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A quantitative metric for robustness of nonlinear algebraic equation solvers
Publikationstyp
Journal Article
Date Issued
2011
Sprache
English
Author(s)
Institut
Volume
81
Issue
12
Start Page
2673
End Page
2687
Citation
Mathematics and Computers in Simulation 81 (12): 2673-2687 (2011)
Publisher DOI
Scopus ID
Publisher
Elsevier Science
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. This 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 whether the reported difficulties with steady-state initialization can be supported using the proposed quantitative metric.
Subjects
Declarative modeling
Dynamical system
Modelica
Robustness
Steady state initialization
DDC Class
004: Informatik
510: Mathematik