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Article
A Modified Balanced POD Model Reduction Algorithm for Parabolic PDEs with Unbounded Inputs
Proceedings of the American Control Conference (2014, Portland, OR)
  • Weiwei Hu
  • John R. Singler, Missouri University of Science and Technology
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.

Meeting Name
American Control Conference (2014: Jun. 4-6, Portland, OR)
Department(s)
Mathematics and Statistics
Research Center/Lab(s)
Center for High Performance Computing Research
Keywords and Phrases
  • Computational Methods,
  • Control,
  • Balanced Truncation,
  • Convection-Diffusion Equations,
  • Dirichlet Boundary,
  • Distributed Parameter Systems,
  • Modified Algorithms,
  • Numerical Results,
  • Reduced Order Models,
  • Simulation-Based Algorithms,
  • Algorithms
International Standard Book Number (ISBN)
9781479932726
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2014 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
6-1-2014
Citation Information
Weiwei Hu and John R. Singler. "A Modified Balanced POD Model Reduction Algorithm for Parabolic PDEs with Unbounded Inputs" Proceedings of the American Control Conference (2014, Portland, OR) (2014) ISSN: 7431619
Available at: http://works.bepress.com/john-singler/10/