Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods

Performing acoustic, vibro-acoustic and aero-acoustic computations using MUMPS

This talk focuses on the direct solution of large complex indefinite unsymmetric systems, that arise in acoustic, vibro-acoustic and aero-acoustic simulations. These systems are structurally symmetric and may contain some large dense blocks, e.g. due to the selection of hybrid modal/physical representations in the model. The first part of the talk gives an overview of the experienced MUMPS capa...

Model reduction of modular systems using balancing methods

2. Model reduction via balancing techniques 2 2.1. Gramians for linear, time-invariant systems . . . . . . . . . . . . . . . . . . . . 3 2.2. Empirical gramians for nonlinear systems . . . . . . . . . . . . . . . . . . . . . 5 2.3. Calculating the balancing transformation . . . . . . . . . . . . . . . . . . . . . . 7 2.4. Model reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

Model Order Reduction for Coupled Problems

In this survey, we provide an overview of model order reduction (MOR) methods applied to coupled systems. The coupling can be linear or nonlinear, weak or strong. Physically, the coupling may come from structurestructure coupling, fluid-structure or fluid-fluid interaction, electro-thermal coupling, electroor thermal-mechanical coupling, or circuit-device coupling. Different MOR methods for cou...

Interpolation-based Parametric Model Order Reduction for Elastic Multibody Systems

The consideration of elastic effects as well as nonlinear rigid body motions makes the description of mechanical systems by elastic multibody systems (EMBS) a powerful tool in the development process. Due to the fine spatial discretization of the elastic continuum, the reduction of the elastic degrees of freedom is necessary. This essential step to enable efficient EMBS simulations can be execu...

Interpolation Methods for the Model Reduction of Bilinear Systems