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A quantitative metric for robustness of nonlinear algebraic equation solvers

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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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.

Document Type:Article
Title:A quantitative metric for robustness of nonlinear algebraic equation solvers
AuthorsInstitution or Email of Authors
Sielemann, MichaelMichael.Sielemann@DLR.de
Schmitz, GerhardTU Hamburg-Harburg
Journal or Publication Title:Mathematics and Computers in Simulation
Refereed publication:Yes
In ISI Web of Science:Yes
Page Range:pp. 2673-2687
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
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Monika Klauer
Deposited On:15 Dec 2011 17:09
Last Modified:12 Dec 2013 21:30

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