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Sielemann, Michael and Schmitz, Gerhard (2011) A quantitative metric for robustness of nonlinear algebraic equation solvers. Mathematics and Computers in Simulation, 81 (12), pp. 2673-2687. Elsevier.
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Abstract
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.
| Item URL in elib: | https://elib.dlr.de/73039/ | |||||||||
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| Document Type: | Article | |||||||||
| Title: | A quantitative metric for robustness of nonlinear algebraic equation solvers | |||||||||
| Authors: |
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| Date: | 2011 | |||||||||
| Journal or Publication Title: | Mathematics and Computers in Simulation | |||||||||
| Refereed publication: | Yes | |||||||||
| Open Access: | No | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | Yes | |||||||||
| In ISI Web of Science: | Yes | |||||||||
| Volume: | 81 | |||||||||
| Page Range: | pp. 2673-2687 | |||||||||
| Publisher: | Elsevier | |||||||||
| Status: | Published | |||||||||
| Keywords: | Robustness, nonlinear algebraic equation system, mult domaini physical modeling, steady state initialization, dynamical system, declarative modeling, Modelica | |||||||||
| HGF - Research field: | Aeronautics, Space and Transport | |||||||||
| HGF - Program: | Aeronautics | |||||||||
| HGF - Program Themes: | Aircraft Research (old) | |||||||||
| DLR - Research area: | Aeronautics | |||||||||
| DLR - Program: | L AR - Aircraft Research | |||||||||
| DLR - Research theme (Project): | L - Systems & Cabin (old) | |||||||||
| Location: | Oberpfaffenhofen | |||||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | |||||||||
| Deposited By: | Klauer, Monika | |||||||||
| Deposited On: | 15 Dec 2011 17:09 | |||||||||
| Last Modified: | 12 Dec 2013 21:30 |
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