Compact Modelling of Large Scale Dynamical Systems
The time dependent behaviour of spatially distributed microsystems, often including coupled fields (e.g., mechanical and electrical coupling), is of great
importance. Through the spatial discretization, for example using the finite
element method, we obtain very large ordinary differential equation systems, which often cannot be solved efficiently.
In this lecture you will be introduced to Model Order Reduction Methods, which allow to automatically obtain smaller/compact models, enabling so, efficient but accurate simulation of the same multi-physical phenomena.
The methods will be demonstrated on concrete microsystem applications.
T. Bechtold, G. Schrag, L. Feng (eds), System-Level Modeling of MEMS, (Wiley-VCH Verlag GmbH & Co. KGaA, ISBN: 3527319034), 2013
Athanasios C. Antoulas: Approximation of Large-Scale Dynamical Systems, SIAM 2005