DAEs in Applications
DAEs in Applications
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应用中的 DAE
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
A. Steinbrecher
中科院分区：
文献类型：
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作者：
L. Scholz;A. Steinbrecher
微分代数方程（DAE）在许多技术和工业应用中自然出现。通过结合DAE系统在某些物理域中的特殊结构，DAE正则化的一般方法可以有效地适应系统结构。我们将介绍在机械多体系统，电路方程和流动问题中出现的DAE的分析和正则化方法。在每种情况下，DAE都表现出某种结构，可以用于有效的分析和正则化。此外，我们还讨论了混合DAE系统的数值处理，这也经常出现在工业应用中。对于这样的系统，DAE的框架提供了一个强大的数值处理的基本信息。
Differential-algebraic equations (DAEs) arise naturally in many technical and industrial applications. By incorporating the special structure of the DAE systems arising in certain physical domains, the general approach for the regularization of DAEs can be efficiently adapted to the system structure. We will present the analysis and regularization approaches for DAEs arising in mechanical multibody systems, electrical circuit equations, and flow problems. In each of these cases the DAEs exhibit a certain structure that can be used for an efficient analysis and regularization. Moreover, we discuss the numerical treatment of hybrid DAE systems, that also occur frequently in industrial applications. For such systems, the framework of DAEs provides essential information for a robust numerical treatment.