Sielemann, Michael und Schmitz, Gerhard (2011) A quantitative metric for robustness of nonlinear algebraic equation solvers. Mathematics and Computers in Simulation, 81 (12), Seiten 2673-2687. Elsevier.
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Kurzfassung
Practitioners in the area of dynamic simulation of technical systems report difficulties at times with steady-state initialization of models developed using general declarative modeling languages. These difficulties are analyzed in detail in this work and a rigorous approach to quantify robustness in the context of nonlinear algebraic equation systems is presented. Thsi tool is then utilized in a study of six state of the art gradient-based iterative solvers on a set of industrial test problems. Finally, conclusions are drawn on the observed solver robustness in general, and it is argued wheather the reported difficultites with steady-state initialization can be supported using the proposed quantitative metric.
elib-URL des Eintrags: | https://elib.dlr.de/73039/ | ||||||||||||
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Dokumentart: | Zeitschriftenbeitrag | ||||||||||||
Titel: | A quantitative metric for robustness of nonlinear algebraic equation solvers | ||||||||||||
Autoren: |
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Datum: | 2011 | ||||||||||||
Erschienen in: | Mathematics and Computers in Simulation | ||||||||||||
Referierte Publikation: | Ja | ||||||||||||
Open Access: | Nein | ||||||||||||
Gold Open Access: | Nein | ||||||||||||
In SCOPUS: | Ja | ||||||||||||
In ISI Web of Science: | Ja | ||||||||||||
Band: | 81 | ||||||||||||
Seitenbereich: | Seiten 2673-2687 | ||||||||||||
Verlag: | Elsevier | ||||||||||||
Status: | veröffentlicht | ||||||||||||
Stichwörter: | Robustness, nonlinear algebraic equation system, mult domaini physical modeling, steady state initialization, dynamical system, declarative modeling, Modelica | ||||||||||||
HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||
HGF - Programm: | Luftfahrt | ||||||||||||
HGF - Programmthema: | Starrflügler (alt) | ||||||||||||
DLR - Schwerpunkt: | Luftfahrt | ||||||||||||
DLR - Forschungsgebiet: | L AR - Starrflüglerforschung | ||||||||||||
DLR - Teilgebiet (Projekt, Vorhaben): | L - Systeme & Kabine (alt) | ||||||||||||
Standort: | Oberpfaffenhofen | ||||||||||||
Institute & Einrichtungen: | Institut für Robotik und Mechatronik (bis 2012) > Systemdynamik und Regelungstechnik (war Entwurfsorientierte Regelungstechnik) | ||||||||||||
Hinterlegt von: | Klauer, Monika | ||||||||||||
Hinterlegt am: | 15 Dez 2011 17:09 | ||||||||||||
Letzte Änderung: | 12 Dez 2013 21:30 |
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