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Authors: Tanja Clees ; Nils Hornung ; Igor Nikitin and Lialia Nikitina

Affiliation: Fraunhofer Institute for Algorithms and Scientific Computing, Germany

Keyword(s): Non-linear Systems, Globally Convergent Methods, Gas Transport Networks.

Related Ontology Subjects/Areas/Topics: Computer Simulation Techniques ; Formal Methods ; Mathematical Simulation ; Non-Linear Systems ; Simulation and Modeling ; Simulation Tools and Platforms

Abstract: We consider generalized resistive systems, comprising linear Kirchhoff equations and non-linear element equations, depending on the flow through the element and on two adjacent nodal variables. The derivatives of the element equation should possess a special signature. For such systems we prove the global non-degeneracy of the Jacobi matrix and the applicability of globally convergent solution tracing algorithms. We show that the stationary problems in gas transport networks belong to this generalized resistive type. We apply the tracing algorithm to several realistic networks and compare its performance with a generic Newton solver.

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Paper citation in several formats:
Clees, T.; Hornung, N.; Nikitin, I. and Nikitina, L. (2016). A Globally Convergent Method for Generalized Resistive Systems and its Application to Stationary Problems in Gas Transport Networks. In Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH; ISBN 978-989-758-199-1; ISSN 2184-2841, SciTePress, pages 64-70. DOI: 10.5220/0005958700640070

@conference{simultech16,
author={Tanja Clees. and Nils Hornung. and Igor Nikitin. and Lialia Nikitina.},
title={A Globally Convergent Method for Generalized Resistive Systems and its Application to Stationary Problems in Gas Transport Networks},
booktitle={Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH},
year={2016},
pages={64-70},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005958700640070},
isbn={978-989-758-199-1},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH
TI - A Globally Convergent Method for Generalized Resistive Systems and its Application to Stationary Problems in Gas Transport Networks
SN - 978-989-758-199-1
IS - 2184-2841
AU - Clees, T.
AU - Hornung, N.
AU - Nikitin, I.
AU - Nikitina, L.
PY - 2016
SP - 64
EP - 70
DO - 10.5220/0005958700640070
PB - SciTePress

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