Preprint No. MPIMD/15-18

Title: Moment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems

Author(s): Mian Ilyas Ahmad, Peter Benner, Pawan Goyal, Jan Heiland


Date: 2015-10-22


We discuss a Krylov subspace projection method for model order reduction of a special class of quadratic-bilinear descriptor systems. The goal is to extend the two-sided moment-matching method for quadratic-bilinear ODEs to descriptor systems in an efficient and reliable way. Recent results have shown that the direct application of interpolation based model reduction techniques to linear descriptor systems, without any modifications, may lead to poor reduced-order systems. Therefore, for the analysis, we transform the quadratic-bilinear descriptor system into an equivalent quadratic-bilinear ODE system for which the moment-matching is performed. In view of implementation, we provide algorithms that identify the required Krylov subspaces without explicitly computing the projectors used in the analysis. The benefits of our approach are illustrated for the quadratic-bilinear descriptor system of semi-discretized Navier-Stokes equations.


author = {Mian Ilyas Ahmad and Peter Benner and Pawan Goyal and Jan Heiland},
title = {Moment-Matching Based Model Reduction for Stokes-Type Quadratic-Bilinear Descriptor Systems},
number = {MPIMD/15-18},
month = oct,
year = 2015,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{}},

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