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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. A globally convergent method for generalized resistive systems and its application to stationary problems in gas transport networks
 Merkuryev, Yuri: SIMULTECH 2016, 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Proceedings : July 29  31, 2016, Lisbon, Portugal Setúbal: SciTePress, 2016 ISBN: 9789897581991 ISBN: 9897581995 pp.6470 
 International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH) <6, 2016, Lisbon> 

 English 
 Conference Paper 
 Fraunhofer SCAI () 
Abstract
We consider generalized resistive systems, comprising linear Kirchhoff equations and nonlinear 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 nondegeneracy 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.