A quantitative metric for robustness of nonlinear algebraic equation solvers

被引：2
|
作者：
Sielemann, M. [1 ]
Schmitz, G. [2 ]
机构：
[1] Deutsch Zentrum Luft & Raumfahrt, Inst Robot & Mech, Dept Syst Dynam & Control, D-82234 Wessling, Germany
[2] Tech Univ Hamburg, Inst Thermofluid Dynam, D-21073 Hamburg, Germany
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 81卷 / 12期
关键词：
Robustness; Steady state initialization; Dynamical system; Declarative modeling; Modelica; SOFTWARE; SYSTEMS;
D O I：
10.1016/j.matcom.2011.05.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：2673 / 2687
页数：15
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