NDLI: A modified balanced POD model reduction algorithm for parabolic PDEs with unbounded inputs

Content Provider	IEEE Xplore Digital Library
Author	Weiwei Hu Singler, J.R.
Copyright Year	2014
Description	Author affiliation: Dept. of Math. & Stat., Missouri Univ. of Sci. & Technol., Rolla, MO, USA (Singler, J.R.) \|\| Dept. of Math., Univ. of Southern Californa, Los Angeles, CA, USA (Weiwei Hu)
Abstract	We develop an algorithm to approximate the balanced reduced order model for linear parabolic PDE systems with an unbounded input operator and a bounded output operator. We use balanced POD, a widely used simulation-based algorithm for balanced truncation, however we modify the algorithm to avoid unusual and challenging simulations due to the unbounded input operator. We develop the modified algorithm for two classes of unbounded input operators; the first class includes Neumann boundary input operators, and the second class includes Dirichlet boundary input operators. We present numerical results for a convection diffusion equation.
Starting Page	1680
Ending Page	1685
File Size	291116
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859087
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Mathematical model Equations Reduced order systems Approximation algorithms Hilbert space Linear systems Approximation methods Computational methods Reduced order modeling Distributed parameter systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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