H2 optimal model order reduction for parametric systems using RBF metamodels

Sarah Grundel
Thu, Aug 8, 2013 - Sat, Aug 10, 2013
PIMS, University of British Columbia
Workshop on Numerical Linear Algebra and Optimization
Model Order Reduction Methods for linear systems are well studied and many successful methods exist. We will review some and explain more recent advances in Parametric Model Order Reduction. The focus will be on methods where we interpolate certain signi cant measures, that are computed for speci c values of the parameter by Radial Basis Function Interpolation. These measures have a disadvantage as they behave like eigenvalues of matrices depending on parameters and we will explain how that can be dealt with in practice. We will furthermore need to introduce a technique to create a medium size model.