We present a unified topological analysis for physical networks coupled to black-box models. While the governing equations of the physical network are derived by representing the network as a linear graph, the equations of the black-box model are characterized as an abstract class of Differential-Algebraic equations (DAEs) of a specific form (Functional Mock-up Unit). Combining those two representations, existence and uniqueness results can be formulated based on the connectivity of the physical network and a concrete classification of the black-box models. This is the natural extension of the approach derived in .
|Journal||Proceedings in Applied Mathematics and Mechanics|
|Publication status||Published - 2019|
|Event||GAMM 2019: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - Vienna, Austria|
Duration: 18 Feb 2019 → 22 Feb 2019