFIEDUNSPECIFIED
Günther, M.Universität KarlsruheUNSPECIFIED
Date:1999
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:21
Status:Published
Keywords:differential-algebraic systems, coupled problems, dynamic iteration, waveform relaxation
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L ST - Starrflüglertechnologien
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Göttingen
Institutes and Institutions:Institute of Aeroelasticity
Deposited By: Klauer, Monika
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 21:28

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