Tel-Aviv University
School of Mathematical Sciences
Department of Applied Mathematics

Applied Mathematics Seminar


Tuesday, February 22nd, 2011

Schreiber 309, 15:10

Dan Givoli

The Technion

Optimal Model Reduction of Dynamic Subsystems – Recent Advances

Abstract:

When dealing with the computational solution of large linear dynamic systems, one often wishes to approximate a given discrete model by another model which involves a much smaller number of degrees of freedom. There is a very large volume of literature on the subject, often called "model order reduction." One of the oldest and most popular model reduction methods, popular especially in structural dynamics, is Standard Modal Reduction (SMR), which is based on the "low frequency rule." According to this rule, reduction of the model is achieved by retaining only the modes associated with low frequencies, while discarding the modes associated with high frequencies. In this talk, the subject will be briefly reviewed. Then the special problem of substructure reduction will be considered. A new method, called Optimal Modal Reduction (OMR) will be discussed, and recent extensions and some numerical examples will be presented.