Index-aware Model Order Reduction Methods Applications to Differenti
The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction. The splitting produces a system o
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N. Banagaaya G. Alì W.H.A. Schilders
Index-aware Model Order Reduction Methods Applications to Differential-Algebraic Equations
Atlantis Studies in Scientific Computing in Electromagnetics Volume 2
Series editor Wil Schilders, Dept Mathematics & Comp Sci, Eindhoven Univ of Tech, Eindhoven, The Netherlands
This series contains volumes on scientific computing for a wide range of electromagnetics problems. The electronics industry, in a very broad sense, is at the forefront of innovation, and our daily life is very much dependent on achievements in this area. These are mainly enabled by rapid developments in sophisticated virtual design environments, numerical methods being at the core of these. Volumes in the series provide details on the modeling, analysis and simulation of problems, as well as on the design process of robust solution methods. Applications range from simple benchmark problems to industrial problems at the forefront of current research and development. For more information on this series and our other book series, please visit our website: www.atlantis-press.com Atlantis Press 8 square des Bouleaux 75019 Paris, France
More information about this series at http://www.springer.com/series/13301
N. Banagaaya G. Alì W.H.A. Schilders •
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Index-aware Model Order Reduction Methods Applications to Differential-Algebraic Equations
N. Banagaaya Computational Methods in Systems and Control Theory MPI for Dynamics of Complex Technical Systems Magdeburg Germany
W.H.A. Schilders Department of Mathematics and Computer Science Eindhoven University of Technology Eindhoven The Netherlands
G. Alì Department of Physics University of Calabria Arcavacata di Rende Cosenza Italy
ISSN 2352-0590 ISSN 2352-0604 (electronic) Atlantis Studies in Scientific Computing in Electromagnetics ISBN 978-94-6239-188-8 ISBN 978-94-6239-189-5 (eBook) DOI 10.2991/978-94-6239-189-5 Library of Congress Control Number: 2016932327 © Atlantis Press and the author(s) 2016 This book, or any parts thereof, may not be reproduced for commercial purposes in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system known or to be invented, without prior permission from the Publisher. Printed on acid-free paper
Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Real-Life Applications of DAEs . . . . . . . . . . . . 1.1.1 Electrical Network Problems . . . . . . . . . . 1.1.2 Computational Fluid Dynamics Problems . 1.1.3 Constrained Mechanical Problems . . . . . . 1.2 Why MOR for DAEs? . . . . . . . . . . . . . . . . . . .
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2 Differential-Algebraic Equations . . . . . . . . . . . . . . . . . . . . . . . . 2.1 What are DAEs? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Models for DAEs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 State
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